Some Results on Stochastic Orderings of Generalized Order Statistics and Spacings
| Autor: | Mohammad Amini, G. R. Mohtashami Borzadaran, Z. Zamani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Discrete mathematics Applied Mathematics Order statistic Generalized order statistics Mean residual life order Excess wealth order Dynamic cumulative residual quantile entropy order DFR IFR DMRL IMRL 02 engineering and technology 01 natural sciences lcsh:QA75.5-76.95 Computer Science Applications 010104 statistics & probability 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing lcsh:Electronic computers. Computer science lcsh:Probabilities. Mathematical statistics 0101 mathematics lcsh:QA273-280 Mathematics |
| Zdroj: | International Journal of Computational Intelligence Systems, Vol 16, Iss 3, Pp 306-321 (2017) Journal of Statistical Theory and Applications (JSTA), Vol 16, Iss 3 (2017) |
| ISSN: | 1875-6883 |
| Popis: | Generalized order statistics unify the study of order statistics, record values, k-records, Pfeifer’s records and several other cases of ordered random variables. In this paper, we first provide several comparison results for generalized order statistics in terms of the dynamic cumulative residual quantile entropy order. We also prove that when the minimum of random vectors of generalized order statistics is increasing mean residual life (IMRL), the spacings of generalized order statistics are ordered by variance, and the covariance between successive spacings is nonnegative. The normalized spacings of generalized order statistics from two sample sequences are also compared with respect to the mean residual life and the excess wealth orders. |
| Databáze: | OpenAIRE |
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