Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151448 | Statistics & Probability Letters | 2015 | 10 Pages |
Abstract
We show that discrete logconcavity of probability mass functions implies logconcavity of their distribution and survival functions. Applications are obtained and discrete strong unimodality of order statistics (OSs) is established. Illustrative examples are provided and finally discrete logconvexity of OSs is discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Mahdi Alimohammadi, Mohammad Hossein Alamatsaz, Erhard Cramer,