Moments of Generalized Record Values from Kumaraswamy-log-logistic Distribution and Related Inferences

  • Bavita Singh
  • Rafiqullah Khan
  • Mohd. A.R. Khan
Keywords: Order statistics, generalized upper record values, record values, Kumaraswamy-Fisk or Kumaraswamy-log-logistic distribution, single moments, product moments, recurrence relations, truncated moment, characterization

Abstract

In this paper, explicit expression for single moments and some recurrence relations satisfied by single and product moments of generalized upper record statistics or k-th upper record values from the Kumaraswamy-Fisk or Kumaraswamy-log-logistic distribution are derived. These relations can be used to obtain the higher order moments from those of the lower order. The results obtained are deduced for moments of upper record statistics. Further, conditional expectation, recurrence relations for the single as well as product moments and truncated moment are used to characterize this distribution.

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Published
2018-12-27
Section
Articles