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Can I read The Neyman-Pearson lemma for convex expectations on EtoBox?
The Neyman-Pearson lemma for convex expectations by Sun, Chuanfeng; Ji, Shaolin is a scholarly article available to read on EtoBox.
What is The Neyman-Pearson lemma for convex expectations about?
We study the Neyman-Pearson problem for convex expectations on L^{\infty}(\mu). The existence of the optimal test is given. Without assuming that the level sets of penalty functions are weakly compact, we prove that the optimal tests for convex expectations on L^{\infty}(\mu) are just the classical Neyman-Pearson tests between a fixed representative pair of simple hypotheses. Then we show that the Neyman-Pearson problem for convex expectations on L^{1}(\mu) can be solved similarly.
- Author
- Sun, Chuanfeng; Ji, Shaolin
- Published
- 2019
- Language
- EN