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American Journal of Applied Mathematics and Statistics. 2019, 7(3), 101-104
DOI: 10.12691/AJAMS-7-3-3
Original Research

Life Expectancy of a System with Successive Stages of Deterioration

Meenaxi1, , Dalip Singh1 and Narender Singh2

1Department of Mathematics, M.D. University, Rohtak-124001

2Govt College, Birohar, Jhajjar-124106

Pub. Date: April 18, 2019

Cite this paper

Meenaxi, Dalip Singh and Narender Singh. Life Expectancy of a System with Successive Stages of Deterioration. American Journal of Applied Mathematics and Statistics. 2019; 7(3):101-104. doi: 10.12691/AJAMS-7-3-3

Abstract

In this paper we present Life Expectancy and Availability of a patient suffering from Kidney disease, where the deteriorating rates follow the Weibull distribution. In our paper, we present modelling and estimate the life expectancy/mean time to absorbtion and availability of the system having four successive stages of deteriorating system. Explicit expressions for the availability, mean sojourn time and life expectancy/mean time to absorbtion are obtained consequently. Graphs of availability and mean time to absorbtion are also plotted to dispose the nature with respect to time for distinct values of deteriorating rates.

Keywords

life expectancy, mean time to absorbtion, availability

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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