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Order Statistics and Benford's Law [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 Fix a base B>1 and let ζ have the standard exponential distribution; the distribution of digits of ζ base B is known to be very close to Benford's law.
Steven J. Miller, Mark J. Nigrini
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Some New Results Involving Past Tsallis Entropy of Order Statistics [PDF]
Entropy, 2023 This work focuses on exploring the properties of past Tsallis entropy as it applies to order statistics. The relationship between the past Tsallis entropy of an ordered variable in the context of any continuous probability law and the past Tsallis ...
Mansour Shrahili, Mohamed Kayid
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Limit properties for ratios of order statistics from exponentials [PDF]
Journal of Inequalities and Applications, 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
Yong Zhang, Xue Ding
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Bootstrapping m-generalized order statistics with variable rank
AIMS Mathematics, 2022 In this paper, several bootstrap properties of m-generalized order statistics (m-GOSs) with variable rank (central and intermediate) are revealed.
H. M. Barakat +2 more
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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 +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 +2 more
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Total positivity and dependence of order statistics
AIMS Mathematics, 2023 In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion ...
Enrique de Amo +2 more
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On moment convergence for some order statistics
AIMS Mathematics, 2022 By exploring the uniform integrability of a sequence of some order statistics (OSs), we obtain the moment convergence conclusion of the sequence under some weak conditions even when the corresponding population of interest has no moment of any positive ...
Jin-liang Wang +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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