Characterizations of probability distributions via bivariate regression of generalized order statistics
Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ? (x) is an absolutely continuous and monotonically increasing function in (a,b), ???a<b??, with finite ? (a+), ? (b? ) and E(? (X)).We give characterization...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2013-12-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/11322.pdf |
| Summary: | Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ? (x) is an absolutely continuous and monotonically increasing function in (a,b), ???a<b??, with finite ? (a+), ? (b? ) and E(? (X)).We give characterization of distributions based on the regression of linear combinations of gos. Using our results can obtain characterizations of some distributions. |
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| ISSN: | 1538-7887 |