noconstant suppress constant term distribution(exponential) exponential survival distribution distribution(gompertz) Gompertz survival distribution distribution(loglogistic) loglogistic survival distribution distribution(llogistic) synonym for distribution(loglogistic) distribution(weibull) Weibull survival distribution distribution(lognormal) lognormal survival distribution distribution(lnorma...

In this communication, based upon the deterministic Gompertz law of cell growth, a stochastic model in tumour growth is proposed. This model takes account of both cell ssion and mortality too. The corresponding density function of the size of the tumour cells obeys a functional Fokker-Planck equation which can be solved analytically. It is found that the density function exhibits an interesting...

In this paper we have proven uniqueness theorems for estimation of the age-dependent parameter α in the Gompertz survival model with a mortality deceleration rate, in the absence of age-specific mortality data. We obtained estimations dependent on and uniform in the population size N . c © 2007 Elsevier Ltd. All rights reserved.

An ensemble formulation for the Gompertz growth function within the framework of statistical mechanics is presented, where the two growth parameters are assumed to be statistically distributed. The growth can be viewed as a self-referential process, which enables us to use the Bose-Einstein statistics picture. The analytical entropy expression pertain to the law can be obtained in terms of the ...

In Demography and modelling mortality (or failure) data the univariate Makeham-Gompertz is well-known for its extension of exponential distribution. Here, a bivariate class of Gompertz--Makeham distribution is constructed based on random number of extremal events. Some reliability properties such as ageing intensity, stress-strength based on competing risks are given. Also dependence properties...

oftware Reliability Growth Model is a mathematical model of how the software reliability improves as faults are detected and repaired. The performance of SRGM is judged by its ability to fit the software failure data. How good does a mathematical model fit to the data and reliability of software is presented in the current paper. The model under consideration is the, Gompertz model. MLE method ...

In this paper, we consider shared gamma frailty model with Gompertz distribution as baseline hazard for bivariate survival times. The problem of analyzing and estimating parameters of bivariate Gompertz distribution with shared gamma frailty is of interest and the focus of this paper. We solve the inferential problem in a Bayesian framework with the help of a comprehensive simulation study. We ...

In this note, we characterize the Gompertz distribution in terms of extreme value distributions and point out that it implicitly models the interplay of two antagonistic growth processes. In addition, we derive a closed form expressions for the Kullback-Leibler divergence between two Gompertz Distributions. Although the latter is rather easy to obtain, it seems not to have been widely reported ...

In this paper we provide an interval of existence of negative critical mortality rate parameters A and α in Gompertz survival model, in the absence of age specific mortality data. c © 2007 Elsevier Ltd. All rights reserved.