TY - JOUR
AU - Datta , Madhurima
AU - Gupta, Nitin
PY - 2022/09/15
Y2 - 2024/09/15
TI - Stochastic Comparison for Extreme Order Statistics Arising from PHR, PRHR or Location Model: Accepted: September 2022
JF - REVSTAT-Statistical Journal
JA - REVSTAT
VL -
IS -
SE - Forthcoming Paper
DO -
UR - https://revstat.ine.pt/index.php/REVSTAT/article/view/528
SP -
AB - <p>We have considered series and parallel systems with independent set of random variables belonging from PHR, PRHR family of distributions to study dispersive and star ordering between two systems such that the number of components in both the system are different. This will help us in identifying the deviation of lifetime of a product from the warranty of the product. Moreover, we have also considered series and parallel systems with dependent set of random variables each belonging from location based models, such that the baseline distribution for both the sets are different. The Archimedean copula generators used here are <em>ψ<sub>1</sub></em> and <em>ψ<sub>2</sub></em> such that the condition “<em>ϕ<sub>1</sub></em> ・ <em>ψ<sub>2</sub></em> or <em>ϕ<sub>2</sub></em> ・<em>ψ<sub>1</sub></em> is super-additive” holds. Earlier researchers have studied location-scaled or resilience-scaled models for independent or dependent set of random variables. Our study is an addition to the existing research.</p>
ER -