List of Distributions

[1]  D G Clayton,et al.  A Monte Carlo method for Bayesian inference in frailty models. , 1991, Biometrics.

[2]  N. Mantel Evaluation of survival data and two new rank order statistics arising in its consideration. , 1966, Cancer chemotherapy reports.

[3]  Philip Hougaard,et al.  Analysis of Multivariate Survival Data , 2001 .

[4]  D. Cox Regression Models and Life-Tables , 1972 .

[5]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[6]  Hani Doss Bayesian Nonparametric Estimation for Incomplete Data Via Successive Substitution Sampling , 1994 .

[7]  Alan E. Gelfand,et al.  Bayesian statistics without tears: A sampling-resampling perspective , 1992 .

[8]  Joseph G. Ibrahim,et al.  BAYESIAN VARIABLE SELECTION FOR TIME SERIES COUNT DATA , 2000 .

[9]  D. Harrington,et al.  Counting Processes and Survival Analysis , 1991 .

[10]  L S Freedman,et al.  Statistical analysis of animal cancer chemoprevention experiments. , 1993, Biometrics.

[11]  D J Spiegelhalter,et al.  The what, why and how of Bayesian clinical trials monitoring. , 1994, Statistics in medicine.

[12]  J. Fleiss Statistical methods for rates and proportions , 1974 .

[13]  Zhiliang Ying,et al.  Survival analysis with median regression models , 1995 .

[14]  M Zelen,et al.  Estimation of exponential survival probabilities with concomitant information. , 1965, Biometrics.

[15]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[16]  B. Efron The Efficiency of Cox's Likelihood Function for Censored Data , 1977 .

[17]  I. Good Nonparametric roughness penalties for probability densities , 1971 .

[18]  J B Greenhouse,et al.  Assessing Placebo Response Using Bayesian Hierarchical Survival Models , 1998, Lifetime data analysis.

[19]  D. Oakes,et al.  Semiparametric inference in a model for association in bivanate survival data , 1986 .

[20]  Radford M. Neal Probabilistic Inference Using Markov Chain Monte Carlo Methods , 2011 .

[21]  M. Wulfsohn,et al.  Modeling the Relationship of Survival to Longitudinal Data Measured with Error. Applications to Survival and CD4 Counts in Patients with AIDS , 1995 .

[22]  Adrian F. M. Smith,et al.  Bayesian Analysis of Linear and Non‐Linear Population Models by Using the Gibbs Sampler , 1994 .

[23]  E. K. Harris,et al.  Survivorship Analysis for Clinical Studies , 1990 .

[24]  R. Maller,et al.  Survival Analysis with Long-Term Survivors , 1996 .

[25]  J. Laurie,et al.  Biochemical modulation of fluorouracil: evidence of significant improvement of survival and quality of life in patients with advanced colorectal carcinoma. , 1989, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[26]  M A Moussa,et al.  Exact, conditional, and predictive power in planning clinical trials. , 1989, Controlled clinical trials.

[27]  G. Wahba Bayesian "Confidence Intervals" for the Cross-validated Smoothing Spline , 1983 .

[28]  D. Lindley The choice of sample size , 1997 .

[29]  B. Carlin,et al.  On the Convergence of Successive Substitution Sampling , 1992 .

[30]  L. Wasserman,et al.  A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion , 1995 .

[31]  M. Escobar,et al.  Bayesian Density Estimation and Inference Using Mixtures , 1995 .

[32]  R. Tibshirani,et al.  Varying‐Coefficient Models , 1993 .

[33]  Ward Edwards,et al.  Bayesian statistical inference for psychological research. , 1963 .

[34]  David Draper,et al.  Assessment and Propagation of Model Uncertainty , 2011 .

[35]  Hong Chang,et al.  Bayesian Approach for Nonlinear Random Effects Models , 1997 .

[36]  A Marginal Likelihood Approach to Estimation in Frailty Models , 1997 .

[37]  D G Denison,et al.  Bayesian Survival Analysis Using A Mars Model , 1999, Biometrics.

[38]  D. Higdon Auxiliary Variable Methods for Markov Chain Monte Carlo with Applications , 1998 .

[39]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[40]  J. Staniswalis The Kernel Estimate of a Regression Function in Likelihood-Based Models , 1989 .

[41]  C. Mcgilchrist,et al.  ML and REML estimation in survival analysis with time dependent correlated frailty. , 1998, Statistics in medicine.

[42]  Debajyoti Sinha,et al.  Semiparametric Bayesian Analysis of Multiple Event Time Data , 1993 .

[43]  J G Ibrahim,et al.  Using the EM-algorithm for survival data with incomplete categorical covariates , 1996, Lifetime data analysis.

[44]  D. Spiegelhalter,et al.  Monitoring clinical trials: conditional or predictive power? , 1986, Controlled clinical trials.

[45]  R Crouchley,et al.  A comparison of frailty models for multivariate survival data. , 1995, Statistics in medicine.

[46]  J. D. Kalbfleisch,et al.  Conditions for consistent estimation in mixed-effects models for binary matched-pairs data† , 1994 .

[47]  J. Margolick,et al.  Changes in T and non-T lymphocyte subsets following seroconversion to HIV-1: stable CD3+ and declining CD3- populations suggest regulatory responses linked to loss of CD4 lymphocytes. The Multicenter AIDS Cohort Study. , 1993, Journal of acquired immune deficiency syndromes.

[48]  J. Ibrahim,et al.  Likelihood-Based Methods for Missing Covariates in the Cox Proportional Hazards Model , 2001 .

[49]  V. Farewell,et al.  The use of mixture models for the analysis of survival data with long-term survivors. , 1982, Biometrics.

[50]  James C. Hickman,et al.  Bayesian bivariate graduation and forecasting , 2012 .

[51]  Purushottam W. Laud,et al.  A Predictive Approach to the Analysis of Designed Experiments , 1994 .

[52]  D Faraggi,et al.  A neural network model for survival data. , 1995, Statistics in medicine.

[53]  Mkb Parmar,et al.  Bayesian data monitoring in clinical trials , 1997 .

[54]  Lee-Jen Wei,et al.  Regression analysis of panel count data with covariate‐dependent observation and censoring times , 2000 .

[55]  D Sinha,et al.  Bayesian Analysis and Model Selection for Interval‐Censored Survival Data , 1999, Biometrics.

[56]  D. W. Scott,et al.  Nonparametric Probability Density Estimation by Discrete Maximum Penalized- Likelihood Criteria , 1980 .

[57]  D K Stangl,et al.  Prediction and decision making using Bayesian hierarchical models. , 1995, Statistics in medicine.

[58]  S. Duane,et al.  Hybrid Monte Carlo , 1987 .

[59]  John Geweke,et al.  Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments , 1991 .

[60]  R Simon,et al.  Bayesian design and analysis of two x two factorial clinical trials. , 1997, Biometrics.

[61]  P. Hougaard A class of multivanate failure time distributions , 1986 .

[62]  Radford M. Neal An improved acceptance procedure for the hybrid Monte Carlo algorithm , 1992, hep-lat/9208011.

[63]  J. Lawless,et al.  Efficient Screening of Nonnormal Regression Models , 1978 .

[64]  D J Spiegelhalter,et al.  A unified method for monitoring and analysing controlled trials. , 1994, Statistics in medicine.

[65]  Lynn Kuo,et al.  Bayesian semiparametric inference for the accelerated failure‐time model , 1997 .

[66]  W. Gilks,et al.  Adaptive Rejection Sampling for Gibbs Sampling , 1992 .

[67]  R. Prentice,et al.  Further results on covariate measurement errors in cohort studies with time to response data. , 1989, Statistics in medicine.

[68]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[69]  D. Rubin,et al.  Statistical Analysis with Missing Data. , 1989 .

[70]  David Oakes,et al.  Frailty Models For Multiple Event Times , 1992 .

[71]  C W Chen,et al.  A stochastic two-stage carcinogenesis model: a new approach to computing the probability of observing tumor in animal bioassays. , 1991, Mathematical biosciences.

[72]  S. MacEachern,et al.  Bayesian variable selection for proportional hazards models , 1999 .

[73]  D. Spiegelhalter,et al.  The Assessment of the Subjective Opinion and its Use in Relation to Stopping Rules for Clinical Trials , 1983 .

[74]  J G Ibrahim,et al.  A semiparametric Bayesian approach to the random effects model. , 1998, Biometrics.

[75]  D J Spiegelhalter,et al.  Application of Bayesian statistics to decision making during a clinical trial. , 1992, Statistics in medicine.

[76]  W. J. Padgett,et al.  Maximum likelihood estimation of a distribution function with increasing failure rate based on censored observations , 1980 .

[77]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[78]  Adrian F. M. Smith,et al.  A Bayesian CART algorithm , 1998 .

[79]  D. Madigan,et al.  Bayesian Model Averaging for Linear Regression Models , 1997 .

[80]  Ludwig Fahrmeir,et al.  Dynamic modelling and penalized likelihood estimation for discrete time survival data , 1994 .

[81]  Purushottam W. Laud,et al.  A Bayesian Nonparametric Approach to Reliability , 1981 .

[82]  J. Harley,et al.  A step-up procedure for selecting variables associated with survival. , 1975, Biometrics.

[83]  S. Geisser,et al.  A Predictive Approach to Model Selection , 1979 .

[84]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[85]  A. Tsiatis A Large Sample Study of Cox's Regression Model , 1981 .

[86]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[87]  E. Gumbel Bivariate Logistic Distributions , 1961 .

[88]  J G Ibrahim,et al.  Monte Carlo EM for Missing Covariates in Parametric Regression Models , 1999, Biometrics.

[89]  Tom Leonard Density Estimation, Stochastic Processes and Prior Information , 1978 .

[90]  Michael LeBlanc,et al.  Step‐function covariate effects in the proportional‐hazards model , 1995 .

[91]  Prem K. Goel,et al.  Software for Bayesian Analysis: Current Status and Additional Needs , 1987 .

[92]  D. Freedman,et al.  On inconsistent Bayes estimates of location , 1986 .

[93]  D L DeMets,et al.  An aid to data monitoring in long-term clinical trials. , 1982, Controlled clinical trials.

[94]  K. Yamaguchi Accelerated Failure-Time Regression Models with a Regression Model of Surviving Fraction: An Application to the Analysis of “Permanent Employment” in Japan , 1992 .

[95]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[96]  T. Ferguson Prior Distributions on Spaces of Probability Measures , 1974 .

[97]  P. Gustafson A Bayesian analysis of bivariate survival data from a multicentre cancer clinical trial. , 1995, Statistics in medicine.

[98]  D. Oakes,et al.  Bivariate survival models induced by frailties , 1989 .

[99]  Purushottam W. Laud,et al.  Predictive Model Selection , 1995 .

[100]  Christopher Jennison,et al.  Statistical Approaches to Interim Monitoring of Medical Trials: A Review and Commentary , 1990 .

[101]  J. F. Crook,et al.  The Powers and Strengths of Tests for Multinomials and Contingency Tables , 1982 .

[102]  Anastasios A. Tsiatis,et al.  Group sequential methods for survival analysis with staggered entry , 1982 .

[103]  Elisa T. Lee,et al.  Statistical Methods for Survival Data Analysis , 1994, IEEE Transactions on Reliability.

[104]  B. Turnbull,et al.  Group Sequential Methods with Applications to Clinical Trials , 1999 .

[105]  W. Tsai,et al.  On using the Cox proportional hazards model with missing covariates , 1997 .

[106]  M. Wulfsohn,et al.  A joint model for survival and longitudinal data measured with error. , 1997, Biometrics.

[107]  R. O'Neill Algorithm AS 47: Function Minimization Using a Simplex Procedure , 1971 .

[108]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[109]  D. Dey,et al.  Semiparametric Bayesian analysis of survival data , 1997 .

[110]  Lynn Kuo,et al.  Bayesian Computations in Survival Models via the Gibbs Sampler , 1992 .

[111]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[112]  D. Spiegelhalter,et al.  Bayes Factors and Choice Criteria for Linear Models , 1980 .

[113]  D. Rubin INFERENCE AND MISSING DATA , 1975 .

[114]  A. Raftery Approximate Bayes factors and accounting for model uncertainty in generalised linear models , 1996 .

[115]  D. Zucker,et al.  Weighted log rank type statistics for comparing survival curves when there is a time lag in the effectiveness of treatment , 1990 .

[116]  David G. T. Denison,et al.  Bayesian MARS , 1998, Stat. Comput..

[117]  Purushottam W. Laud,et al.  Nonparametric Bayesian bioassay with prior constraints on the shape of the potency curve , 1993 .

[118]  R. Kronmal,et al.  The Cardiovascular Health Study: design and rationale. , 1991, Annals of epidemiology.

[119]  Nozer D. Singpurwalla,et al.  Understanding the Kalman Filter , 1983 .

[120]  J. Cornfield A BAYESIAN TEST OF SOME CLASSICAL HYPOTHESES- WITH APPLICATIONS TO SEQUENTIAL CLINICAL TRIALS , 1966 .

[121]  Rupert G. Miller,et al.  Survival Analysis , 2022, The SAGE Encyclopedia of Research Design.

[122]  S. MacEachern Estimating normal means with a conjugate style dirichlet process prior , 1994 .

[123]  I. Norros,et al.  A compensator representation of multivariate life length distributions, with applications , 1986 .

[124]  J. Vaupel,et al.  The impact of heterogeneity in individual frailty on the dynamics of mortality , 1979, Demography.

[125]  McGilchrist Ca,et al.  Regression with frailty in survival analysis. , 1991 .

[126]  Samuel Karlin,et al.  A First Course on Stochastic Processes , 1968 .

[127]  D. Clayton A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence , 1978 .

[128]  J M Taylor,et al.  Semi-parametric estimation in failure time mixture models. , 1995, Biometrics.

[129]  S. MacEachern,et al.  Estimating mixture of dirichlet process models , 1998 .

[130]  J G Ibrahim,et al.  The Large Sample Distribution of the Weighted Log Rank Statistic Under General Local Alternatives , 1997, Lifetime data analysis.

[131]  J. York,et al.  Bayesian Graphical Models for Discrete Data , 1995 .

[132]  V. DeGruttola,et al.  Models for empirical Bayes estimators of longitudinal CD4 counts. , 1996, Statistics in medicine.

[133]  Radford M. Neal Bayesian Learning via Stochastic Dynamics , 1992, NIPS.

[134]  Debajyoti Sinha,et al.  Time‐discrete beta‐process model for interval‐censored survival data , 1997 .

[135]  Tom Leonard,et al.  A Bayesian method for histograms , 1973 .

[136]  Donald A. Berry,et al.  Group sequential clinical trials: a classical evaluation of Bayesian decision-theoretic designs , 1994 .

[137]  R. Taplin Robust Likelihood Calculation for Time Series , 1993 .

[138]  Joseph G. Ibrahim,et al.  Missing covariates in generalized linear models when the missing data mechanism is non‐ignorable , 1999 .

[139]  A Yu Yakovlev,et al.  Stochastic Models of Tumor Latency and Their Biostatistical Applications , 1996 .

[140]  M. Lavine More Aspects of Polya Tree Distributions for Statistical Modelling , 1992 .

[141]  J Halpern,et al.  Designing clinical trials with arbitrary specification of survival functions and for the log rank or generalized Wilcoxon test. , 1987, Controlled clinical trials.

[142]  J G Ibrahim,et al.  A semi-parametric Bayesian approach to generalized linear mixed models. , 1998, Statistics in medicine.

[143]  Roderick J. A. Little Regression with Missing X's: A Review , 1992 .

[144]  S L George,et al.  Stopping a clinical trial early: frequentist and Bayesian approaches applied to a CALGB trial in non-small-cell lung cancer. , 1994, Statistics in medicine.

[145]  David P. Harrington,et al.  Procedures for Serial Testing in Censored Survival Data , 1984 .

[146]  J. Cornfield Sequential Trials, Sequential Analysis and the Likelihood Principle , 1966 .

[147]  Z. Ying,et al.  Cox Regression with Incomplete Covariate Measurements , 1993 .

[148]  R. Prentice Surrogate endpoints in clinical trials: definition and operational criteria. , 1989, Statistics in medicine.

[149]  R A Kronmal,et al.  Short-term predictors of incident stroke in older adults. The Cardiovascular Health Study. , 1996, Stroke.

[150]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[151]  Geoffrey E. Hinton,et al.  Bayesian Learning for Neural Networks , 1995 .

[152]  T R Fleming,et al.  Approaches to monitoring clinical trials. , 1989, Journal of the National Cancer Institute.

[153]  Seymour Geisser,et al.  8. Predictive Inference: An Introduction , 1995 .

[154]  M. Pepe,et al.  Auxiliary covariate data in failure time regression , 1995 .

[155]  Joseph G. Ibrahim,et al.  Criterion-based methods for Bayesian model assessment , 2001 .

[156]  Thomas A. Louis,et al.  Assessing gamma frailty models for clustered failure time data , 1995, Lifetime data analysis.

[157]  S H Moolgavkar,et al.  Mutation and cancer: a model for human carcinogenesis. , 1981, Journal of the National Cancer Institute.

[158]  P. Gustafson The effect of mixing‐distribution misspecification in conjugate mixture models , 1996 .

[159]  D Sinha,et al.  Posterior likelihood methods for multivariate survival data. , 1998, Biometrics.

[160]  L. Devroye Non-Uniform Random Variate Generation , 1986 .

[161]  S. E. Hills,et al.  Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling , 1990 .

[162]  D. Finkelstein,et al.  A proportional hazards model for interval-censored failure time data. , 1986, Biometrics.

[163]  P. Hougaard,et al.  Frailty models for survival data , 1995, Lifetime data analysis.

[164]  K S Chan,et al.  A dynamic frailty model for multivariate survival data. , 1997, Biometrics.

[165]  Alan E. Gelfand,et al.  Model choice: A minimum posterior predictive loss approach , 1998, AISTATS.

[166]  H. Sather,et al.  A comparison of tests of the difference in the proportion of patients who are cured. , 1992, Biometrics.

[167]  J. Lachin Introduction to sample size determination and power analysis for clinical trials. , 1981, Controlled clinical trials.

[168]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[169]  Zuqiang Qiou Bayesian inference for stable processes , 1996 .

[170]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[171]  McGilchrist Ca REML estimation for survival models with frailty. , 1993 .

[172]  D. Gamerman Dynamic Bayesian Models for Survival Data , 1991 .

[173]  L. L. Cam,et al.  Asymptotic Methods In Statistical Decision Theory , 1986 .

[174]  A. Raftery,et al.  Analysis of Agricultural Field Trials in the Presence of Outliers and Fertility Jumps , 1994 .

[175]  J. Ibrahim,et al.  Power prior distributions for regression models , 2000 .

[176]  T. Louis Finding the Observed Information Matrix When Using the EM Algorithm , 1982 .

[177]  S H Moolgavkar,et al.  A stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor. , 1988, Risk analysis : an official publication of the Society for Risk Analysis.

[178]  P. Gustafson Flexible Bayesian Modelling for Survival Data , 1998, Lifetime data analysis.

[179]  R. Wolfe,et al.  A semiparametric model for regression analysis of interval-censored failure time data. , 1985, Biometrics.

[180]  W. Sudderth,et al.  Polya Trees and Random Distributions , 1992 .

[181]  B. Mallick,et al.  A Bayesian Semiparametric Accelerated Failure Time Model , 1999, Biometrics.

[182]  R. Weiss Bayesian sample size calculations for hypothesis testing , 1997 .

[183]  A. Gelfand,et al.  Nonparametric Bayesian bioassay including ordered polytomous response , 1991 .

[184]  Jun S. Liu,et al.  Monte Carlo strategies in scientific computing , 2001 .

[185]  Donald E. Knuth,et al.  Literate Programming , 1984, Comput. J..

[186]  A. Raftery,et al.  Bayesian Information Criterion for Censored Survival Models , 2000, Biometrics.

[187]  J. Q. Smith,et al.  1. Bayesian Statistics 4 , 1993 .

[188]  James J. Goedert,et al.  Effect of age at seroconversion on the natural AIDS incubation distribution , 1994, AIDS.

[189]  K. Liestøl,et al.  Survival analysis and neural nets. , 1994, Statistics in medicine.

[190]  Jerome H. Friedman Multivariate adaptive regression splines (with discussion) , 1991 .

[191]  D J Spiegelhalter,et al.  Comparison of Bayesian with group sequential methods for monitoring clinical trials. , 1989, Controlled clinical trials.

[192]  Jeremy M. G. Taylor,et al.  A Stochastic Model for Analysis of Longitudinal AIDS Data , 1994 .

[193]  A Kopp-Schneider,et al.  Carcinoma formation in NMRI mouse skin painting studies is a process suggesting greater than two stages. , 1995, Carcinogenesis.

[194]  D J Spiegelhalter,et al.  The CHART trials: Bayesian design and monitoring in practice. CHART Steering Committee. , 1994, Statistics in medicine.

[195]  J. Hammersley,et al.  Monte Carlo Methods , 1965 .

[196]  J. Phair,et al.  The Multicenter AIDS Cohort Study: rationale, organization, and selected characteristics of the participants. , 1987, American journal of epidemiology.

[197]  A. Gelman,et al.  Weak convergence and optimal scaling of random walk Metropolis algorithms , 1997 .

[198]  R. L. Prentice,et al.  Exponential survivals with censoring and explanatory variables , 1973 .