Semiparametric Inference for Proportional Mean Past Life Model

Mansourvar Z. () and Asadi M. ()
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Mansourvar Z.: Department of Statistics, Faculty of Sciences, University of Isfahan, Isfahan81744, Iran (the Islamic Republic of)
Asadi M.: Department of Statistics, Faculty of Sciences, University of Isfahan, Isfahan81744, Iran (the Islamic Republic of)

The International Journal of Biostatistics, 2019, vol. 15, issue 1, 11

Abstract: The mean past lifetime provides the expected time elapsed since the failure of a subject given that he/she has failed before the time of observation. In this paper, we propose the proportional mean past lifetime model to study the association between the mean past lifetime function and potential regression covariates. In the presence of left censoring, martingale estimating equations are developed to estimate the model parameters, and the asymptotic properties of the resulting estimators are studied. To assess the adequacy of the model, a goodness of fit test is also investigated. The proposed method is evaluated via simulation studies and further applied to a data set.

Keywords: counting process; martingale estimating equation; mean past lifetime; proportional model; reversed hazard rate (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1515/ijb-2018-0020

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