Odd Generalized Exponential Power Function Distribution: Properties & Applications

Yıl 2019, Cilt: 32 Sayı: 1, 351 - 370, 01.03.2019

Amal Hassan Elsayed Elshrpıeny Rokaya Mohamed

Öz

In this
article we introduce and study a new four-parameter distribution, called odd
generalized exponential power function distribution based on the odd
generalized exponential generated family. The
proposed model serves as an extension of the two-parameter power distribution
as well as includes the odds exponential power function distribution as a new
sub-model. Expressions for the moments, probability weigthed moments,
quantile function, Bonferroni and Lorenz curves, Rényi entropy and order
statistics are obtained. The model parameters are estimated based on the
maximum likelihood and percentile methods of estimation. A simulation study is
carried out to evaluate and compare the performance of different estimators in
terms of their biases, standard errors and mean square errors. Eventually,
the practical importance and flexibility of the proposed distribution in
modelling real data application is examined.  It has
been concluded that the new distribution works better than some other extensions of the
power function distribution.

Anahtar Kelimeler

Power Function distribution, Maximum likelihood estimation, Order statistics

Kaynakça

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