Results 11 to 20 of about 1,063,535 (299)
On stochastic orders and total positivity [PDF]
ESAIM: Probability and Statistics, 2023 The usual stochastic order and the likelihood ratio order between probability distributions on the real line are reviewed in full generality. In addition, for the distribution of a random pair (X, Y), it is shown that the conditional distributions of Y, given X = x, are increasing in x with respect to the likelihood ratio order if and only if the joint
Lutz Dümbgen, Alexandre Mösching
openaire +5 more sources
An Expository Note on Unit - Gompertz Distribution with Applications
Statistica, 2021 In a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena.
Mohammed Zafar Anis, Debsurya De
doaj +1 more source
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
openaire +3 more sources
Reliability Analysis of the Proportional Mean Departure Time Model
Journal of Mathematics, 2022 In this article, the mean lifetime of an individual whose lives lost based on a function of the time before which the individual has passed away is considered.
Mansour Shrahili, Mohamed Kayid
doaj +1 more source
On stochastic orders defined by other stochastic orders and transformations of probabilities
Mathematical Inequalities & Applications, 2022 This research is supported by the Spanish Ministry of Science and Innovation (Grants MTM2015-63971-P, MTM2017-83506-C2-2-P and MTM-PID2019-104486GB-I00) and Principado de Asturias (Grants FC-GRUPIN-IDI/2018/000132 and FC-GRUPIN-IDI/2018/000193). *Corresponding author.
López Díaz, María Concepción +2 more
openaire +3 more sources
Properties of Discrete Reversed Aging Intensity Function [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we discuss the properties of reversed aging intensity (RAI) function for discrete random variable and study its nature for some distributions. Further, using this function we characterize some discrete related distributions.
Faranak Goodarzi
doaj +1 more source
RELATIONS BETWEEN STOCHASTIC ORDERINGS AND GENERALIZED STOCHASTIC PRECEDENCE [PDF]
Probability in the Engineering and Informational Sciences, 2015 The concept of stochastic precedence between two real-valued random variables has often emerged in different applied frameworks. In this paper, we analyze several aspects of a more general, and completely natural, concept of stochastic precedence that also had appeared in the literature.
DE SANTIS, Emilio +2 more
openaire +3 more sources
Relative stochastic comparisons of additive frailty models
Journal of Inequalities and Applications, 2016 This article is devoted to the proposal of two relative stochastic orders namely the relative hazard rate and relative mean residual life orders. These stochastic orders are applied to provide some stochastic comparisons between two additive frailty ...
Mohamed Kayid +2 more
doaj +1 more source
Stein's Method and Stochastic Orderings [PDF]
Advances in Applied Probability, 2012 A stochastic ordering approach is applied with Stein's method for approximation by the equilibrium distribution of a birth-death process. The usual stochastic order and the more generals-convex orders are discussed. Attention is focused on Poisson and translated Poisson approximations of a sum of dependent Bernoulli random variables, for example,k-runs
Daly, FA, Lefèvre, C, Utev, S
openaire +5 more sources
Ordering Residual Lives Using the Moment Generating Transform [PDF]
The Egyptian Statistical Journal, 2003 This paper presents new notions of stochastic comparisons and ageing classes based on the moment generating function order. The relationships to other stochastic orders and ageing classes are given.
S. El-Arishy
doaj +1 more source