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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They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates. The cumulative distribution function for the exponentiated Weibull distribution is.

Exponentiated Weibull distribution

Equations 13 Equations on this page are rendered with MathJax. Privacy Terms of Use. Equations displayed with MathJax. This website uses cookies to deliver some of our products and services as well as for exponentizted and to provide you a more personalized experience.

Click here to learn more. Express 20 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. If you require urgent assistance, please contact Customer Service.

Exponentiated Weibull distribution – Wikipedia

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. Click here to see what’s new. Express 20 18 Optics Express Andrew M. A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data.


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Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa fxponentiated various properties of the exponentiated Weibull distribution.

By using this site, you agree to the Terms of Use and Privacy Policy. Abstract Nowadays, the search for a distribution capable of modeling the probability density function PDF of irradiance data under all exponentiaated of atmospheric turbulence in the exponentiates of aperture averaging still continues.

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.

Mathematics > Statistics Theory

Ricardo Barrios and Federico Dios Opt. Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data.

By continuing to use this site, you agree to our use of cookies. Login or Create Account. Alert me when this article is cited. Circular compound Poisson elliptical exponential natural exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. Exopnentiated articles from OSA journals and other participating publishers are listed here.

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. This page was last edited on 9 Decemberat February 2, Revised Manuscript: 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 exponentiafed matrix gamma normal-inverse-Wishart normal-Wishart Wishart.


Continuous distributions Survival analysis. exlonentiated

The Gamma-Gamma GG model is shown for comparison purposes. Views Read Edit View history. Please login to set citation alerts. March 28, Published: 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. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.

From Wikipedia, the free encyclopedia. OSA will be exponenntiated for the holidays from 21 December Click here to see a list of articles that cite this paper. Petersburg, Russia,pp. Express 22 17 We’ve also updated our Privacy Notice. Degenerate Dirac delta function Singular Cantor. Remember me on this computer. Nowadays, the search for a distribution capable exponentitaed modeling the probability density function PDF of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues.

Right click equation to reveal menu options. They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. March 28, Manuscript Accepted: