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Some rank tests of independence and the question of their power-function
Applications of Mathematics, Tome 16 (1971) no. 6, pp. 412-420
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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.
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.
DOI : 10.21136/AM.1971.103376
Classification : 62G10, 62G30 
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     title = {Some rank tests of independence and the question of their power-function},
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Krišťák, Milan. Some rank tests of independence and the question of their power-function. Applications of Mathematics, Tome 16 (1971) no. 6, pp. 412-420. doi: 10.21136/AM.1971.103376

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[2] J. Hájek Z. Šidák: Theory of Rank Tests. Academia Praha 1967. | MR

[3] I. P. Natanson: Teorija funkcij veščestvennoj peremenoj. Moskva 1957.

[4] Tables of the Binomial Probability Distribution. Nat. Bur. of Stand. Appl. Math. Ser. 6, 1950.

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