Numerical Methods of Statistics: Contents
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[1] Forman S. Acton,et al. Numerical methods that work , 1970 .
[2] Takuji Nishimura,et al. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.
[3] D. Boos. On Generalized Score Tests , 1992 .
[4] M. Dowell,et al. A modified regula falsi method for computing the root of an equation , 1971 .
[5] Nancy E. Bosten,et al. Incomplete Beta Ratio (Remark on Algorithm 179) , 1974, Commun. ACM.
[6] Marcello Pagano,et al. When is an altoregressive scheme stationary , 1973 .
[7] T. W. Anderson,et al. Statistical analysis of time series , 1972 .
[8] William J. Stewart,et al. A Simultaneous Iteration Algorithm for Real Matrices , 1981, TOMS.
[9] Brian D. Ripley,et al. Stochastic Simulation , 2005 .
[10] Changbao Wu,et al. Asymptotic Theory of Nonlinear Least Squares Estimation , 1981 .
[11] J. Geweke,et al. Bayesian Inference in Econometric Models Using Monte Carlo Integration , 1989 .
[12] B. Ripley. Computer generation of random variables: a tutorial , 1983 .
[13] Maxwell L. King,et al. IMPROVING THE NUMERICAL TECHNIQUE FOR COMPUTING THE ACCUMULATED DISTRIBUTION OF A QUADRATIC FORM IN NORMAL VARIABLES , 2002 .
[14] Ted G. Lewis,et al. Generalized Feedback Shift Register Pseudorandom Number Algorithm , 1973, JACM.
[15] Dennis D. Boos,et al. Using extreme value theory to estimate large percentiles , 1984 .
[16] John F. Monahan. Extensions of von Neumann’s method for generating random variables , 1979 .
[17] Thomas J. Santner,et al. A note on A. Albert and J. A. Anderson's conditions for the existence of maximum likelihood estimates in logistic regression models , 1986 .
[18] W. Weston Meyer,et al. Optimal error bounds for cubic spline interpolation , 1976 .
[19] Ross Ihaka,et al. Lexical Scope and Statistical Computing , 2000 .
[20] J. G. Ramage,et al. Computer methods for sampling from student's t distribution , 1977 .
[21] J. Roscoe,et al. An Investigation of the Restraints with Respect to Sample Size Commonly Imposed on the Use of the Chi-Square Statistic , 1971 .
[22] J. Monahan. Fully Bayesian analysis of ARMA time series models , 1983 .
[23] R. Singleton. An algorithm for computing the mixed radix fast Fourier transform , 1969 .
[24] E S Eppright,et al. Nutrition of infants and preschool children in the North Central Region of the United States of America. , 1972, World review of nutrition and dietetics.
[25] R. Lew,et al. An Approximation to the Cumulative Normal Distribution with Simple Coefficients , 1981 .
[26] G. S. Fishman,et al. A Statistical Evaluation of Multiplicative Congruential Random Number Generators with Modulus 231 — 1 , 1982 .
[27] B. Efron,et al. Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information , 1978 .
[28] Chris Chatfield,et al. Introduction to Statistical Time Series. , 1976 .
[29] L. Devroye. Non-Uniform Random Variate Generation , 1986 .
[30] S. E. Hills,et al. Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling , 1990 .
[31] R. H. Myers. Classical and modern regression with applications , 1986 .
[32] S. Tezuka. Uniform Random Numbers: Theory and Practice , 1995 .
[33] A. Stroud. Approximate calculation of multiple integrals , 1973 .
[34] Irving John Good,et al. Exact Distributions for χ2 and for the Likelihood-Ratio Statistic for the Equiprobable Multinomial Distribution , 1970 .
[35] A. Stroud,et al. Approximate Calculation of Integrals , 1962 .
[36] John F. Monahan. An algorithm for generating chi random variables , 1987, TOMS.
[37] Josef Leydold,et al. Automatic sampling with the ratio-of-uniforms method , 2000, TOMS.
[38] Daniel A. Relles. Variance Reduction Techniques for Monte Carlo Sampling from Student Distributions , 1970 .
[39] T. A. Ryan,et al. Algorithm 516: An Algorithm for Obtaining Confidence Intervals and Point Estimates Based on Ranks in the Two-Sample Location Problem [G1] , 1977, TOMS.
[40] M. Powell. A New Algorithm for Unconstrained Optimization , 1970 .
[41] Henry R. Neave,et al. On Using the Box‐Müller Transformation with Multiplicative Congruential Pseudo‐Random Number Generators , 1973 .
[42] M. Bartlett. XX.—On the Theory of Statistical Regression. , 1934 .
[43] Å. Björck. Solving linear least squares problems by Gram-Schmidt orthogonalization , 1967 .
[44] R. R. Hocking,et al. Algorithm AS 53: Wishart Variate Generator , 1972 .
[45] R. Davies. Numerical inversion of a characteristic function , 1973 .
[46] M. R. B. Clarke,et al. A Givens Algorithm for Moving from One Linear Model to Another Without Going Back to the Data , 1981 .
[47] Walter R. Gilks,et al. Introduction to general state-space Markov chain theory , 1995 .
[48] I. P. Mysovskikh. THE APPROXIMATION OF MULTIPLE INTEGRALS BY USING INTERPOLATORY CUBATURE FORMULAE , 1980 .
[49] Peter Craven,et al. Smoothing noisy data with spline functions , 1978 .
[50] G. Marsaglia. Generating Exponential Random Variables , 1961 .
[51] David G. Luenberger,et al. Linear and nonlinear programming , 1984 .
[52] R. Kronmal,et al. On the Alias Method for Generating Random Variables From a Discrete Distribution , 1979 .
[53] S. Chib,et al. Understanding the Metropolis-Hastings Algorithm , 1995 .
[54] Roy E. Welsch,et al. Efficient Computing of Regression Diagnostics , 1981 .
[55] R. Davies. The distribution of a linear combination of 2 random variables , 1980 .
[56] R. Tibshirani. Regression Shrinkage and Selection via the Lasso , 1996 .
[57] Philip Rabinowitz,et al. Methods of Numerical Integration , 1985 .
[58] Adrian F. M. Smith,et al. Bayesian Inference for Generalized Linear and Proportional Hazards Models Via Gibbs Sampling , 1993 .
[59] P. Hall. On Some Simple Estimates of an Exponent of Regular Variation , 1982 .
[60] E. Frome. The analysis of rates using Poisson regression models. , 1983, Biometrics.
[61] Peter D. Welch,et al. Historical notes on the fast Fourier transform , 1967 .
[62] Bradley P. Carlin,et al. Markov Chain Monte Carlo in Practice: A Roundtable Discussion , 1998 .
[63] C. Kelley. Iterative Methods for Linear and Nonlinear Equations , 1987 .
[64] Gary Simon. Computer Simulation Swindles, with Applications to Estimates of Location and Dispersion , 1976 .
[65] A. Albert,et al. On the existence of maximum likelihood estimates in logistic regression models , 1984 .
[66] G. Forsythe. Von Neumann''s comparison method for random sampling from the normal and other distributions. , 1972 .
[67] M. Stephens. Use of the Kolmogorov-Smirnov, Cramer-Von Mises and Related Statistics without Extensive Tables , 1970 .
[68] Armido R. Didonato,et al. Algorithm 708: Significant digit computation of the incomplete beta function ratios , 1988, TOMS.
[69] C. Chatfield,et al. Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.
[70] Nitin R. Patel,et al. ALGORITHM 643: FEXACT: a FORTRAN subroutine for Fisher's exact test on unordered r×c contingency tables , 1986, TOMS.
[71] H. Keng,et al. Applications of number theory to numerical analysis , 1981 .
[72] M. E. Muller,et al. A Note on the Generation of Random Normal Deviates , 1958 .
[73] John D. Vedder,et al. An invertible approximation to the normal distribution function , 1993 .
[74] Alfred V. Aho,et al. The Design and Analysis of Computer Algorithms , 1974 .
[75] E. Haeusler,et al. On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation , 1985 .
[76] Mark Priestley. Practical Object-Oriented Design , 1996 .
[77] Alan Jennings,et al. Matrix Computation for Engineers and Scientists , 1977 .
[78] C. Geyer,et al. Discussion: Markov Chains for Exploring Posterior Distributions , 1994 .
[79] T. A. Bray,et al. A Convenient Method for Generating Normal Variables , 1964 .
[80] Carl de Boor,et al. A Practical Guide to Splines , 1978, Applied Mathematical Sciences.
[81] S. Fienberg,et al. Efficient Calculation of All Possible Regressions , 1968 .
[82] William J. Stewart,et al. A comparison of numerical techniques in Markov modeling , 1978, CACM.
[83] Mark B. Wells. Generation of permutations by transposition , 1961 .
[84] D. Tritchler. An Algorithm for Exact Logistic Regression , 1984 .
[85] F. R. Gantmakher. The Theory of Matrices , 1984 .
[86] G. Alefeld,et al. Introduction to Interval Computation , 1983 .
[87] M GayDavid,et al. Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach , 1983 .
[88] D. G. Watts,et al. Relative Curvature Measures of Nonlinearity , 1980 .
[89] W. E. Gentleman. Least Squares Computations by Givens Transformations Without Square Roots , 1973 .
[90] G. Casella,et al. Explaining the Gibbs Sampler , 1992 .
[91] J. Neyman,et al. Consistent Estimates Based on Partially Consistent Observations , 1948 .
[92] M. R. Osborne,et al. On the LASSO and its Dual , 2000 .
[93] Andrew F. Siegel,et al. Unbiased Monte Carlo Integration Methods with Exactness for Low Order Polynomials , 1985 .
[94] Carl Tim Kelley,et al. Iterative methods for optimization , 1999, Frontiers in applied mathematics.
[95] C. A. R. Hoare,et al. Algorithm 64: Quicksort , 1961, Commun. ACM.
[96] R. E. Kalman,et al. Optimum Seeking Methods. , 1964 .
[97] G. M. Furnival. All Possible Regressions with Less Computation , 1971 .
[98] Jorge J. Moré,et al. Testing Unconstrained Optimization Software , 1981, TOMS.
[99] Pierre L'Ecuyer,et al. Random numbers for simulation , 1990, CACM.
[100] Lauwerens Kuipers,et al. Uniform distribution of sequences , 1974 .
[101] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[102] Walter Gautschi,et al. A Computational Procedure for Incomplete Gamma Functions , 1979, TOMS.
[103] C. Ansley. An algorithm for the exact likelihood of a mixed autoregressive-moving average process , 1979 .
[104] John E. Dennis,et al. An Adaptive Nonlinear Least-Squares Algorithm , 1977, TOMS.
[105] R. Koenker,et al. The Gaussian hare and the Laplacian tortoise: computability of squared-error versus absolute-error estimators , 1997 .
[106] Harald Niederreiter,et al. A statistical analysis of generalized feedback shift register pseudorandom number generators , 1987 .
[107] George Marsaglia,et al. Uniform Random Number Generators , 1965, JACM.
[108] J. Monahan,et al. Spherical-Radial Integration Rules for Bayesian Computation , 1997 .
[109] L. L. Cam,et al. On the Asymptotic Theory of Estimation and Testing Hypotheses , 1956 .
[110] John A. Nelder,et al. A Simplex Method for Function Minimization , 1965, Comput. J..
[111] Shu Tezuka,et al. The k-distribution of generalized feedback shift register pseudorandom numbers , 1983, CACM.
[112] M. Pagano,et al. On Obtaining Permutation Distributions in Polynomial Time , 1983 .
[113] Gene H. Golub,et al. Rules and software for detecting rank degeneracy , 1980 .
[114] B. Silverman,et al. Some Aspects of the Spline Smoothing Approach to Non‐Parametric Regression Curve Fitting , 1985 .
[115] Robert F. Ling,et al. A Study of the Accuracy of Some Approximations for t, χ2, and F Tail Probabilities , 1978 .
[116] New York Dover,et al. ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHM , 1983 .
[117] B. Silverman. Density estimation for statistics and data analysis , 1986 .
[118] D. Goldfarb. Factorized variable metric methods for unconstrained optimization , 1976 .
[119] L. Rabiner,et al. The chirp z-transform algorithm and its application , 1969 .
[120] L. Mark Berliner,et al. Subsampling the Gibbs Sampler , 1994 .
[121] James W. Longley. An Appraisal of Least Squares Programs for the Electronic Computer from the Point of View of the User , 1967 .
[122] W. K. Hastings,et al. Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .
[123] R. Tausworthe. Random Numbers Generated by Linear Recurrence Modulo Two , 1965 .
[124] Tony F. Chan,et al. An Improved Algorithm for Computing the Singular Value Decomposition , 1982, TOMS.
[125] John F. Monahan,et al. Algorithm 616: fast computation of the Hodges-Lehmann location estimator , 1984, ACM Trans. Math. Softw..
[126] W. Gilks,et al. Adaptive Rejection Metropolis Sampling Within Gibbs Sampling , 1995 .
[127] L. R. Moore,et al. An Exhaustive Analysis of Multiplicative Congruential Random Number Generators with Modulus $2^{31} - 1$ , 1986 .
[128] Richard M. Heiberger,et al. Generation of Random Orthogonal Matrices , 1978 .
[129] Philip Heidelberger,et al. Simulation Run Length Control in the Presence of an Initial Transient , 1983, Oper. Res..
[130] G. C. Tiao,et al. Bayesian inference in statistical analysis , 1973 .
[131] G. Wahba,et al. Gcvpack – routines for generalized cross validation , 1987 .
[132] T. Hesterberg,et al. Weighted Average Importance Sampling and Defensive Mixture Distributions , 1995 .
[133] Alastair J. Walker,et al. An Efficient Method for Generating Discrete Random Variables with General Distributions , 1977, TOMS.
[134] A. Raftery,et al. How Many Iterations in the Gibbs Sampler , 1991 .
[135] P. A. W. Lewis,et al. A Pseudo-Random Number Generator for the System/360 , 1969, IBM Syst. J..
[136] G. Casella,et al. The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models , 1996 .
[137] G. P. Bhattacharjee,et al. Algorithm AS 63: The Incomplete Beta Integral , 1973 .
[138] Gene H. Golub,et al. The simplex method of linear programming using LU decomposition , 1969, Commun. ACM.
[139] A. F. Smith,et al. Conjugate likelihood distributions , 1993 .
[140] G. Stewart. The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators , 1980 .
[141] A. Raftery,et al. Space-time modeling with long-memory dependence: assessing Ireland's wind-power resource. Technical report , 1987 .
[142] Linus Schrage,et al. A More Portable Fortran Random Number Generator , 1979, TOMS.
[143] Jack Dongarra,et al. LINPACK Users' Guide , 1987 .
[144] P. D. Coddington,et al. Analysis of random number generators using Monte Carlo simulation , 1993, cond-mat/9309017.
[145] John F. Monahan,et al. Accuracy in random number generation , 1985 .
[146] M. C. Jones,et al. Spline Smoothing and Nonparametric Regression. , 1989 .
[147] G. S. Watson. Statistics on Spheres , 1983 .
[148] Michael N. Vrahatis,et al. Solving systems of nonlinear equations using the nonzero value of the topological degree , 1988, TOMS.
[149] I. D. Hill,et al. Remark on Algorithm 179: Incomplete Beta ratio , 1967, CACM.
[150] James Hardy Wilkinson,et al. Symmetric decomposition of positive definite band matrices , 1965 .
[151] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[152] R. Jennrich,et al. Application of Stepwise Regression to Non-Linear Estimation , 1968 .
[153] R. Cranley,et al. Randomization of Number Theoretic Methods for Multiple Integration , 1976 .
[154] A. W. van der Vaart,et al. On Profile Likelihood , 2000 .
[155] S. K. Park,et al. Random number generators: good ones are hard to find , 1988, CACM.
[156] Åke Björck,et al. Numerical Methods , 2021, Markov Renewal and Piecewise Deterministic Processes.
[157] D. F. Andrews,et al. Robust Estimates of Location , 1972 .
[158] Philip E. Gill,et al. Numerically stable methods for quadratic programming , 1978, Math. Program..
[159] Ernst Stadlober,et al. Sampling from Poisson, binomial and hypergeometric distributions: ratio of uniforms as a simple and fast alternative , 1989 .
[160] John F. Monahan. An alternative method for computing overflow probabilities , 1987 .
[161] Douglas M. Bates,et al. Nonlinear Regression Analysis and Its Applications , 1988 .
[162] George M. Furnival,et al. Regressions by leaps and bounds , 2000 .
[163] Carter Bays,et al. Improving a Poor Random Number Generator , 1976, TOMS.
[164] K. Fang,et al. Number-theoretic methods in statistics , 1993 .
[165] Petko D. Proinov. Discrepancy and integration of continuous functions , 1988 .
[166] S. R. Searle. Linear Models , 1971 .
[167] P. J. Huber. Robust Estimation of a Location Parameter , 1964 .
[168] T. N. Sriram. Asymptotics in Statistics–Some Basic Concepts , 2002 .
[169] Herbert S. Bright,et al. Quasi-Random Number Sequences from a Long-Period TLP Generator with Remarks on Application to Cryptography , 1979, CSUR.
[170] John F. Monahan. Approximating the Log of the Normal Cumulative , 1981 .
[171] E. R. Golder. The Spectral Test for the Evaluation of Congruential Pseudo‐Random Generators , 1976 .
[172] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.
[173] Roy H. Wampler. Test procedures and test problems for least squares algorithms , 1980 .
[174] D. Poirier. Piecewise Regression Using Cubic Splines , 1973 .
[175] H. Ruben,et al. Probability Content of Regions Under Spherical Normal Distributions, III: The Bivariate Normal Integral , 1961 .
[176] J. Hammersley,et al. Monte Carlo Methods , 1965 .
[177] W. Gilks,et al. Adaptive Rejection Sampling for Gibbs Sampling , 1992 .
[178] M. F. Hutchinson,et al. Algorithm 642: A fast procedure for calculating minimum cross-validation cubic smoothing splines , 1986, TOMS.
[179] J. Tukey,et al. An algorithm for the machine calculation of complex Fourier series , 1965 .
[180] J.E. Dennis,et al. A user's guide to nonlinear optimization algorithms , 1984, Proceedings of the IEEE.
[181] E. Stadlober,et al. The ratio of uniforms approach for generating discrete random variates , 1990 .
[182] Gary D. Knott. A numbering system for combinations , 1974, CACM.
[183] L. Tierney,et al. Accurate Approximations for Posterior Moments and Marginal Densities , 1986 .
[184] Alan M. Ferrenberg,et al. Monte Carlo simulations: Hidden errors from "good" random number generators. , 1992, Physical review letters.
[185] L. Tierney. Markov Chains for Exploring Posterior Distributions , 1994 .
[186] B. M. Hill,et al. A Simple General Approach to Inference About the Tail of a Distribution , 1975 .
[187] William J. Stewart,et al. Numerical Solution of Markov Chains , 1993 .
[188] John F. Hart,et al. Computer Approximations , 1978 .
[189] J. L. Hodges,et al. Estimates of Location Based on Rank Tests , 1963 .
[190] C. T. Fike. Computer Evaluation of Mathematical Functions , 1970 .
[191] Dominique Maisonneuve. Recherche et Utilisation des “Bons Treillis.” Programmation et Résultats Numériques , 1972 .
[192] C. Lawson,et al. Solving least squares problems , 1976, Classics in applied mathematics.
[193] D. J. Finney,et al. The estimation from individual records of the relationship between dose and quantal response. , 1947, Biometrika.
[194] Charles J. Geyer,et al. Practical Markov Chain Monte Carlo , 1992 .
[195] Donald B. Rubin,et al. The Acceptability of Regression Solutions: Another Look at Computational Accuracy , 1976 .
[196] Gene H. Golub,et al. Matrix computations , 1983 .
[197] P. Holland,et al. Robust regression using iteratively reweighted least-squares , 1977 .
[198] W. Wong,et al. The calculation of posterior distributions by data augmentation , 1987 .
[199] Cecil Hastings,et al. Approximations for digital computers , 1955 .
[200] Jorge J. Moré,et al. The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .
[201] G. Kedem,et al. A table of good lattice points in three dimensions , 1974 .
[202] Albert J. Kinderman,et al. Computer Generation of Random Variables Using the Ratio of Uniform Deviates , 1977, TOMS.
[203] D. Rubin,et al. Inference from Iterative Simulation Using Multiple Sequences , 1992 .
[204] Joseph B. Kruskal,et al. Extremely portable random number generator , 1969, CACM.
[205] J. Imhof. Computing the distribution of quadratic forms in normal variables , 1961 .
[206] Alan Agresti,et al. Exact conditional tests for cross-classifications: Approximation of attained significance levels , 1979 .
[207] T. Brubaker,et al. Nonlinear Parameter Estimation , 1979 .
[208] H. H. Rosenbrock,et al. An Automatic Method for Finding the Greatest or Least Value of a Function , 1960, Comput. J..
[209] B. J. R. Bailey. Alternatives to Hastings' Approximation to the Inverse of the Normal Cumulative Distribution Function , 1981 .
[210] J. L. Walsh,et al. The theory of splines and their applications , 1969 .
[211] H. C. Williams,et al. Advanced Linear Programming , 1983, The Mathematical Gazette.
[212] William M. Waite,et al. Software manual for the elementary functions , 1980 .
[213] P. McCullagh,et al. Generalized Linear Models , 1992 .
[214] R. C. Elston,et al. Estimation of Time-Response Curves and Their Confidence Bands , 1962 .
[215] William G. Poole,et al. A geometric theory for the QR, LU and power iterations. , 1973 .
[216] G. W. Snedecor. Statistical Methods , 1964 .
[217] G. Marsaglia. Random numbers fall mainly in the planes. , 1968, Proceedings of the National Academy of Sciences of the United States of America.
[218] Marcello Pagano,et al. WHEN IS AN AUTOREGRESSIVE SCHEME STATIONARY , 1973 .
[219] James Hardy Wilkinson,et al. Linear algebra , 1971, Handbook for automatic computation.
[220] Wolfgang Hörmann,et al. A portable random number generator well suited for the rejection method , 1993, TOMS.
[221] M. Degroot. Optimal Statistical Decisions , 1970 .
[222] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .
[223] G. Marsaglia. The Structure of Linear Congruential Sequences , 1972 .
[224] G. Stewart. The economical storage of plane rotations , 1976 .
[225] James Durbin,et al. The fitting of time series models , 1960 .
[226] L. N. Balaam,et al. Statistical Theory and Methodology in Science and Engineering , 1966 .
[227] G. R. Hext,et al. Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation , 1962 .
[228] A. Wald. Note on the Consistency of the Maximum Likelihood Estimate , 1949 .
[229] David Tritchler,et al. On Inverting Permutation Tests , 1984 .
[230] John F. Monahan,et al. Monte Carlo Comparison of ANOVA, MIVQUE, REML, and ML Estimators of Variance Components , 1984 .
[231] A. Wald,et al. On the Choice of the Number of Class Intervals in the Application of the Chi Square Test , 1942 .
[232] Pierre L'Ecuyer,et al. Efficient and portable combined random number generators , 1988, CACM.
[233] Philip E. Gill,et al. Practical optimization , 1981 .
[234] M. V. Ramakrishna. Computing the probability of hash table/urn overflow , 1987 .
[235] Calyampudi R. Rao,et al. Linear Statistical Inference and Its Applications. , 1975 .
[236] G. Stewart,et al. Matrix Perturbation Theory , 1990 .
[237] D. R. Divgi. Calculation of Univariate and Bivariate Normal Probability Functions , 1979 .
[238] Joseph L. Leva. A fast normal random number generator , 1992, TOMS.
[239] R. W. Wedderburn,et al. On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models , 1976 .
[240] G. Wahba. Interpolating Spline Methods for Density Estimation I. Equi-Spaced Knots , 1975 .
[241] W. J. Cody,et al. Rational Chebyshev approximation using linear equations , 1968 .
[242] I. Weissman. Estimation of Parameters and Large Quantiles Based on the k Largest Observations , 1978 .
[243] D. Pollard. A User's Guide to Measure Theoretic Probability by David Pollard , 2001 .
[244] Anthony C. Davison,et al. Bootstrap methods and their application: Tests , 1997 .
[245] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[246] Masaaki Sibuya,et al. On exponential and other random variable generators , 1961 .
[247] Donald Ervin Knuth,et al. The Art of Computer Programming , 1968 .
[248] Gwilym M. Jenkins,et al. Time series analysis, forecasting and control , 1972 .
[249] Donald B. Johnson,et al. Lower Bounds for Selection in X + Y and Other Multisets , 1978, JACM.
[250] R. Plemmons,et al. Comparison of Some Direct Methods for Computing Stationary Distributions of Markov Chains , 1984 .
[251] E. C. Fieller. SOME PROBLEMS IN INTERVAL ESTIMATION , 1954 .
[252] John Geweke,et al. Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments , 1991 .
[253] J. Monahan. A note on enforcing stationarity in autoregressive-moving average models , 1984 .
[254] Gene H. Golub,et al. Algorithms for Computing the Sample Variance: Analysis and Recommendations , 1983 .
[255] L. Lecam. On the Assumptions Used to Prove Asymptotic Normality of Maximum Likelihood Estimates , 1970 .
[256] D. Rubin,et al. Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .
[257] W. F. Trench. An Algorithm for the Inversion of Finite Toeplitz Matrices , 1964 .
[258] G. O. Wesolowsky,et al. On the computation of the bivariate normal integral , 1990 .
[259] S. Weisberg,et al. Residuals and Influence in Regression , 1982 .
[260] Andreas Griewank,et al. Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition , 2000, Frontiers in applied mathematics.
[261] Alston S. Householder,et al. The Theory of Matrices in Numerical Analysis , 1964 .
[262] R. E. Odeh,et al. Algorithm AS 70: The Percentage Points of the Normal Distribution , 1974 .
[263] Peter Alfeld,et al. The exact analysis of sparse rectangular linear systems , 1991, TOMS.
[264] J. Wolfowitz. On Wald's Proof of the Consistency of the Maximum Likelihood Estimate , 1949 .
[265] W. W. Muir,et al. Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .
[266] A. Gallant,et al. Nonlinear Statistical Models , 1988 .
[267] Ronald A. Thisted,et al. A Remark on as 127. Generation of Random Orthogonal Matrices , 1982 .
[268] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[269] Zvi Drezner,et al. Computation of the bivariate normal integral , 1978 .
[270] H. Niederreiter. Quasi-Monte Carlo methods and pseudo-random numbers , 1978 .
[271] Paul Bratley,et al. A guide to simulation , 1983 .
[272] W. G. Cochran. Some Methods for Strengthening the Common χ 2 Tests , 1954 .
[273] D. Marquardt. An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .
[274] Ed Anderson,et al. LAPACK Users' Guide , 1995 .
[275] L. Bluestein. A linear filtering approach to the computation of discrete Fourier transform , 1970 .
[276] B. Silverman,et al. Kernel Density Estimation Using the Fast Fourier Transform , 1982 .
[277] Marcello Pagano,et al. Efficient Calculation of the Permutation Distribution of Trimmed Means , 1991 .
[278] Nicholas G. Polson,et al. On the Geometric Convergence of the Gibbs Sampler , 1994 .
[279] R. Tapia,et al. Nonparametric Probability Density Estimation , 1978 .
[280] Sylvia Richardson,et al. Markov Chain Monte Carlo in Practice , 1997 .
[281] C. Reinsch. Smoothing by spline functions , 1967 .
[282] F. N. David,et al. Principles and procedures of statistics. , 1961 .
[283] D. G. Watts,et al. Calculation of intrinsic and parameter-effects curvatures for nonlinear regression models , 1983 .
[284] Jeffrey Scott Vitter,et al. An efficient algorithm for sequential random sampling , 1987, TOMS.
[285] I. D. Hill,et al. An Efficient and Portable Pseudo‐Random Number Generator , 1982 .
[286] David R. Cox. The analysis of binary data , 1970 .
[287] G. Stewart. Introduction to matrix computations , 1973 .
[288] M. Pagano,et al. Methods for Exact Goodness-of-Fit Tests , 1992 .
[289] G. Wahba. Smoothing noisy data with spline functions , 1975 .
[290] H. Bohman. Numerical inversions of characteristic functions , 1975 .
[291] George Cybenko,et al. The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations , 1980 .
[292] J. H. Wilkinson,et al. AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX , 1979 .
[293] A. Mcintosh. Fitting Linear Models: An Application of Conjugate Gradient Algorithms , 1982 .
[294] T. C. Hu,et al. Combinatorial algorithms , 1982 .
[295] Nancy Flournoy,et al. Statistical Multiple Integration , 1991 .
[296] L. Tierney,et al. Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions , 1989 .
[297] John Monahan,et al. Stochastic Integration Rules for Infinite Regions , 1998, SIAM J. Sci. Comput..
[298] A. M. Gross. A Monte Carlo Swindle for Estimators of Location , 1973 .
[299] J. Goodnight. A Tutorial on the SWEEP Operator , 1979 .
[300] Bradley P. Carlin,et al. Markov Chain Monte Carlo conver-gence diagnostics: a comparative review , 1996 .
[301] Donald B. Rubin,et al. More on Computational Accuracy in Regression: Comment , 1977 .
[302] A. Stroud,et al. Gaussian quadrature formulas , 1966 .