On General Exponential Weight Functions and Variation Phenomenon

Célestin C. Kokonendji (), Aboubacar Y. Touré () and Rahma Abid ()
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Célestin C. Kokonendji: Université Bourgogne Franche-Comté, UFR Sciences et Techniques
Aboubacar Y. Touré: Université Bourgogne Franche-Comté, UFR Sciences et Techniques
Rahma Abid: University of Sfax

Sankhya A: The Indian Journal of Statistics, 2022, vol. 84, issue 2, No 20, 924-940

Abstract: Abstract General weighted exponential distributions including modified exponential ones are widely used with great ability in statistical applications, particularly in reliability. In this paper, we investigate full exponential weight functions and their extensions from any nonnegative continuous reference weighted distribution. Several properties and their connections with the recent variation phenomenon are then established. In particular, characterizations, weightening operations and dual distributions are set forward. Illustrative examples and concluding remarks are extensively discussed.

Keywords: Dual distribution; equi-variation; exponential dispersion models; exponential distribution; life distribution; over-variation; reliability; under-variation; weighted distribution.; 60E05; 62E10; 62E15. (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13171-020-00226-z

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