International Journal of Statistics and Systems
  • Year: 2010
  • Volume: 5
  • Issue: 4

Moments of Generalized Order Statistics from Erlang-Truncated Exponential Distribution and its Characterization

  • Author:
  • R.U. Khan, Devendra Kumar, Haseeb Athar
  • Total Page Count: 10
  • Page Number: 455 to 464

Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, U.P.-202 002, India

*Corresponding Author E-mail: aruke@rediffmail.com

AMS subject classification: 62G30, 62E10, 62E15.

Abstract

In this paper single and product moments of generalized order statistics from Erlang-truncated exponential distribution are studied. Some recurrence relations for both single and product moments of generalized order statistics are also derived. Further the results are deduced for moments of record values and ordinary order statistics and characterization of this distribution through the conditional moment of the generalized order statistics is also presented.

Keywords

Generalized order statistics, order statistics, record values, single moments, product moments, recurrence relations, Erlang-truncated exponential distribution and characterization