Results 1 to 10 of about 1,200,911 (136)

Limit properties for ratios of order statistics from exponentials. [PDF]

J Inequal Appl, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Zhang Y, Ding X.
europepmc   +2 more sources

Some limit theorems for ratios of order statistics from uniform random variables. [PDF]

J Inequal Appl, 2017
In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of ...
Xu SF, Miao Y.
europepmc   +2 more sources

Order Statistics of Inverse Pareto Distribution

Computational Journal of Mathematical and Statistical Sciences, 2022
In this paper we study the distribution of order statistics of the inverse Pareto distribution. We consider the single and product moment of order statistics from inverse Pareto distribution. Also, we establish some recurrence relation for single moments
Ghulam Mustafa, Muhammad Ijaz, Farrukh Jamal   +2 more
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Excess Lifetime Extropy of Order Statistics

Axioms, 2023
This paper explores the concept of residual extropy as an uncertainty measure for order statistics. We specifically derive the residual extropy for the ith-order statistic and establish its relationship with the residual extropy of the ith-order ...
Mansour Shrahili, Mohamed Kayid
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On the Increasing Convex Order of Relative Spacings of Order Statistics

Mathematics, 2021
Relative spacings are relative differences between order statistics. In this context, we extend previous results concerning the increasing convex order of relative spacings of two distributions from the case of consecutive spacings to general spacings ...
Antonia Castaño-Martínez, Gema Pigueiras, Miguel A. Sordo   +2 more
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A Measure of Inaccuracy in Order Statistics [PDF]

Journal of Statistical Theory and Applications (JSTA), 2013
In this article, we consider a measure of inaccuracy between distributions of the i-th order statistics and parent random variable. It is shown that the inaccuracy measure characterizes the distribution function of parent random variable uniquely.
Richa Thapliyal, H.C. Taneja
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Characterizations of probability distributions via bivariate regression of generalized order statistics [PDF]

Journal of Statistical Theory and Applications (JSTA), 2013
Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ?
M.S. Kotb, M. Ahsanullah
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Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors

Dependence Modeling, 2021
In this paper, we investigate sufficient conditions for preservation property of the dispersive order for the smallest and largest order statistics of homogeneous dependent random vectors.
Mesfioui Mhamed, Trufin Julien
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Limit Theory for Joint Generalized Order Statistics

Revstat Statistical Journal, 2014
In Kamps [7] generalized order statistics (gos) have been introduced as a unifying theme for several models of ascendingly ordered random variables (rv’s).
H.M. Barakat , E.M. Nigm , M.A. Abd Elgawad   +2 more
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The Exact Joint Distribution of Concomitants of Order Statistics and Their Order Statistics under Normality

Revstat Statistical Journal, 2013
In this work we derive the exact joint distribution of a linear combination of concomitants of order statistics and linear combinations of their order statistics in a multivariate normal distribution.
Ayyub Sheikhi , Mahbanoo Tata
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