Empirical Bayes and Likelihood Inference (eBook, PDF)

Redaktion: Ahmed, S. E.; Reid, N.

• Format: PDF

Produktbeschreibung

In this volume researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 235
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461301417
• Artikelnr.: 43993308

Inhaltsangabe

1 Bayes/EB Ranking, Histogram and Parameter Estimation: Issues and Research Agenda.- 1 Introduction.- 2 Model and Inferential Goals.- 3 Triple-Goal Estimates.- 4 Triple Goal Evaluations.- 5 Correlated ?'s and Unequal lk.- 6 Research Agenda.- 7 References.- 2 Empirical Bayes Estimators and EM Algorithms in One-Way Analysis of Variance Situations.- 1 The Model.- 2 Some Analysis Derived From the Hierarchical Model.- 3 Large Sample Properties of the Estimates: The Collapsing Effect.- 5 The EM Algorithm in the One-Way Situation: Case ?y2 Unknown.- 6 References.- 3 EB and EBLUP in Small Area Estimation.- 1 Introduction.- 2 Type 1 Model.- 3 Type 2 Model.- 4 References.- 4 Semiparametric Empirical Bayes Estimation in Linear Models.- 1 Introduction.- 2 Preliminary Notions.- 3 Empirical Bayes Interpretations.- 4 BAN Estimators: Empirical Bayes Versions.- 5 Semiparametric Empirical Bayes Estimators.- 6 Some Concluding Remarks.- 7 References.- 5 Empirical Bayes Procedures for a Change Point Problem with Application to HIV/AIDS Data.- 1 Introduction.- 2 Gaussian Models.- 3 Estimation of Parameters.- 4 Application to the SFMHS Cohort.- 5 Discussion.- 6 References.- 6 Bayes and Empirical Bayes Estimates of Survival and Hazard Functions of a Class of Distributions.- 1 Introduction.- 2 Estimation Strategies.- 3 Numerical Results.- 4 References.- 7 Bayes and Empirical Bayes Procedures for Selecting Good Populations From a Translated Exponential Family.- 1 Introduction.- 2 Bayes and Empirical Bayes Approach.- 3 Development of Empirical Bayes Procedures.- 4 Asymptotic Optimality of the EB Procedures and Rates of Convergence.- 5 Concluding Remarks and Extension of the Results.- 6 References.- 8 Shrinkage Estimation of Regression Coefficients From Censored Data With MultipleObservations.- 1 Preliminaries and Introduction.- 2 Preliminary Test Estimation.- 3 Shrinkage Estimation.- 4 Positive-Part Shrinkage Estimation.- 5 Recommendations and Concluding Remarks.- 6 Appendix.- 7 References.- 9 Bayesian and Likelihood Inference for the Generalized Fieller-Creasy Problem.- 1 Introduction.- 2 Likelihood Based Analysis.- 3 Noninformative Priors.- 4 Propriety of Posteriors.- 5 Simulation Study and Discussion.- 6 Appendix.- 7 References.- 10 The Estimation of Ratios From Paired Data.- 1 Introduction.- 2 The Standard Analysis; Assumption (a).- 3 An Approximate Conditional Location-Scale Model; Assumption (b).- 4 A Full Location-Scale Model; Assumption (c).- 5 Examples.- 6 The Linear Functional Relationship.- 7 Discussion.- 8 References.- 11 Meta-Analysis: Conceptual Issues of Addressing Apparent Failure of Individual Study Replication or "Inexplicable" Heterogeneity.- 1 Introduction.- 2 MA and RCT Background.- 3 History Overview.- 4 Current Likelihood Based Methods for MA.- 5 Examples of EB, CL and HB Approaches.- 6 Future Directions.- 7 Initial Conclusions.- 8 A Bayesian Afterthought.- 9 Final Conclusions.- 10 Re-Analysis of Examples.- 11 What is a MA and When Should It Be Done.- 12 References.- 12 Ancillary Information for Statistical Inference.- 1 Introduction.- 2 Third Order Statistical Inference.- 3 First Derivative Ancillary.- 4 Bending and Tilting.- 5 Second Order Coordinates for a Data Component.- 6 Second Order Ancillary Directions.- 7 First Order Ancillary Directions.- 8 Examples.- 9 References.- 13 The Relevance Weighted Likelihood With Applications.- 1 Introduction.- 2 The Relevance Weighted Likelihood.- 3 Applying the NP-REWL.- 4 Applying the P-REWL.- 5 Discussion.- 6 Appendix: Proofs of the Theorems.- 7 References.