Stochastic comparisons of parallel systems with exponentiated Weibull components

Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

“…In addition, there are some literature works that study the generalized exponential distribution, exponential Weibull distribution, and exponential generalized gamma distribution. The relevant research results can be found in the works of Balakrishnan [14], Fang and Zhang [15], Kundu et al [16], Kundu and Chowdhury [17], and Haidari et al [18], among others. Further, by introducing one or more parameters to a base distribution, the new distribution family has been favored by statisticians, for example adding a scale parameter λ to a base distribution F(x)(F(x)), which gives the scale distribution family F(λx)(F(λx)).…”

Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks

“…, X n , then the sample minimum and sample maximum correspond to the smallest and the largest order statistics X 1:n and X n:n respectively. The results of stochastic comparisons of the order statistics (largely on the smallest and the largest order statistics) can be seen in Dykstra et al (1997), Fang and Balakrishnan (2018), Fang and Zhang (2015), Zhao and Balakrishnan (2011), Torrado and Kochar (2015), Balakrishnan et al (2014), Li and Li (2015), , Chowdhury (2016, 2018), Chowdhury and Kundu (2017) and the references there in for a variety of parametric models. The assumption in the papers lies in the fact that each of the order statistics X 1:n , X 2:n , .…”

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

“…Stochastic comparisons of parallel and series systems have been widely studied for various lifetime distributions. One may refer to other works [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and the references contained therein.…”