New results on stochastic comparison of order statistics from heterogeneous Weibull populations

作者：Fang, Longxiang; Zhang, Xinsheng^*

来源：Journal of the Korean Statistical Society, 2012, 41(1): 13-16.

DOI：10.1016/j.jkss.2011.05.004

• Weibull distribution
• Dispersive ordering
• Parallel systems

Let X-1, ... , X-n be independent random variables with Xi similar to W(alpha, lambda(1)), i - 1, ... n. Let Y-1, ... ,Y-n be a random sample of size n from a Weibull distribution with common parameters alpha, lambda. Let lambda(min) denote the minimum of lambda(i), i = 1, ... , n. If lambda >= (Pi(n)(i)(=1) lambda(alpha)(i))(1/n)/lambda(alpha-1)(min) where alpha > 1, it is shown that the largest order statistics X-n:n is greater than the largest order statistics Y-n:n according to the dispersive ordering.

• 出版日期2012-3
• 单位安徽师范大学; 复旦大学