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In this paper, we derive some recurrence relations for the single and the product moments of order statistics from n independent and non-identically distributed Lomax and right-truncated Lomax random variables. These recurrence relations
are simple in nature and could be used systematically in order to compute all the single and product moments of all order
statistics in a simple recursive manner. The results for order statistics from the multiple-outlier model (with a slippage
of p observations) are deduced as special cases. We then apply these results by examining the robustness of censored BLUE's to
the presence of multiple outliers.
Received: November 30, 1998; revised version: March 8, 2000 相似文献
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In this paper, we derive some recurrence relations satisfied by the single and the product moments of order statistics arising from n independent and non-identically distributed power function random variables. These recurrence relations will enable one to compute all the single and the product moments of all order statistics in a simple recursive manner. The results for the multiple-outlier model are deduced as special cases. The results are further generalized to the case of truncated power function random variables. 相似文献
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In this paper, we derive two simple identities and some recurrencerelations involving order statistics from a sample of size n in case there is a possibility of one or more outliers being present. 相似文献
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In this paper, we establish new representations, identities and recurrence relations of order statistics (o.s.) arising from general independent nonidentically distributed random variables (r.v.s). These recurrence relations will enable one to compute all moments of all o.s. in a simple manner. Applications for some known distributions are given. 相似文献
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N. Balakrishnan 《统计学通讯:理论与方法》2013,42(12):3373-3393
By considering order statistics arising from n independent non-identically distributed right-truncated exponential random variables, we derive in this paper several recurrence relations for the single and the product moments of order statistics. These recurrence relations are simple in nature and could be used systematically in order to compute all the single and the product moments of order statistics for all sample sizes in a simple recursive manner. The results for order statistics from a multiple-outlier model (with a slippage of p observations) from a right-truncated exponential population are deduced as special cases. These results will be useful in assessing robustness properties of any linear estimator of the unknown parameter of the right-truncated exponential distribution, in the presence of one or more outliers in the sample. These results generalize those for the order statistics arising from an i.i.d. sample from a right-truncated exponential population established by Joshi (1978, 1982). 相似文献
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