The gompertz family pdf download

The annual scholar awards from Lupine Publishers honor a selected number Read More We know the financial complexity of Individual read more The annual scholar awards from Lupine Publishers honor a selected number read more Email Us: info lupinepublishers. Submit Manuscript. Also view in:. Figure 5: Histogram of the fitted distributions. Figure 6: Empirical cdf of the fitted distributions.

Editorial Manager: Janet Thelma. Track Your Article. Top Editors. Member In. Scholar Awards. Feedback Tell us how we're doing! Online Submission System. It allows for greater flexibility of its tails and can be widely applied to many areas of Engineering and Biology. This study takes advantage of this generator to introduce Lomax-Gompertz Distribution, by generalizing the Gompertz Distribution. This will increase the flexibility of the Gompertz distribution and also widen its areas of applications in Engineering and Biology.

The Gompertz distribution GD can be skewed to the right or to the left. It is a generalization of the exponential distribution ED and is commonly used in many applied lifetime data analysis Johnson et al. The hazard rate function of Gompertz distribution is an increasing function,which makes it applicable 3 todescribe the distribution of adult life spans by actuaries and demographers Willemse and Koppelaar, Despite the applicability of the Gompertz distribution, limited work has been done in extending the distribution to increase its flexibility.

Also to the best of our knowledge, there has been no research that extends the Gompertz distribution based on a Lomax link function,therefore, we expect that the proposed distribution will perform better in fitting real datasets and also improve the flexibility of the distribution as reported by previous studies in the literature. The specific objectives for achieving the stated aim are, to; i.

Also this will widen the areas that the distribution can be applied. The proposed distribution has been compared to some existing generalizations of the Gompertz distribution using some real life datasets to evaluate its performance.

The maximum likelihood Estimation method employed in this study yielded non-linear system of equations which could not be solved analytically to obtain the maximum likelihood estimates. R software was utilized to solve for the Estimates of the parameters in the model using datasets. Other suitable software includes Python, SAS etc. Probability is used to describe the likelihood or the chances that these random variables will equal specific values or be within a given range of specific values.

A probability density function is a mathematical expression that approximately agrees with the frequencies of possible events of a random variable. A random variable is said to be continuous if its range contains an interval of real numbers.

Hacettepe Journal of Mathematics and Statistics. The Gompertz-G family of distributions. The odd Lindley-G family of distributions. Austrian J. The generalized Gompertz distribution.

Applied Mathematical Modelling. Gupta RD, Kundu D. Generalized exponential distribution. Australian and New Zealand Journal of Statistics. The Beta-Gompertz distribution. The odd generalized exponential Gompertz distribution. Applied Mathematics. Transmuted Gompertz distribution. Computational and Applied Mathematics Journal.

On properties and applications of Lomax-Gompertz distribution. Asian J. Power Lindley distribution and associated inference. Data Anal. The power Lomax distribution with an application to bladder cancer data. Springer Plus. Sample quantiles in statistical packages. The American Stat. Mathematics of statistics, 3 Edn. Moors JJ. A quantile alternative for kurtosis. Society: Series D.