Ordering results on extremes of exponentiated location-scale models

S Das, S Kayal, D Choudhuri - Probability in the Engineering and …, 2021 - cambridge.org
In this paper, we consider exponentiated location-scale model and obtain several ordering
results between extreme order statistics in various senses. Under majorization type partial …

Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

N Balakrishnan, P Nanda… - Applied Stochastic Models …, 2018 - Wiley Online Library
In this paper, we deal with comparisons of the smallest and largest order statistics arising
from independent heterogeneous generalized modified Weibull random variables in terms …

Stochastic comparisons of series and parallel systems with Kumaraswamy-G distributed components

S Kayal - American Journal of Mathematical and Management …, 2019 - Taylor & Francis
SYNOPTIC ABSTRACT This article deals with stochastic comparisons of the series and
parallel systems comprising Kumaraswamy generalized family of distributions. The results …

Ordering results on extremes of inverse Kumaraswamy random samples

S Kayal, A Kundu - Communications in Statistics-Theory and …, 2023 - Taylor & Francis
The present communication is devoted to some ordering results on extremes of two sets of
independent heterogeneous random samples. We assume that the samples are taken from …

Exponentiated models preserve stochastic orderings of parallel and series systems

N Balakrishnan, G Barmalzan… - … in Statistics-Theory and …, 2020 - Taylor & Francis
In this paper, we establish that the usual stochastic, hazard rate, reversed hazard rate,
likelihood ratio, dispersive and star orders are all preserved for parallel systems under …

Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model

P Kundu, NK Hazra, AK Nanda - Statistics, 2020 - Taylor & Francis
In this paper, we investigate various stochastic orderings for series and parallel systems with
independent and heterogeneous components having lifetimes following the proportional …

Stochastic comparisons on extremes of burr type XII samples associated with Archimedean copula and heterogeneous shape parameters

J Zhang, A Li, R Fang - Communications in Statistics-Theory and …, 2024 - Taylor & Francis
This study deals with random variables from Burr Type XII samples having heterogeneous
shape parameters and homogeneous frailty parameters. For samples whose survival copula …

Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components

S Kayal, P Nanda - Communications in Statistics-Theory and …, 2022 - Taylor & Francis
This paper treats the problem of stochastic comparisons of two parallel systems with
independent heterogeneous components having lifetimes following exponentiated …

Ordering results of the smallest order statistics from independent heterogeneous new modified generalized linear failure rate random variables

M Abdolahi, GA Parham… - … in Statistics-Theory and …, 2023 - Taylor & Francis
This article deals with stochastic comparisons of series systems comprising a new modified
generalized linear failure rate family of distributions. The results are established in three …

Preservation of Stochastic Orderings of Interdependent Series and Parallel Systems by Componentwise Switching to Exponentiated Models

H Nadeb, H Torabi - Journal of The Iranian Statistical Society, 2022 - jirss.irstat.ir
This paper discusses the preservation of some stochastic orders between two
interdependent series and parallel systems when the survival and distribution functions of all …