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NONMONOTONIC FAILURE RATES AND MEAN RESIDUAL LIFE FUNCTIONS

, 2001
Ramesh C. Gupta
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Evaluating the Reliability Function and the Mean Residual Life for Equipment With Unobservable States

IEEE Transactions on Reliability, 2010
This article proposes a model to calculate the reliability function, and the mean residual (remaining) life of a piece of equipment, when its degradation state is not directly observable. At each observation moment, an indicator of the underlying unobservable degradation state is observed, and the monitoring information is collected.
Alireza Ghasemi, Soumaya Yacout, Mohamed-Salah Ouali   +2 more
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Equilibrium Reinsurance Strategy and Mean Residual Life Function

Acta Mathematicae Applicatae Sinica, English Series
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Danping, Chen, Lv, Qian, Linyi, Wang, Wei   +3 more
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Estimation of two ordered mean residual life functions

Journal of Statistical Planning and Inference, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Xiaomi, Kochar, Subhash C., Mukerjee, Hari, Samaniego, Francisco J.   +3 more
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Nonparametric Estimation of a Bivariate Mean Residual Life Function

Journal of the American Statistical Association, 2002
In many statistical studies involving failure data, mean residual life function is of prime importance. The bivariate mean residual life function has received relatively less attention in the literature. In this article we use a simple nonparametric estimator for a bivariate mean residual life function.
Kulkarni H.V., Rattihalli R.N.
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Some New Bounds for Moment Generating Functions of Various Life Distributions Using Mean Residual Life Functions

Journal of Statistical Theory and Practice, 2021
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Steven G. From, Suthakaran Ratnasingam
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Tests and Confidence Sets for Comparing Two Mean Residual Life Functions

Biometrics, 1988
The mean residual life function of a population gives an intuitive and interesting perspective on the aging process. Here we present new nonparametric methods for comparing mean residual life functions based on two independent samples. These methods have the flexibility to handle crossings of the functions and result in a new type of confidence set. We
R L, Berger, D D, Boos, F M, Guess
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Nonparametric estimation of the conditional mean residual life function with censored data

Lifetime Data Analysis, 2011
The conditional mean residual life (MRL) function is the expected remaining lifetime of a system given survival past a particular time point and the values of a set of predictor variables. This function is a valuable tool in reliability and actuarial studies when the right tail of the distribution is of interest, and can be more informative than the ...
McLain, Alexander C., Ghosh, Sujit K.
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Jackknife empirical likelihood test for mean residual life functions

Communications in Statistics - Theory and Methods, 2016
ABSTRACTMean residual life (MRL) function is an important function in survival analysis which describes the expected remaining life given survival to a certain age. In this article, we propose a non parametric method based on jackknife empirical likelihood through a U-statistic to test the equality of two mean residual functions.
Ying-Ju Chen, Wei Ning, Arjun K. Gupta
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Mean residual life function for normal, gamma and lognormal densities

Reliability Engineering, 1983
The evaluation of reliability function for normal, gamma and lognormal failure densities involves numerical integration. In order to evaluate mean residual life function one has to integrate the reliability function which involves numerical integration once again.
K.K. Govil, K.K. Aggarwal
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