TY - JOUR ID - 1708 TI - Comparisons for series and parallel systems with discrete Weibull components via separate comparisons of parameters JO - Journal of Statistical Modelling: Theory and Applications JA - JSMTA LA - en SN - 2676-7392 AU - Barmalzan, Ghobad AD - Department of Statistics, University of Zabol, Sistan and Baluchestan, Iran Y1 - 2020 PY - 2020 VL - 1 IS - 1 SP - 53 EP - 64 KW - Discrete Weibull distribution KW - P-majorization order KW - Unordered majorization order KW - Weak submajorization order KW - Weak supermajorization order DO - 10.22034/jsmta.2020.1708 N2 - ‎In this paper‎, ‎we obtain the usual stochastic order of series and parallel systems comprising heterogeneous discrete Weibull (DW) components‎. ‎Suppose X1,...,Xn and Y1,...,Yn denote the independent component¢s lifetimes of two systems such that Xi ~ DW(bi‎, ‎p i) and Yi ~ DW(b*i‎, ‎p *i), i=1,...,n. We obtain the usual stochastic order between series systems‎ ‎when the vector \boldsymbolb is switched to the vector b*with respect to the majorization order‎, ‎and when the vector log (1-p) is switched to the vector log (1-p *) in the sense of the weak supermajorization order‎. ‎We also discuss the usual stochastic order between series systems by using the unordered majorization between the vectors log(1-p) and log (1-p *), and the p-majorization order between the parameters \boldsymbolb and b*. It is also shown that the usual stochastic order between parallel systems comprising heterogeneous discrete Weibull components when the vector log p is switched to the vector log p *in the sense of the weak supermajorization order‎. ‎These results enable us to find some lower bounds for the survival functions of a series and parallel systems consisting of independent heterogeneous discrete Weibull components. UR - https://jsm.yazd.ac.ir/article_1708.html L1 - https://jsm.yazd.ac.ir/article_1708_7719c453b27eafaf30da028b9daf03fa.pdf ER -