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.

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Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot.

Citing articles from OSA journals and other participating publishers are listed here. Privacy Terms of Use. March 28, Manuscript Accepted: Optics Express Andrew M.

Continuous distributions Survival analysis.

Exponentiated Weibull distribution

The cumulative distribution function for the exponentiated Weibull distribution is. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data exponentiatwd all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. If you require urgent assistance, please contact Customer Service. Express 20 18 Express 22 17 Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data.

Equations exponenitated Equations on this page are rendered with MathJax. By continuing to use this site, you agree to our use of cookies. 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. Click here to learn more. 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.


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 weibul, gamma normal-inverse-Wishart weibul, Wishart.

Please login to set citation alerts. Alert me when this article is cited. Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate.

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

The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family. The Gamma-Gamma GG model is shown for comparison purposes. Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Nowadays, the search for a distribution capable of modeling the probability density function PDF of irradiance data under all conditions of wekbull turbulence in the presence of aperture averaging still continues.

Cauchy exponential power Fisher’s z Gaussian q generalized normal generalized hyperbolic geometric stable Gumbel Holtsmark hyperbolic secant Johnson’s S U Landau Laplace asymmetric Laplace logistic noncentral t normal Gaussian normal-inverse Gaussian skew normal slash stable Student’s t type-1 Gumbel Tracy—Widom variance-gamma Voigt.

Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data. Login or Create Account. Degenerate Dirac delta function Singular Cantor. By using this site, you agree to the Terms exponentiatfd Use and Privacy Policy. They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates.


Click here to see what’s new. They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. This page was last edited on 9 Decemberat February 2, Revised Manuscript: Retrieved from ” https: Ricardo Barrios and Federico Dios Opt. Remember me on this computer.

Optics Express

Petersburg, Russia,pp. Views Read Edit View history. Right click equation to reveal menu options. A similar distribution was introduced in by Zacks, called a Weibull-exponential weibul Zacks Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution.

March 28, Published: Click here to see a list of articles that cite this paper. Later, the moments of the EW distribution were derived by Choudhury From Wikipedia, the free encyclopedia.

Express 20 OSA will be closed for the holidays from 21 December 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.

Circular compound Poisson elliptical exponential natural exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.