ON RELATIONS FOR GENERALIZED RAYLEIGH DISTRIBUTION BASED ON LOWER GENERALIZED ORDER STATISTICS AND ITS CHARACTERIZATION

Authors

  • DEVENDRA KUMAR

Keywords:

Lower generalized order statistics, order statistics, lower records, single moments, product moments, recurrence relations, generalized Rayleigh distribution and characterization.

Abstract

this paper, we derive the explicit expressions and some recurrence relations for single
and product moments of lower generalized order statistics from generalized Rayleigh distribution.
The results include as particular cases the above relations for moments of order
statistics and lower records. Further, using a recurrence relation for single moments we
obtain characterization of generalized Rayleigh distribution.

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Issue

Vol. 45 No. 1 (2011)

Section

Articles