Reply to comment on “The exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves”. Ricardo Barrios and Federico Dios. In this paper, a new model is presented resulting in the exponentiated Weibull ( EW) distribution, along with a physical justification for the appearance of the. A review is given of the exponentiated Weibull distribution, the first generalization of the two-parameter Weibull distribution to accommodate.

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Abstract Nowadays, the exponentiaed for a distribution capable of modeling the probability density function PDF of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Views Read Edit View history.

OSA | Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves

Privacy Terms of Use. This website uses cookies to deliver some of our products and services as well as for analytics and to provide you a more personalized experience. They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates.


Equations 13 Equations on this page are rendered with MathJax. Alert me when this article is cited. Express 20 Equations displayed with MathJax.

Mathematics > Statistics Theory

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Another exponebtiated attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function. Discrete Ewens multinomial Dirichlet-multinomial negative multinomial Continuous Dirichlet generalized Dirichlet multivariate Laplace multivariate normal multivariate stable multivariate t normal-inverse-gamma normal-gamma Matrix-valued inverse matrix gamma inverse-Wishart matrix normal matrix t matrix gamma normal-inverse-Wishart normal-Wishart Wishart.

Ricardo Barrios and Federico Dios Opt.

From Wikipedia, the free encyclopedia. Petersburg, Russia,pp.

Optics Express

Right click equation to reveal menu options. The cumulative distribution function for the exponentiated Weibull distribution is. A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Express 20 18 Optics Express Andrew M. February 2, Revised Manuscript: By using this site, you agree to the Terms of Use and Privacy Policy. Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution.

Click here to see a list of articles that cite this paper. Click here to see what’s new. Express 22 17 In statisticsthe exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava as an extension of the Weibull family obtained by adding a second shape parameter.

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Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data. Retrieved from ” https: Login or Create Account.

[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

Later, the moments of the EW distribution were derived by Choudhury The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull EW distribution.

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