Bayesian statistics

Bayesian Statistics BAYESIAN STATISTICS ∗

Mathematical statistics uses two major paradigms, conventional (or frequentist), and Bayesian. Bayesian methods provide a complete paradigm for both statistical inference and decision making under uncertainty. Bayesian methods may be derived from an axiomatic system, and hence provide a general, coherent methodology. Bayesian methods contain as particular cases many of the more often used frequ...

Bayesian Statistics

Bayesian Statistics

Comparison of Estimates Using Record Statistics from Lomax Model: Bayesian and Non Bayesian Approaches

This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conju...

Bayesian Statistics 9

We thank all of the discussants for their valuable insights and elaborations. In particular, we thank Prof. Clarke and Dr. Severinski for their conjectured extension to Theorem 3, the product of many personal discussions both in Austin and in Spain (and probably many more hours of work in Miami). The conjecture seems quite likely to be true, and strikes us as a nice way of understanding adaptiv...