Results 1 to 10 of about 11,862,847 (308)

Order Statistics and Benford′s Law [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
Fix a baseB> 1 and letζhave the standard exponential distribution; the distribution of digits ofζbaseBis known to be very close to Benford′s law. If there exists aCsuch that the distribution of digits ofCtimes the elements of some set is the same as that ofζ, we say that set exhibits shifted exponential behavior baseB.LetX1, …,XNbe i.i.d.r.v.
Steven J. Miller, Mark J. Nigrini
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Sequential order statistics with an order statistics prior

Journal of Multivariate Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marco Burkschat, Udo Kamps, Maria Kateri
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Conditional ordering of order statistics

Journal of Multivariate Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiwei Zhuang, Junchao Yao, Taizhong Hu
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Spacings around an order statistic [PDF]

Annals of the Institute of Statistical Mathematics, 2014
We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or an extreme order statistic $X_{k:n}$ of a random sample of size $n$ from a continuous distribution $F$. For central and intermediate cases, normalized spacings in the left and right neighborhoods are asymptotically i.i.d.
Nagaraja, H. N., Bharath, Karthik, Zhang, Fangyuan   +2 more
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Logistic Order Statistics

The Annals of Mathematical Statistics, 1963
Expected values and standard deviations of order statistics from a logistic distribution are given for sample sizes $n = 1,2, \cdots, 10$ and $n = 15, 20, 50$, and 100, and summarized in graphs to facilitate interpolation to other sample sizes. For $n \leqq 10$ the results are compared with asymptotic approximations.
Birnbaum, Allan, Dudman, Jack
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Independence of Order Statistics

The Annals of Probability, 1988
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Falk, M., Reiss, R.-D.
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On $q$-Order Statistics

, 2023
Building on the notion of $q$-integral introduced by Thomae in 1869, we introduce $q$-order statistics (that, is $q$-analogues of the classical order statistics, for ...
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On the Completeness of Order Statistics

The Annals of Mathematical Statistics, 1960
Let $X_1, X_2, \cdots, X_n$ be a sample of a one-dimensional random variable $X$; let the order statistic $T(X_1, X_2, \cdots, X_n)$ be defined in such a manner that $T(x_1, x_2, \cdots, x_n) = (x^{(1)}, x^{(2)}, \cdots, x^{(n)})$ where $x^{(1)} \leqq x^{(2)} \leqq \cdots \leqq x^{(n)}$ denote the ordered $x's$; and let $\Omega$ be a class of one ...
Bell, C. B., Blackwell, David, Breiman, Leo   +2 more
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Moments of Order Statistics

The Annals of Statistics, 1973
Let $X_{(i\mid n)}$ be the $i$th smallest order statistic from a population with $\operatorname{pdf} f(x)$ and $\operatorname{cdf} F(x)$. When $\tilde{x}$ is the population median, $n$ is the sample size and $G(x) = F(x)(1 - F(x))$, the following are proved.
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Order Statistics in Artificial Evolution [PDF]

, 2004
This article deals with the exploitation of statistical information from extremes values of an evolutionary algorithm. One can use the fact that upper order statistics of a sample converge to known distributions for improving efficiency of selection and crossover operators.
Puechmorel, Stéphane, Delahaye, Daniel
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