Abtsrcat Order statistics, record values and several other model of ordered random variables can be viewed as special case of generalized order statistics ( gos) [Kamps, 1995]. Pawlas and Szynal (2001) introduced the con-cept of lower generalized order statistics ( lgos) to enable a common approach to descending ordered rv's like reversed order statistics and lower record values. The work of Burkschat et al. (2003) may also be seen for dual (lower) generalized order statistics. In this paper simple expressions for single and product moments of lower generalized order statistics from power function distribution have been obtained. Further, some important deductions and computational works are carried out.
In this paper we derive explicit algebraic expressions and some recurrence relations for both single and product moments of dual generalized order statistics from a family of J-shaped distribution. These relations generalize the results given by Zghoul (2010Zghoul ( , 2011. Further, a characterization of this distribution through conditional expectation of dual generalized order statistics is given and some computational works are also carried out. ª 2015 Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
In this note we give some simple recurrence relations satisfied by single and product moments of k-th upper record values from the additive Weibull distribution. These relations are deduced for moments of upper record values. Further, conditional expectation and recurrence relation for single moments are used to characterize the additive Weibull distribution and some computational works are also carried out.
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