| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1154104 | Statistics & Probability Letters | 2008 | 6 Pages |
Abstract
Sen [1970. A note on order statistics for heterogeneous distributions. Ann. Math. Statist. 41, 2137-2139] derived some inequalities for distributions of order statistics from independent and non-identically distributed (INID) random variables. For this purpose, he used Hoeffding's [1956. On the distribution of the number of successes in independent trials. Ann. Math. Statist. 27, 713-721] inequality concerning distributions of convolutions of Bernoulli random variables. In this note, we present an alternate proof for Sen's inequalities which also leads to various generalizations.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
N. Balakrishnan, K. Balasubramanian,