Bounds of expectations of order statistics for distributions possessing monotone reversed failure rates

Agnieszka Goroncy, Tomasz Rychlik

Type: Article

Publication Date: 2024-05-24

Citations: 1

DOI: https://doi.org/10.1007/s00184-024-00968-y

Abstract

Abstract In the literature, the sharp positive upper mean-variance bounds on the expectations of order statistics based on independent identically distributed random variables with the decreasing and increasing failure rates, have been recently presented. In this paper we determine analogous evaluations in the dual cases when the parent distributions have monotone reversed failure rates.

Locations

Metrika - View - PDF

Similar Works

Action	Title	Year	Authors
+	Ordering and ageing properties of developed sequential order statistics governed by the Archimedean copula	2023	Tanmay Sahoo Nil Kamal Hazra
+	Some New Results on Likelihood Ratio Orderings for Spacings of Heterogeneous Exponential Random Variables	2008	Taizhong Hu Qingshu Lu Songqiao Wen
+	Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications	2020	Lu Li Qinyu Wu Tiantian Mao
+ PDF Chat	Sharp lower bounds on expectations of gOS based on DGFR distributions	2017	Mariusz Bieniek Agnieszka Goroncy
+	On Relative Reversed Hazard Rate Order	2014	Majid Rezaei Behzad Gholizadeh S. Izadkhah
+	A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics	2021	Fatemeh Gharari Masoud Ganji
+	A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics	2021	Fatemeh Gharari Masoud Ganji
+ PDF Chat	A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics	2021	Fatemeh Gharari Masoud Ganji
+	Stochastic Comparisons of Largest-Order Statistics for Proportional Reversed Hazard Rate Model and Applications	2020	Lu Li Qinyu Wu Tiantian Mao
+	Orderings of the second-largest order statistic with modified proportional reversed hazard rate samples	2025	Mingxia Yang
+	Applications of Stochastic Orders in Reliability and Mixture of Exponential family	2013	jalil jarrahi feriz Gholam Reza Mohtashami Borzadaran Abdolhamid Rezaei Roknabady
+ PDF Chat	On upper bounds on expectations of gOSs based on DFR and DFRA distributions	2020	Agnieszka Goroncy
+ PDF Chat	Inequalities involving expectations of selected functions in reliability theory to characterize distributions	2016	Chanchal Kundu Amit Ghosh
+	Comparisons of order statistics from heterogeneous negative binomial variables with applications	2019	Jianbin Chen Yiying Zhang Peng Zhao
+	Stochastic Orders of Exponential Family	2004	Hailin Gong Xinsheng Zhang
+	Two characteristic properties of the exponential distribution based on order statistics	1998	Jong‐Wuu Wu Liang‐Yuh Ouyang
+	Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals	2020	Naeimeh Dehqani RahmatSadat Meshkat
+	ORDER STATISTICS FROM DEPENDENT, COMPLETELY MONOTONE DISTRIBUTIONS	2009	Mark Brown
+	Distributional properties of order statistics of exponential distribution	2011	DU Chao-xiong
+	Projection bounds on expectations of generalized order statistics from DFR and DFRA families	2006	Mariusz Bieniek

Works That Cite This (1)

Action	Title	Year	Authors
+	IID Samples from Shape Restricted Families	2024	Narayanaswamy Balakrishnan Tomasz Rychlik

Works Cited by This (19)

Action	Title	Year	Authors
+	Maximal Expectations of Extreme Order Statistics from Increasing Density and Failure Rate Populations	2014	Tomasz Rychlik
+	Projection bounds on expectations of generalized order statistics from DFR and DFRA families	2006	Mariusz Bieniek
+ PDF Chat	Evaluations of expected generalized order statistics in various scale units	2002	Erhard Cramer Udo Kamps Tomasz Rychlik
+ PDF Chat	Universal Bounds for Mean Range and Extreme Observation	1954	H. O. Hartley H. A. David
+ PDF Chat	The Maxima of the Mean Largest Value and of the Range	1954	E. J. Gumbel
+	Projection bounds on expectations of generalized order statistics from DD and DDA families	2007	Mariusz Bieniek
+ PDF Chat	A Modification of Schwarz's Inequality with Applications to Distributions	1953	Sigeiti Moriguti
+	Sharp upper mean-variance bounds for trimmed means from restricted families	2003	Katarzyna Danielak
+	Bounds on expected generalized order statistics	2013	Agnieszka Goroncy
+	Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order	2014	Agnieszka Goroncy Tomasz Rychlik