Bapat, R. B. ; Kochar, Subhash C. (1993) Characterizations of identically distributed independent random variables using order statistics Statistics & Probability Letters, 17 (3). pp. 225-230. ISSN 0167-7152
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0167-7152(93)90171-E
Abstract
Suppose X1,...,Xn are independent random variables of continuous type with proportional hazard (or failure) rates. Let X(r) denote the rth order statistic and let I(r) = i if Xi = X(r). It is proved that Xi's are identically distributed if and only if X(r) and I(r) are independent for some r ∈ {2,...,n}. The second characterization is in terms of order statistics from subsamples.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Order Statistics; Hazard Rate; Competing Risks |
| ID Code: | 78328 |
| Deposited On: | 19 Jan 2012 06:31 |
| Last Modified: | 19 Jan 2012 06:31 |
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