Simple random walk and rank order statistics

Igor Očka

The intersections of random finite sets

Jan Hurt, Josef Machek, Josef Štěpán, Dana Vorlíčková (1982)

Mathematica Slovaca

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Asymptotic normality of multivariate linear rank statistics under general alternatives

James A. Koziol (1979)

Aplikace matematiky

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Let $X_{j}, 1 \leq j \leq N$ , be independent random $p$ -vectors with respective continuous cumulative distribution functions $F_{j} 1 \leq j \leq N$ . Define the $p$ -vectors $R_{j}$ by setting $R_{i j}$ equal to the rank of $X_{i j}$ among $X_{i j}, ..., X_{i N}, 1 \leq i \leq p, 1 \leq j \leq N$ . Let $a^{(N)} (.)$ denote a multivariate score function in $R_{p}$ , and put $S = \sum_{j = 1}^{N} c_{j} a^{(N)} (R_{j})$ , the $c_{j}$ being arbitrary regression constants. In this paper the asymptotic distribution of $S$ is investigated under various sets of conditions on the constants, the score functions, and the underlying distribution functions. In particular, asymptotic normality...

An occupancy problem with group drawings of different sizes

Saleh M. Mitwalli (2002)

Mathematica Slovaca

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Displaying similar documents to “Simple random walk and rank order statistics”

The intersections of random finite sets

Asymptotic normality of multivariate linear rank statistics under general alternatives

An occupancy problem with group drawings of different sizes