On some analogues of lack of memory properties for the Gompertz distribution

ABSTRACT

We discuss some analogues of the lack of memory property, the strong lack of memory property and the almost lack of memory properties for the Gompertz distribution as applications of the integrated Cauchy functional equation.

KEYWORDS:

• Almost lack of memory property
• characterization
• exponential distribution
• Gompertz distribution
• integrated Cauchy functional equation
• lack of memory property
• strong lack of memory property

MATHEMATICS SUBJECT CLASSIFICATION:

• 60E05
• 62E10

Acknowledgment

This work was supported under the scheme “Ramanujan Chair Professor” at the CR Rao advanced Institute of Mathematics, Statistics and Computer Science, Hyderabad, India.