Generalized Burr X family of distributions
In this paper, we introduce a new class of distributions called Burr X family of distributions with one extra positive parameter to generalize any continuous baseline distribution. This class can yield flexible hazard rate shapes such as increasing, decreasing, bathtub and upside-down bathtub. Some mathematical properties of the new class including ordinary and incomplete moments, quantile, generating functions, mean deviations, order statistics and entropy measures are obtained. The model parameters are estimated by the maximum likelihood method. A real data is analyzed to check the potentiality of the new class.
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