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- W2514569719 abstract "This chapter considers the problem of hypothesis testing. Starting from first principles, it develops the Neyman-Pearson framework, and discusses different forms of hypothesis pairs. It then uses the question of optimality of tests as a means for motivating specific test functions. This is done in a general setup for simple-vs-simple hypotheses, and in an exponential family context for one-sided alternatives. The likelihood ratio method and Wald’s method are then introduced, to address the more general case of two-sided alternatives. Asymptotic approximations are then used in order to determine approximate critical values in the context of exponential families. The chapter concludes with the introduction of p-values, their basic properties, and their relation to the Neyman-Pearson paradigm." @default.
- W2514569719 created "2016-09-16" @default.
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- W2514569719 date "2016-01-01" @default.
- W2514569719 modified "2023-09-23" @default.
- W2514569719 title "Tests of Hypotheses for Model Parameters" @default.
- W2514569719 doi "https://doi.org/10.1007/978-3-319-28341-8_4" @default.
- W2514569719 hasPublicationYear "2016" @default.
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