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Duffy, S.W. and Chen, H.H., Estimation of mean sojourn time in breast cancer screening using a Markov chain model entry to and exit from preclinical detectable phase. Statist. Med. 14, 1531-1543, 1995.

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Article

Life Expectancy of a System with Successive Stages of Deterioration

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

2Govt College, Birohar, Jhajjar-124106


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 3, 101-104
DOI: 10.12691/ajams-7-3-3
Copyright © 2019 Science and Education Publishing

Cite this paper:
Meenaxi, Dalip Singh, 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.

Correspondence to:  Meenaxi, Department of Mathematics, M.D. University, Rohtak-124001. Email: meenaxijune@gmail.com

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