Due to the important role in theory of reliability, forensic science, study of risk analysis, actuarial science, survival analysis, and many other areas of applied probability, the study of inactivity time and its higher order and partial moments has received considerable attention from many authors. In the present paper we give some further insight on the subject. We provide characterization of some continuous distributions based on higher order moments of inactivity time. It is shown that the distribution function can be obtained uniquely through the higher order moments of inactivity time. Furthermore, we study some characterizations based on partial moments of the inactivity time.
Statistical Papers – Springer Journals
Published: Sep 15, 2015
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