During its 330 years of history, parametric distributions have been useful for survival and reliability analyses. In this paper, we comprehensively review the historical backgrounds statistical properties a number used in We provide encyclopedic coverage important distributions, which is more extensive than existing textbooks on also explain how these adopted analyses with original state-of-the...

growth analysis is a valuable method in the quantitative analysis of crop growth, development and crop production. there are many regression models to describe the sigmoid growth patterns. by considering that, the parameters of non-linear regression models have physiological meanings, they are preferable relation to linear regression models. the aim of this study was to collect and evaluate the...

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 ...

The objective of this study was to evaluate the growth curve 525 monthly body weight data 19 males (n=313) and 8 females (n=212) swamp buffaloes (Bubalus b. carabanensis), from birth slaughter age (25 months). nonlinear models used were: logistic, Gompertz, Von Bertalanffy Brody. parameters were estimated by NLIN procedure, criteria adjustment given Akaike’s information criterion (AIC), Bayesia...

Among deciduous species, the peach tree (Prunus persica [L.] Batsch.) is of great importance in high tropics. However, growth behavior this fruit for different cultivated varieties unknown. So, adjustment to double sigmoid curves assumed all even though type have been reported many cultivar. This has led misinterpretation information, impeding decision-making terms management. Non-linear regres...

Native poultry is a valuable genetic source with high resistance against diseases providing an important subject for breeding programs. The non-linear mathematical modeling of the growth pattern may partly explain the relationship between requirements and body weight to precise feeding that plays a vital role in the animal enterprises. A study was conducted to compare five non-linear models inc...

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.