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Abstract
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We study some mathematical properties of a new generator of continuous distributions
called the Odd Nadarajah-Haghighi (ONH) family. In particular, three special models in
this family are investigated, namely the ONH gamma, beta and Weibull distributions.
The family density function is given as a linear combination of exponentiated densities.
Further, we propose a bivariate extension and various characterization results of the new
family. We determine the maximum likelihood estimates of ONH parameters for complete and censored data. We provide a simulation study to verify the precision of these
estimates. We illustrate the performance of the new family by means of a real data set.
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