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Existence of Gompertz parameters with mortality deceleration rate and their asymptotic formulae for a large population
Authors:M Pitchaimani  T Eakin  
Institution:aDepartment of Applied Mathematics and Statistics, School of Mathematics, Madurai Kamaraj University, Madurai - 625 021, India;bThe University of Texas at Austin, Department of Kinesiology and Health Education, Austin, TX 78712, USA
Abstract:In this paper we provide an interval of existence of mortality rate parameters A and α, and their asymptotic expressions in a Gompertz survival model with mortality deceleration rate, in the absence of age specific mortality data.
Keywords:Asymptotic formulae  Deceleration rate  Gompertz parameter  Logistic frailty model  Maximum lifespan  Mortality rate  Survival function
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