Some Characterizations of Exponential Distribution

  •  M. Ahsanullah    
  •  M. Z. Anis    


There are some characterizations of the exponential distribution based on the relation of the maximum of two observations expressed as linear combination of the two observations. In this paper some generalizations of this known characterization of the exponential distribution using the relations between the maximum and minimum of  independent and identically distributed random variables having absolutely continuous (with respect to Lebesgue measure) distribution function will be presented.

This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1927-7032
  • ISSN(Online): 1927-7040
  • Started: 2012
  • Frequency: bimonthly

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