Measuring statistical evidence using relative belief / Michael Evans.
Material type: TextSeries: Monographs on statistics and applied probability ; 144Publication details: Boca Raton : CRC Press, ©2015.Description: xvii, 232 p. : illustrations ; 25 cmISBN:- 9781482242799 (alk. paper)
- 000SA.1 23 Ev92
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000SA.1 C337 Statistical inference / | 000SA.1 D229 Treatise on statistical inference and distributions / | 000SA.1 D229 Treatise on statistical inference and distributions / | 000SA.1 Ev92 No title | 000SA.1 G427 Robust minimum divergence inference using density power divergence and its extensions : | 000SA.1 H474 Applied statistical inference : | 000SA.1 In61 Perspectives in statistical sciences |
Includes bibliographical references and index.
1. Statistical problems --
2. Probability --
3. Characterizing statistical evidence --
4. Measuring statistical evidence using relative belief --
5. Choosing and checking the model and prior --
6. Conclusions.
The book attempts to establish a gold standard for how a statistical analysis should proceed. It first introduces basic features of the overall approach, such as the roles of subjectivity, objectivity, infinity, and utility in statistical analyses. It next discusses the meaning of probability and the various positions taken on probability. The author then focuses on the definition of statistical evidence and how it should be measured. He presents a method for measuring statistical evidence and develops a theory of inference based on this method. He also discusses how statisticians should choose the ingredients for a statistical problem and how these choices are to be checked for their relevance in an application.
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