Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153523 | Statistics & Probability Letters | 2011 | 6 Pages |
Abstract
Because of the importance of ordered random variables and, in general, generalized order statistics (GOSs), in many branches of Statistics, a wide interest has been shown in investigating unimodality and strong unimodality of such random variables. Assuming certain restrictions on the model parameters and distributions, some authors have shown unimodality of GOSs. In this article, we shall provide some new results on unimodality of GOSs based on the population distribution function which contain and strengthen several known findings in this regard. A counterexample is also provided for the cases where the results are not valid in general. Unimodality of arbitrary spacings of GOSs based on exponential distributions is also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Mahdi Alimohammadi, Mohammad Hossein Alamatsaz,