The Beta Exponentiated Gumbel Distribution
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Abstract:
We introduce a new five-parameter distribution called the beta exponentiated Gumbel (BEG) distribution that includes the beta Gumbel, exponentiated Gumbel and Gumbel distribution. Expressions for the distribution function, density function and rth moment of the new distribution and order statistics are obtained. We discuss estimation of the parameters by maximum liklelihood and provide the information matrix. Using a real data set, we observe that the BEG distribution is flexible and can be used quite effectively in analysing positive data in place of the special cases.
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K. Fathi1∗, S.F. Bagheri2, M. Alizadeh3 ∗, M. Alizadeh4 Department of Statistics, North Branch, Islamic Azad University, Tehran, Iran 1 Department of Statistics, College of Basic Sciences, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran2 Branch of Mazandaran, Statistical Center of Iran3 Department of Mathematical since, University of Mazandaran, Mazandara...
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Journal title
volume 14 issue None
pages 1- 14
publication date 2015-12
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