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Abstract Details

Activity Number: 125
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #304329
Title: Mean Residual Life Function for the Multiplicative ( Additive) Hazard Rate Function
Author(s): Ramesh Gupta*+
Companies: University of Maine
Address: Dept of Mathematics & Stat, Orono, ME, 04469-5752, United States
Keywords: Proportional Hazard ; Proportional Mean Residual Life ; Additive Hazard ; Reduced Mean Residual Life
Abstract:

Mean Residual Life Function for the multiplicative (additive) Hazard rate Function

RAMESH C.GUPTA DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF MAINE ORONO, ME 04469-5752 USA

ABSTRACT

The multiplicative HR model is the usual proportional hazard rate( PHR) model and the additive HR model is the competing risk model Needless to say , that the PHR model has proved to be of tremendous value in survival analysis. It is clear that in the case of PHR model , the shape and the turning points of the HR remain the same. It will be shown that lifting the HR by a constant does not necessarily mean the reduction of the MRLF by a constant . Similarly, multiplying the HR by a constant ( PHR) model, does not necessarily mean that the MRLF is divided by a constant.

To be presented at the JSM 2012, San Diego, CA


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