Bayesian forecasting and dynamic models

to the DLM: The First-Order Polynomial Model.- to the DLM: The Dynamic Regression Model.- The Dynamic Linear Model.- Univariate Time Series DLM Theory.- Model Specification and Design.- Polynomial Trend Models.- Seasonal Models.- Regression, Autoregression, and Related Models.- Illustrations and Extensions of Standard DLMs.- Intervention and Monitoring.- Multi-Process Models.- Non-Linear Dynamic Models: Analytic and Numerical Approximations.- Exponential Family Dynamic Models.- Simulation-Based Methods in Dynamic Models.- Multivariate Modelling and Forecasting.- Distribution Theory and Linear Algebra.

[1]  Jonas Schreiber,et al.  The Analysis of Mind , 1935, Nature.

[2]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[3]  H. E. Salzer,et al.  Table of the zeros and weight factors of the first 20 hermite polynomials , 1952 .

[4]  David Lindley,et al.  New Cambridge Elementary Statistical Tables , 1954 .

[5]  J. Aitchison,et al.  The Lognormal Distribution. , 1958 .

[6]  R. Brown.  Statistical forecasting for inventory control , 1960 .

[7]  Peter R. Winters,et al.  Forecasting Sales by Exponentially Weighted Moving Averages , 1960 .

[8]  J. Muth.  Optimal Properties of Exponentially Weighted Forecasts , 1960 .

[9]  K. W. Kemp,et al.  Sampling inspection of continuous processes with no autocorrelation between successive results , 1960 .

[10]  R. H. Woodward,et al.  Cumulative Sum Techniques , 1964 .

[11]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[12]  O. L. Davies,et al.  The Use of Cumulative Sum Cusum Techniques for the Control of Routine Forecasts of Product Demand , 1964 .

[13]  M. Nerlove,et al.  On the Optimality of Adaptive Forecasting , 1964 .

[14]  P. J. Harrison,et al.  Short‐Term Sales Forecasting , 1965 .

[15]  P. Whittle.  Recursive Relations for Predictors of Non‐Stationary Processes , 1965 .

[16]  R. Brown,et al.  Smoothing, Forecasting, and Prediction of Discrete Time Series , 1965 .

[17]  P. J. Harrison.  Exponential Smoothing and Short-Term Sales Forecasting , 1967 .

[18]  G. C. Tiao,et al.  A bayesian approach to some outlier problems. , 1968, Biometrika.

[19]  J. Hartigan.  Linear Bayesian Methods , 1969 .

[20]  G. Zyskind.  Introduction to Matrices with Applications in Statistics , 1970 .

[21]  M. Degroot.  Optimal Statistical Decisions , 1970 .

[22]  A. Jazwinski.  Stochastic Processes and Filtering Theory , 1970 .

[23]  H. Theil.  Principles of econometrics , 1971 .

[24]  C. F. Stevens,et al.  A Bayesian Approach to Short-term Forecasting , 1971 .

[25]  H. Sorenson,et al.  Recursive bayesian estimation using gaussian sums , 1971 .

[26]  A. Zellner.  An Introduction to Bayesian Inference in Econometrics , 1971 .

[27]  W. S. Cleveland.  Estimation of parameters in distributed lag econometric models , 1971 .

[28]  P. J Harrison,et al.  The use of trend curves as an aid to market forecasting , 1972 .

[29]  Edward Leamer.  A Class of Informative Priors and Distributed Lag Analysis , 1972 .

[30]  D. Lindley,et al.  Bayes Estimates for the Linear Model , 1972 .

[31]  Abderrahmane Haddad,et al.  Estimation theory with applications to communications and control , 1972 .

[32]  M. Otto,et al.  Outliers in Time Series , 1972 .

[33]  H. Sorenson,et al.  Nonlinear Bayesian estimation using Gaussian sum approximations , 1972 .

[34]  J. Dickinson.  Some Statistical Results in the Combination of Forecasts , 1973 .

[35]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1973 .

[36]  P. J. Harrison,et al.  Fashion Forecasting for a Mail Order Company Using a Bayesian Approach , 1973 .

[37]  C. F. Stevens.  On the Variability of Demand for Families of Items , 1974 .

[38]  E. McKenzie,et al.  A Comparison of Standard Forecasting Systems with the Box‐Jenkins Approach , 1974 .

[39]  J. Durbin,et al.  Techniques for Testing the Constancy of Regression Relationships Over Time , 1975 .

[40]  D. W. Bunn,et al.  A Bayesian Approach to the Linear Combination of Forecasts , 1975 .

[41]  C. Masreliez.  Approximate non-Gaussian filtering with linear state and observation relations , 1975 .

[42]  A. F. Smith.  A Bayesian approach to inference about a change-point in a sequence of random variables , 1975 .

[43]  E. J. Godolphin,et al.  Equivalence Theorems for Polynomial‐Projecting Predictors , 1975 .

[44]  Ed McKenzie.  An Analysis of General Exponential Smoothing , 1976, Oper. Res..

[45]  Chris Chatfield,et al.  Introduction to Statistical Time Series. , 1976 .

[46]  M. Goldstein.  Bayesian analysis of regression problems , 1976 .

[47]  A. Young.  A Bayesian approach to prediction using polynomials , 1977 .

[48]  J. J. van Duijn,et al.  The long wave in economic life , 1982 .

[49]  R. Martin,et al.  Robust bayesian estimation for the linear model and robustifying the Kalman filter , 1977 .

[50]  I. Johnstone,et al.  On Asymptotic Posterior Normality for Stochastic Processes , 1979 .

[51]  C. Ansley.  An algorithm for the exact likelihood of a mixed autoregressive-moving average process , 1979 .

[52]  A. Tversky,et al.  On the Reconciliation of Probability Assessments , 1979 .

[53]  Jim Q. Smith.  A Generalization of the Bayesian Steady Forecasting Model , 1979 .

[54]  J. Atchison,et al.  Logistic-normal distributions:Some properties and uses , 1980 .

[55]  Howell Tong,et al.  Threshold autoregression, limit cycles and cyclical data- with discussion , 1980 .

[56]  J. Q. Smith,et al.  Discontinuity, decision and conflict , 1980 .

[57]  Optimal estimates of predictive distributions , 1980 .

[58]  A. F. Smith,et al.  Straight Lines with a Change‐Point: A Bayesian Analysis of Some Renal Transplant Data , 1980 .

[59]  Adrian F. M. Smith.  Change-Point problems: approaches and applications , 1980 .

[60]  P. J. Harrison,et al.  An Application of Forecasting in the Alcoholic Drinks Industry , 1980 .

[61]  R. L. Winkler.  Combining Probability Distributions from Dependent Information Sources , 1981 .

[62]  A. Dawid.  Some matrix-variate distribution theory: Notational considerations and a Bayesian application , 1981 .

[63]  J. Aitchison,et al.  Statistical Prediction Analysis , 1975 .

[64]  M. West.  Robust Sequential Approximate Bayesian Estimation , 1981 .

[65]  R. Bordley.  The Combination of Forecasts: a Bayesian Approach , 1982 .

[66]  M. West.  Aspects of recursive Bayesian estimation , 1982 .

[67]  J. Naylor,et al.  Applications of a Method for the Efficient Computation of Posterior Distributions , 1982 .

[68]  S. Shen,et al.  The statistical analysis of compositional data , 1983 .

[69]  Peter A. Morris,et al.  An Axiomatic Approach to Expert Resolution , 1983 .

[70]  A. Smith,et al.  Detection of renal allograft rejection by computer. , 1983, British medical journal.

[71]  A F Smith,et al.  Monitoring renal transplants: an application of the multiprocess Kalman filter. , 1983, Biometrics.

[72]  A. S. Young,et al.  A comparative analysis of prior families for distributed lags , 1983 .

[73]  Johannes Ledolter,et al.  Statistical methods for forecasting , 1983 .

[74]  Adrian F. M. Smith,et al.  Monitoring Kidney Transplant Patients , 1983 .

[75]  Hung Man Tong,et al.  Threshold models in non-linear time series analysis. Lecture notes in statistics, No.21 , 1983 .

[76]  C. Morris.  Natural Exponential Families with Quadratic Variance Functions: Statistical Theory , 1983 .

[77]  Dennis V. Lindley,et al.  Reconciliation of Probability Distributions , 1983, Oper. Res..

[78]  P. J. Harrison,et al.  Discount weighted estimation , 1984 .

[79]  S. J. Press,et al.  Applied multivariate analysis : using Bayesian and frequentist methods of inference , 1984 .

[80]  Robert B. Litterman.  Forecasting with Bayesian Vector Autoregressions-Five Years of Experience , 1984 .

[81]  Discount Bayesian models and forecasting , 1984 .

[82]  M. West.  Outlier Models and Prior Distributions in Bayesian Linear Regression , 1984 .

[83]  Robert B. Litterman,et al.  Specifying vector autoregressions for macroeconomic forecasting , 1984 .

[84]  C. Granger,et al.  Improved methods of combining forecasts , 1984 .

[85]  Helio dos Santos Migon.  An approach to non-linear Bayesian forecasting problems with applications , 1984 .

[86]  S. A. Roberts,et al.  Parsimonious modelling and forecasting of seasonal time series , 1984 .

[87]  Andrew Harvey,et al.  A unified view of statistical forecasting procedures , 1984 .

[88]  Peter C. Young,et al.  Recursive Estimation and Time Series Analysis , 1984 .

[89]  G. Kitagawa,et al.  A smoothness priors time-varying AR coefficient modeling of nonstationary covariance time series , 1985, IEEE Transactions on Automatic Control.

[90]  A.F.M. Smith,et al.  A bayesian analysis of some threshold switching models , 1985 .

[91]  J. E. H. Shaw,et al.  The implementation of the bayesian paradigm , 1985 .

[92]  M. West,et al.  Dynamic Generalized Linear Models and Bayesian Forecasting: Rejoinder , 1985 .

[93]  A. Harvey.  Analysis and generalisation of a multivariate exponential smoothing model , 1986 .

[94]  F. R. Johnston,et al.  Modelling and the estimation of changing relationships , 1986 .

[95]  M. West.  Bayesian Model Monitoring , 1986 .

[96]  Michael A. West,et al.  Monitoring and Adaptation in Bayesian Forecasting Models , 1986 .

[97]  A. C. Harvey,et al.  The Effects of Seat Belt Legislation on British Road Casualties: A Case Study in Structural Time Series Modelling , 1986 .

[98]  C. Granger,et al.  Forecasting Economic Time Series. , 1988 .

[99]  Trevor J. Sweeting,et al.  Asymptotic Posterior Normality for Stochastic Processes Revisited , 1987 .

[100]  Julia Mortera,et al.  Bayesian Models and Methods for Binary Time Series , 1987 .

[101]  Jeff Harrison,et al.  Practical Bayesian forecasting , 1987 .

[102]  D. Gamerman.  Dynamic Inference on Survival Functions , 1987 .

[103]  A. Mcintyre,et al.  Paleoenvironmental Results from North Atlantic Sites 607 and 609 , 1987 .

[104]  A. F. M. Smith,et al.  Progress with numerical and graphical methods for practical Bayesian statistics , 1987 .

[105]  M. West,et al.  An application of dynamic survival models in unemployment studies , 1987 .

[106]  Dani Gamerman,et al.  Dynamic analysis of survival models and related processes , 1987 .

[107]  G. Kitagawa.  Non-Gaussian State—Space Modeling of Nonstationary Time Series , 1987 .

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

[109]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[110]  José Mario Quintana,et al.  Multivariate Bayesian forecasting models , 1987 .

[111]  Econometrics and Structural Change. , 1988 .

[112]  J. Berger.  Statistical Decision Theory and Bayesian Analysis , 1988 .

[113]  M. Hall,et al.  Stable isotope history of the Pleistocene at ODP Site 677 , 1989 .

[114]  Frances M. Dyro,et al.  The EEG handbook , 1989 .

[115]  J. Geweke,et al.  BAYESIAN INFERENCE IN ECONOMETRIC MODELS USING , 1989 .

[116]  A. Zellner,et al.  Forecasting international growth rates using Bayesian shrinkage and other procedures , 1989 .

[117]  Jeff Harrison,et al.  Subjective intervention in formal models , 1989 .

[118]  Michael A. West,et al.  Efficient bayesian learning in non‐linear dynamic models , 1990 .

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

[120]  Mike Baxter,et al.  Generalised linear models (2nd edition) , by P. McCullagh and J. A. Nelder. Pp 511. £30. 1989. ISBN 0-412-31760-5 (Chapman and Hall) , 1990, The Mathematical Gazette.

[121]  A. Zellner,et al.  Forecasting turning points in international output growth rates using Bayesian exponentially weighted autoregression, time-varying parameter, and pooling techniques , 1991 .

[122]  Jimmie Gilbert,et al.  Linear Algebra and Matrix Theory , 1991 .

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

[124]  M. West,et al.  Dynamic linear model diagnostics , 1991 .