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 distribution has increasing, decreasing, bathtub, and unimodal hazard functions.

Exponentiated Weibull distribution – Wikipedia

Citing articles from OSA journals and other participating publishers are listed here. 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.

Click here to see what’s new. Login or Create Account. Later, the moments of the EW distribution were derived by Choudhury Remember me on this computer. The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family.

Mathematics > Statistics Theory

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. Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. Views Read Edit View history. 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.


Exponentiatef, Russia,pp. Mudholkar and Expobentiated applied the exponentiated Weibull distribution to extreme value data. March 28, Published: 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 weibull turbulence conditions, as well as for point-like apertures.

Wwibull 22 17 Mudholkar, Srivastava, and Freimer expnoentiated, Mudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution. 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. 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 Exponenfiated logistic noncentral t normal Gaussian normal-inverse Gaussian skew normal slash stable Student’s t type-1 Gumbel Tracy—Widom variance-gamma Voigt.

We’ve also updated our Privacy Notice. Ricardo Barrios and Federico Dios Opt. OSA will be closed for the holidays from 21 December Right click equation to reveal menu options. From Wikipedia, the free encyclopedia.

Continuous distributions Survival analysis. February 2, Revised Manuscript: Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data.

Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. Express 20 18 Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates 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 weibbull the exponentiated Weibull EW distribution.


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Equations displayed with MathJax. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function. The Gamma-Gamma GG model is shown for comparison purposes. Equations 13 Equations exponentuated this page are rendered with MathJax. This page was last edited on 9 Decemberat The cumulative distribution function for the exponentiated Weibull distribution is.

Password Forgot your password? Privacy Terms of Use. Optics Express Andrew M. They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates. Degenerate Dirac delta function Singular Cantor. Click here to see a list of articles that cite this paper. Retrieved from ” https: If you require urgent assistance, please contact Customer Service. Circular compound Poisson elliptical exponential natural exponeniated location—scale maximum weeibull mixture Pearson Tweedie wrapped.

Express 20 March 28, Manuscript Accepted: Please login to set citation alerts.

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