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- W1990658291 abstract "Let $X_1 , cdots ,X_n $ be independent identically distributed random variables having unknown density $f(x)$ in $L_2 (nu)$. The problem consists in testing the hypothesis $f(x) = p(x)$ against the alternative that $f(x)$ belongs to an ellipsoid in $L_2 (nu)$ from which a sphere with center at the point $p(x)$ is removed. To solve the problem we construct an asymptotically minimax sequence of tests. As an example the case where the ellipsoid is a sphere in a Sobolev space is considered." @default.
- W1990658291 created "2016-06-24" @default.
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- W1990658291 date "1995-01-01" @default.
- W1990658291 modified "2023-10-16" @default.
- W1990658291 title "Minimax Nonparametric Testing of Hypotheses on the Distribution Density" @default.
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- W1990658291 doi "https://doi.org/10.1137/1139028" @default.
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