06038564

j

06038564 Xu, Maochao Hu, Taizhong Order statistics from heterogeneous negative binomial random variables. Probab. Eng. Inf. Sci. 25, No. 4, 435-448 (2011). 2011 Cambridge University Press, New York, NY EN heterogeneous negative binomial random variables extreme order statistics Poisson-Gamma shock model redundant systems

doi:10.1017/S0269964811000118

Summary: We study the order statistics from heterogeneous negative binomial random variables. Sufficient conditions are provided for comparing the extreme order statistics according to the usual stochastic order. For the special case of a geometric distribution, a sufficient condition is established for comparing order statistics in the sense of multivariate stochastic order. Applications in the Poisson-Gamma shock model and redundant systems are described as well.