TWO SAMPLE NONPARAMETRIC PROCEDURES BASED ON SAMPLE COVERAGES FOR UNCENSORED DATA
Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2
J. Komornik; S. M. Khattar. TWO SAMPLE NONPARAMETRIC PROCEDURES BASED ON SAMPLE COVERAGES FOR UNCENSORED DATA. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a11/
@article{AMUC_1991_60_2_a11,
     author = {J. Komornik and S. M. Khattar},
     title = {TWO {SAMPLE} {NONPARAMETRIC} {PROCEDURES} {BASED} {ON} {SAMPLE} {COVERAGES} {FOR} {UNCENSORED} {DATA}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1991},
     volume = {60},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a11/}
}
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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.