A New Family: Σh Distributions
- 1 Cairo Higher Institutes in Mokattam, Egypt
- 2 The Higher Institute of Managerial Science, Egypt
Abstract
In this study, a new method is proposed for generating families of the sum of the hazard functions for two distributions named the Σh distributions. This new family will help in the application of a wider range of life time data. Many new distributions, which are members of the family, are presented with emphasis on the Σh Exponential-Lomax distribution. Details and various statistical properties have been introduced. The maximum likelihood estimation for parameters of the Σh Exponential-Lomax distribution has also been discussed alongside Monte Carlo simulation study to assess the accuracy and the performance of the estimation procedure. Finally, the Σh Exponential-Lomax distribution has been fitted to a real data set to provide variability of its applicability.
DOI: https://doi.org/10.3844/jmssp.2021.1.12
Copyright: © 2021 Yasser Mohamed Amer and Rania Mustafa Shalabi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Hazard Functions
- Lomax Distribution
- Exponential Distribution
- Maximum Likelihood
- Monte Carlo