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...

A very basic problem in reliability modeling is to obtain information about the form of the population from which the sample is drawn. Goodness of fit test is employed on different real data sets to determine how well the observed sample data "fits" on proposed model for reliability analysis. In this paper, we obtain the tables and graphs of critical values of Kolmogorov-Smirnov (KS) test, and ...

A new class of bivariate Gompertz distributions is presented in this paper. The model introduced here is of Marshall-Olkin type. The used procedure is based on a latent random variable with exponential distribution. A mixture of the suggested bivariate distributions is also derived. The obtained results in this paper generalize those of MarshallOlkin bivariate exponential distribution and other...

The COVID-19 pandemic has highlighted the need for finding mathematical models to forecast evolution of contagious disease and evaluate success particular policies in reducing infections. In this work, we perform Bayesian inference a non-homogeneous Poisson process with an intensity function based on Gompertz curve. We discuss prior distribution parameter generate samples from posterior by usin...

For treating cancer, tumor growth models have shown to be a valuable resource, whether they are used develop therapeutic methods paired with process control or simulate and evaluate treatment processes. In addition, fuzzy mathematical model is tool for monitoring the influences of various elements creating behavioral assessments. It has been designed decrease ambiguity parameters obtain reliabl...

Italian ryegrass (Lolium multiflorum L.) is a highly competitive weed widely disseminated worldwide that affects both summer and winter crops. The development of predictive emergence models can contribute to optimizing management. aim this study was develop validate an empirical model based on soil thermal time. For development, cumulative in two locations obtained, the validated with data coll...