Asymptotic reliability theory of k-out-of-n systems

作者：Torrado Nuria^*; Veerman J J P

来源：Journal of Statistical Planning and Inference, 2012, 142(9): 2646-2655.

DOI：10.1016/j.jspi.2012.03.015

• Order statistics
• Stochastic orderings
• k-out-of-n systems
• Heterogeneous distributions

We formulate a theory that allows us to formulate a simple criterion that ensures that two k-out-of-n systems A and (A) over tilde are not ordered. If the systems fail the criterion, it does not follow they are ordered. Thus the theory only serves to avoid some a priori useless comparisons: when neither A nor (A) over tilde can be said to be better than the other. The power of the theory lies in its wide potential applicability: the assumptions involve very weak estimates on the asymptotic behavior (t -%26gt; 0 and t -%26gt; infinity) of the constituent survival probabilities. We include examples.

• 出版日期2012-9