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American Journal of Applied Mathematics and Statistics. 2014, 2(2), 77-82
DOI: 10.12691/AJAMS-2-2-5
Original Research

Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Extreme Value Distribution

Kamal Nain Kapoor1,

1Hindu College, University of Delhi, Delhi, India

Pub. Date: March 13, 2014

Cite this paper

Kamal Nain Kapoor. Recurrence Relations for Single and Product Moments of Generalized Order Statistics from Extreme Value Distribution. American Journal of Applied Mathematics and Statistics. 2014; 2(2):77-82. doi: 10.12691/AJAMS-2-2-5

Abstract

In this paper, we establish some recurrence relations satisfied by single and product moments of Generalized Order Statistics from Extreme Value Distribution. These recurrence relations are independent of left truncated point and therefore are also applicable for Logistic as well as for half Logistic distributions studied in Balakrishnan (1985) and Saran and Pandey (2012). For a particular case these results verify the corresponding results of Saran and Pandey (2004) and Kumar (2010).

Keywords

order statistics, record values, generalized order statistics, single moment, product moments, recurrence relations, extreme value distribution

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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