Abstract
A new family of distributions called the odd generalized N-H is introduced and studied. Four new special models are presented. Some mathematical properties of the odd generalized N-H family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation, order statistics and Rényi entropy are investigated. Characterizations based on the truncated moments, hazard function and conditional expectations are presented for the generated family. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.
Highlights
In recent years, several classes have been defined by adding one or more parameters to generate new distributions
We introduce a new generated family of distributions using the NH distribution as a generator
This section deals with the maximum likelihood estimators of the unknown parameters for the OGNH-G family of distributions on the basis of complete samples
Summary
Several classes have been defined by adding one or more parameters to generate new distributions. These distributions extend well-known distributions as well as provide great flexibility to model specific real data. Odd Generalized N-H Generated Family of Distributions with Application to Exponential Model. Characterizations based on the truncated moments, hazard function and conditional expectations are presented for the OGNH-G family. This section is devoted to the characterizations of the OGNH-G distribution in the following directions: (i) based on the ratio of two truncated moments and (ii) in terms of the hazard.
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