منابع مشابه
Distribution Free Confidence Intervals for Quantiles Based on Extreme Order Statistics in a Multi-Sampling Plan
Extended Abstract. Let Xi1 ,..., Xini ,i=1,2,3,....,k be independent random samples from distribution $F^{alpha_i}$، i=1,...,k, where F is an absolutely continuous distribution function and $alpha_i>0$ Also, suppose that these samples are independent. Let Mi,ni and M'i,ni respectively, denote the maximum and minimum of the ith sa...
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Let Mi and Mi be the maximum and minimum of the ith sample from k independent sample with different sample sizes, respectively. Suppose that the survival distribution function of the ith sample is F ̄i = F ̄αi, where αi is known and positive constant. It is shown that how various exact non-parametric inferential proce- ′ dures can be developed on the basis of Mi’s and Mi ’s for distribution ...
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For a bivariate random vector (X, Y ), symmetry conditions are presented that yield stochastic orderings among |X|, |Y |, |max(X, Y )|, and |min(X, Y )|. Partial extensions of these results for multivariate random vectors (X1, ..., Xn) are also given.
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Classical "slip and fall" analysis was reformulated in this paper to account for the stochastic nature of friction. As it turned out, the new theory, arising from this analysis, was a precise statement of the distribution function for the smallest value among n independent observations. This made it possible to invoke an important result from the asymptotic theory of extreme order statistics th...
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Independent random variables $Y_{1},ldots ,Y_{n}$ belongs to the proportional reversed hazard rate (PRHR) model with proportionality parameters $lambda_1,...,lambda_n$, if $Y_{k}sim G^{lambda _{k}}(x)$, for $k=1,...,n$, where $G$ is an absolutely continuous distribution function. In this paper we compare the smallest order statistics, the sample ranges and th...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1964
ISSN: 0003-4851
DOI: 10.1214/aoms/1177700395