ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 60, 2 (1991)
pp. 285-297

TWO SAMPLE NONPARAMETRIC PROCEDURES BASED ON SAMPLE COVERAGES FOR UNCENSORED DATA
J. KOMORNIK and S. M. KHATTAR

Abstract. Suppose that $X_1, \dots, X_n$ and $Y_1, \dots, Y_m$ be random samples from cumulative distributions $F(x)$ and $G(y)$ respectively. Let $B_i= (X_i-1, X_i]$ be a random interval constructed from the first sample. Let $\hat U_i$ be the proportion of $Y_i$'s that lies in $B_i$ ($i=1, \dots, n+1$). $\hat U_i$ are called the sample coverages. A class of two-sample tests on $\hat U_i$ is proposed for Interquartile, Chi-square, and Modified Wilcoxon.

AMS subject classification. 62G10, 62G15
Keywords. Scale, Coverage, Interquartile, Chi-square, Modified Wilcoxon

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Acta Mathematica Universitatis Comenianae
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