Expectation Identities of Generalized Order Statistics from the Bass Diffusion Model

Authors

  • Zaki Anwar Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, UP, India
  • Abdul Nasir Khan Department of Mathematics, NIMS University, Jaipur, Rajasthan, India
  • Neetu Gupta Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, UP, India

Keywords:

Order statistics, record values, generalized order statistics, Bass diffusion model, recurrence relation and characterization

Abstract

In this paper, we have studied the Bass diffusion model to establish some recurrence relations for the single and product moments under generalized order statistics framework. These relations are further reduced in the special cases of generalized order statistics like order statistics and record values. We have also obtained the characterizing results by using conditional expectation and recurrence relation for the single moments of generalized order statistics from the Bass diffusion model.

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Published

2021-12-30

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Articles