Author | Tanner, Martin A. author |
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Title | Tools for Statistical Inference [electronic resource] : Observed Data and Data Augmentation Methods / by Martin A. Tanner |
Imprint | New York, NY : Springer New York, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-0510-1 |
Descript | VI, 110p. 39 illus. online resource |
I. Introduction -- A. Problems -- B. Techniques -- References -- II. Observed Data Techniques-Normal Approximation -- A. Likelihood/Posterior Density -- B. Maximum Likelihood -- C. Normal Based Inference -- D. The Delta Method -- E. Significance Levels -- References -- III. Observed Data Techniques -- A. Numerical Integration -- B. Litplace Expansion -- C. Monte Carlo Methods -- IV. The EM Algorithm -- A. Introduction -- B. Theory -- C. EM in the Exponential Family -- D. Standard Errors -- E. Monte Carlo Implementation of the E-Step -- F. Acceleration of EM -- References -- V. Data Augmentation -- A. Introduction -- B. Predictive Distribution -- C. HPD Region Computations -- D. Implementation -- E. Theory -- F. Poor Manโs Data Augmentation -- G. SIR -- H. General Imputation Methods -- I. Data Augmentation via Importance Sampling -- J. Sampling in the Context of Multinomial Data -- VI. The Gibbs Sampler -- A. Introduction -- B. Examples -- C. The Griddy Gibbs Sampler