Results 1 to 10 of about 1,120,364 (167)
Stochastic Order and Generalized Weighted Mean Invariance [PDF]
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
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Second-order stochastic comparisons of order statistics [PDF]
Statistics, 2021 We study the problem of comparing ageing patterns of the lifetime of k-out-of-n systems. Mathematically, this reduces to being able to decide about a stochastic ordering relationship between different order statistics. We discuss such relationships with respect to second-order stochastic dominance, obtaining characterizations through the verification ...
Lando, Tommaso +2 more
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On the Probability of Finding Extremes in a Random Set
Mathematics, 2022 We consider a sequence Zjj≥1 of i.i.d. d-dimensional random vectors and for every n≥1 consider the sample Sn={Z1,Z2,…,Zn}. We say that Zj is a “leader” in the sample Sn if Zj≥Zk,∀k∈{1,2,…,n}and Zj is an “anti-leader” if Zj≤Zk,∀k∈{1,2,…,n}. After all, the
Anișoara Maria Răducan +3 more
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Stochastic orders of log-epsilon-skew-normal distributions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research.
Catana Luigi-Ionut
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Residual Probability Function for Dependent Lifetimes
Mathematics, 2021 In this paper, the residual probability function is applied to analyze the survival probability of two used components relative to each other in the case when their lifetimes are dependent. The expression of the function by copulas has been derived along
Mhamed Mesfioui, Mohamed Kayid
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Stochastic Comparisons of Some Distances between Random Variables
Mathematics, 2021 The aim of this paper is twofold. First, we show that the expectation of the absolute value of the difference between two copies, not necessarily independent, of a random variable is a measure of its variability in the sense of Bickel and Lehmann (1979).
Patricia Ortega-Jiménez +2 more
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Stochastic Comparisons of Weighted Distributions and Their Mixtures
Entropy, 2020 In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or ...
Abdulhakim A. Albabtain +3 more
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Mathematics, 2023 In this paper, we identify several relative ordering properties of the modified proportional hazard rate and modified proportional reversed hazard rate models.
Mansour Shrahili +2 more
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Stochastically ordered multiple regression [PDF]
Biostatistics, 2010 In various application areas, prior information is available about the direction of the effects of multiple predictors on the conditional response distribution. For example, in epidemiology studies of potentially adverse exposures and continuous health responses, one can typically assume a priori that increasing the level of an exposure does not lead ...
Bornkamp, Björn +2 more
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Mathematics, 2020 This paper deals with stochastic comparisons of two parallel (series) systems with Type II half logistic-resilience scale (TIIHL-RS) distribution components with different baseline distribution functions.
Junrui Wang, Rongfang Yan, Bin Lu
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