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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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.

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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Retrieved from ” https: Equations displayed with MathJax. Click here to see a list of articles that cite this paper.


March 28, Published: Please login to set citation alerts. Login or Create Account. The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family. By continuing to use this site, you agree to our use of cookies.

Continuous distributions Survival analysis. The cumulative distribution function for the exponentiated Weibull distribution is. This page was last edited on 9 Decemberat exponehtiated Optics Express Andrew M. Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate.

Optics Express

Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. If you require urgent assistance, please contact Customer Service. By using this site, you agree to the Terms of Use and Privacy Policy.

Click here to learn more. Express 20 18 Remember me on this computer. 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.

[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates The Gamma-Gamma GG model is exponehtiated for comparison purposes.

Ex;onentiated, the moments of the EW distribution were derived by Choudhury Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution.


They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data.

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

Equations 13 Equations on this page are rendered with MathJax. Ricardo Barrios and Federico Dios Opt. From Wikipedia, the free encyclopedia. Right click equation to reveal menu options. They ewibull that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates.

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February 2, Revised Manuscript: Express 20 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. March 28, Manuscript Accepted: A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Degenerate Dirac delta function Singular Cantor. Alert me when this article is cited. Petersburg, Russia,pp. Citing articles from OSA journals and other participating publishers are listed here.

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