# Article

 Title: Some rank tests of independence and the question of their power-function (English) Author: Krišťák, Milan Language: English Journal: Aplikace matematiky ISSN: 0373-6725 Volume: 16 Issue: 6 Year: 1971 Pages: 412-420 Summary lang: Czech Summary lang: Slovak . Category: math . Summary: The paper deals with the problem of testing independence of a pair of random variables $X=W+\Delta ,\ Y=W^*+\Delta Z$ by locally most powerful rank tests in a neighborhood of the point $\Delta =0$. The corresponding tests for double-exponentially and for normally distributed random variables $W$ and $W^*$ are introduced. The power-functions of the $U$-test in a neighborhood of the points $\Delta =\rho =0$ for both cases are given numerically. () MSC: 62G10 MSC: 62G30 idZBL: Zbl 0246.62060 idMR: MR0293796 DOI: 10.21136/AM.1971.103376 . Date available: 2008-05-20T17:52:01Z Last updated: 2020-07-28 Stable URL: http://hdl.handle.net/10338.dmlcz/103376 . Reference: [1] Elandt, Regina: Exact and Approximate Power of the Non-parametric Test of Tendecy.Ann. Math. Stat. 33, 471-481, 1962. MR 0137239, 10.1214/aoms/1177704574 Reference: [2] J. Hájek Z. Šidák: Theory of Rank Tests.Academia Praha 1967. MR 0229351 Reference: [3] I. P. Natanson: Teorija funkcij veščestvennoj peremenoj.Moskva 1957. Reference: [4] : Tables of the Binomial Probability Distribution.Nat. Bur. of Stand. Appl. Math. Ser. 6, 1950. .

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