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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

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