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Further results on discrete mean past lifetime |
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| Authors: | G Asha I Elbatal C J Rejeesh |
| Institution: | 1. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, Indiaasha@cusat.ac.in;3. Institute of Statistical Studies and Research, Department of Mathematical Statistics, Cairo University, Cairo, Egypt;4. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, India |
| Abstract: | AbstractThe present paper aims at studying the mean past lifetime of a discrete random variable. The notion of discrete mean past lifetime is studied in relation to the concepts of reversed hazard rate, reversed lack of memory property, and cumulative past entropy. New classes of distributions characterized by particular forms of discrete mean past life are also investigated. Implications of an increasing mean past lifetime on other reliability notions are studied and finally some bivariate generalizations are discussed. |
| Keywords: | Characterizations Discrete mean past lifetime Past entropy Reversed lack of memory Stochastic ordering |