Relations for Moments of Generalized Record Values from Additive Weibull Distribution and Associated Inference

  • Rafiqullah Khan Aligarh Muslim University, Aligarh
  • M.A Khan Aligarh Muslim University, Aligarh
  • M.A.R Khan Aligarh Muslim University, Aligarh
DOI: https://doi.org/10.19139/soic.v5i2.237
Keywords: Order statistics, k-th upper record values, additive Weibull distribution, single moments, product moments, recurrence relations and characterization.

Abstract

In this note we give some simple recurrence relations satisfied by single and product moments of k-th upper record values from the additive Weibull distribution. These relations are deduced for moments of upper record values. Further, conditional expectation and recurrence relation for single moments are used to characterize  the additive Weibull distribution.

Author Biographies

Rafiqullah Khan, Aligarh Muslim University, Aligarh
Associate Professor in Department of Statistics and O.R., Aligarh Muslim University , Aligarh, India
M.A Khan, Aligarh Muslim University, Aligarh
Associate Professor in Department of Statistics and O.R., Aligarh Muslim University , Aligarh, India
M.A.R Khan, Aligarh Muslim University, Aligarh
Associate Professor in Department of Statistics and O.R., Aligarh Muslim University , Aligarh, India

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Published
2017-06-01
How to Cite
Khan, R., Khan, M., & Khan, M. (2017). Relations for Moments of Generalized Record Values from Additive Weibull Distribution and Associated Inference. Statistics, Optimization & Information Computing, 5(2), 127-136. https://doi.org/10.19139/soic.v5i2.237
Issue
Vol 5 No 2 (2017)
Section
Research Articles
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