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Confidence, Likelihood, Probability : Statistical Inference with Confidence Distributions
Bok av Tore Schweder
This lively book lays out a methodology of confidence distributions and puts them through their paces. Among other merits, they lead to optimal combinations of confidence from different sources of information, and they can make complex models amenable to objective and indeed prior-free analysis for less subjectively inclined statisticians. The generous mixture of theory, illustrations, applications and exercises is suitable for statisticians at all levels of experience, as well as for data-oriented scientists. Some confidence distributions are less dispersed than their competitors. This concept leads to a theory of risk functions and comparisons for distributions of confidence. Neyman-Pearson type theorems leading to optimal confidence are developed and richly illustrated. Exact and optimal confidence distribution is the gold standard for inferred epistemic distributions. Confidence distributions and likelihood functions are intertwined, allowing prior distributions to be made part of the likelihood. Meta-analysis in likelihood terms is developed and taken beyond traditional methods, suiting it in particular to combining information across diverse data sources.
9780521861601
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Confidence, Likelihood, Probability : Statistical Inference with Confide...Engelska - Inbunden
ISBN: 9780521861601
ISBN: 9780521861601
Confidence, Likelihood, Probability : Statistical Inference with Confide...Engelska - Okänt
ISBN: 9781316446775
ISBN: 9781316446775
Confidence, Likelihood, Probability : Statistical Inference with Confide...
ISBN: 9781316443323
ISBN: 9781316443323
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Cambridge Series in Statistical and Probabilistic Mathematics
713 kr
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