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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Mathematics > Statistics Theory

Remember me on this computer. Continuous distributions Survival analysis. 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. Optics Express Andrew M. If you require urgent assistance, please contact Customer Service. Exponentiatee, the moments of the EW distribution were derived by Choudhury Equations 13 Equations on this page are rendered with MathJax.

Here, a family of PDFs alternative to the widely accepted Log-Normal exponentiahed 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.

The Gamma-Gamma GG model is shown for comparison purposes. March 28, Manuscript Accepted: Please login to set citation alerts.

[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

Retrieved from ” https: 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.


Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. Circular compound Poisson elliptical exponential natural exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data. 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.

Express 20 18 Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution.

February 2, Revised Manuscript: This website uses cookies to deliver some of our products and services esponentiated well as for analytics and to provide you a more personalized experience.

Petersburg, Russia,pp. 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. A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Another very attractive property of these distributions is the simple weibulo form expression of their respective PDF and cumulative distribution function.

Exponentiated Weibull distribution

Equations displayed with MathJax. March 28, Published: Login or Create Account. Mudholkar and Hutson applied exlonentiated exponentiated Weibull distribution to extreme value data.

Alert me when this article is cited. By continuing to use this site, you agree to our use of cookies. Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot.


Degenerate Dirac delta function Singular Cantor. Express 20 From Wikipedia, the free encyclopedia. By using this site, you agree to the Terms of Use and Privacy Policy. The cumulative distribution function for the exponentiated Weibull distribution is. Click here to learn more. Ricardo Barrios and Federico Dios Opt. Right click equation to reveal exponentiahed options. OSA will be closed for the holidays from 21 December 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.

They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions.

Click here to see what’s new. 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 exoonentiated Gumbel Tracy—Widom variance-gamma Voigt.

The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family.

Click here to see a list of articles that cite this paper. Express 22 17 Password Forgot your password? Privacy Terms of Use. They showed that the exponentiated Weibull distribution webull increasing, decreasing, bathtub, and unimodal hazard rates.