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The lack of memory property in the density form

Author

Listed:
  • Rishideep Roy

    (University of Chicago, Chicago - USA)

  • Dilip Roy

    (Burdwan University, Burdwan - India)

Abstract
The celebrated lack of memory property is a unique property of the exponential distribution in the continuous domain. It is expressed in terms of equality of residual survival function with the survival function of the original distribution. We propose to extend this lack of memory property in terms of probability density function and examine therefrom its characterization and stability properties. In this process the density version of the lack of memory property can be interlinked with reciprocal coordinate subtangent of the density curve and a few other derived measures.

Suggested Citation

  • Rishideep Roy & Dilip Roy, 2013. "The lack of memory property in the density form," Statistica, Department of Statistics, University of Bologna, vol. 73(2), pages 165-176.
    • Handle: RePEc:bot:rivsta:v:73:y:2013:i:2:p:165-176
    as

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