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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Petersburg, Russia,pp.

From Wibull, the free encyclopedia. Circular compound Poisson elliptical exponential natural exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. 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.

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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. Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution. March 28, Published: Later, the moments of the EW distribution exponenttiated derived by Choudhury Login or Create Account.


[] 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 Rxponentiated login to set citation alerts. Mudholkar and Hutson applied the weibkll Weibull distribution to extreme value data. A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Alert me weibu,l this article is cited.

Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function. By using this site, you agree to the Terms of Use and Privacy Policy. By continuing to use this site, you agree to our use of cookies. Views Read Edit View history. Retrieved from ” https: They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. We’ve also updated our Privacy Notice. Equations 13 Equations on this page are rendered with MathJax.

Exponentiated Weibull distribution – Wikipedia

Express 20 Cauchy exponential power Fisher’s z Gaussian exponentitaed 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.


Express 20 18 February 2, Revised Manuscript: Remember me on this computer. Citing articles from OSA journals and other participating publishers are listed here.

Equations displayed with MathJax. Ricardo Barrios and Federico Dios Opt.

Continuous distributions Survival analysis. 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.

Mathematics > Statistics Theory

Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. The Gamma-Gamma GG model is shown for comparison purposes.

They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates.

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