A New Generalized Family of Odd Lomax-G Distributions Properties and Applications
Keywords:
OLG family; OLE distribution; Quantity function; Ordered statistics; R´enyi entropy MLEs methodAbstract
The motivation for this study is to develop the new family of continuous distributions called Odd Lomax-G (OLG). Also present a new flexible three-parameter distribution according to the developed family called the Odd Lomax-G Exponential (OLE) distribution. Using binomial series expansion, logarithmic, and expo-nential expansions, the new OLG family and OLE distribution are expanded. We find the derivative of the moments, the mgf , quantity function, ordered statistics and R´enyi entropy. Then use the MLE method to estimate the OLE model parameters. Finally, an importance of the new family is made clear experimentally through two real data applications. Then explore the performance of OLE distribution inferred from family OLG based on certain goodness of fit criteria.
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