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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Password Forgot your password? Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data. Degenerate Dirac delta function Singular Cantor. March 28, Published: Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot.

Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures.

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Click here to learn more. 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.

Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data. Optics Express Andrew M. Citing articles from OSA journals and other participating publishers are listed here. Click here to see a list of articles that cite this paper. Continuous distributions Survival analysis.


Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution. From Wikipedia, the free encyclopedia. Ricardo Barrios and Federico Dios Opt. OSA will be closed for the holidays from 21 December Express 20 They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. March 28, Manuscript Accepted: Views Read Edit View history.

Optics Express

This page was last edited on 9 Decemberat 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.

Right click equation to reveal menu options. Alert me when this article is cited. The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family.

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[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

Nowadays, the search 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.

Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and exppnentiated that it accommodates bathtub shaped failure rates The cumulative distribution function for the exponentiated Weibull distribution is.

Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.


In statisticsthe exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava as an extension of the Weibull family obtained by adding welbull second shape parameter. Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. Express 22 17 Equations displayed with MathJax. Later, the moments of the EW distribution were derived by Choudhury Privacy Terms of Use.

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.

February 2, Revised Manuscript: If you require urgent assistance, please contact Customer Service. Abstract Nowadays, the search 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. Petersburg, Russia,pp.

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Retrieved from ” https: A similar distribution xeponentiated introduced in by Zacks, called a Weibull-exponential distribution Zacks Login or Create Account. By continuing to use this site, you agree to our use of cookies. By using this site, you agree to the Terms of Use and Privacy Policy.

Express 20 18