TY - JOUR AU - Shalabi, Rania Mustafa AU - Amer, Yasser Mohamed PY - 2021 TI - A New Family: Σh Distributions JF - Journal of Mathematics and Statistics VL - 17 IS - 1 DO - 10.3844/jmssp.2021.1.12 UR - https://thescipub.com/abstract/jmssp.2021.1.12 AB - 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.