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Bayesian Theory and Methods with Applications

  • Textbook
  • © 2011

Overview

Authors:
  1. Vladimir Savchuk

    1. National Metallurgical Academy Of Ukrain, Dnipropetrovsk, Ukraine

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    You can also search for this author in PubMed   Google Scholar

  2. Chris P. Tsokos

    1. , Department of Mathematics and Statistics, University of South Florida, Tampa, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • A rigorous analytical development of Bayesian methodology
  • A procedural approach to using Bayesian theory to characterize real world problems
  • The usefulness and relevance of Bayesian method is illustrated by analyzing various real world problems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Probability and Statistics (ATLANTISSPS, volume 1)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. General Questions of Bayes Theory

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 1-15

  3. The Accepted Bayes Method of Estimation

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 17-46

  4. The Methods of Parametric Bayes Estimation Based on Censored Samples

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 47-77

  5. Nonparametric Bayes Estimation

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 79-121

  6. Quasi-Parametric Bayes Estimates of the TTF Probability

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 123-162

  7. Estimates of the TTF Probability under the Conditions of a Partial Prior Uncertainty

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 163-191

  8. Empirical Bayes Estimates of Reliability

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 193-218

  9. Theoretical Model for Engineering Reliability

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 219-246

  10. Statistical Reliability Analysis Prior Bayes Estimates

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 247-276

  11. Statistical Reliability Analysis Posterior Bayes Estimates

    • Vladimir Savchuk, Chris P. Tsokos
    Pages 277-306

  12. Back Matter

    Pages 307-317
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Keywords

About this book

Bayesian methods are growing more and more popular, finding new practical applications in the fields of health sciences, engineering, environmental sciences, business and economics and social sciences, among others. This book explores the use of Bayesian analysis in the statistical estimation of the unknown phenomenon of interest. The contents demonstrate that where such methods are applicable, they offer the best possible estimate of the unknown. Beyond presenting Bayesian theory and methods of analysis, the text is illustrated with a variety of applications to real world problems.

Authors and Affiliations

  • National Metallurgical Academy Of Ukrain, Dnipropetrovsk, Ukraine

    Vladimir Savchuk

  • , Department of Mathematics and Statistics, University of South Florida, Tampa, USA

    Chris P. Tsokos

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