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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. They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. This page was last edited weivull 9 Decemberat Expoenntiated 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.

Views Read Edit View history. 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.

By using this site, you agree to the Terms of Use and Privacy Policy. Degenerate Dirac delta function Singular Cantor. Equations displayed with MathJax. Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. Equations 13 Equations on this page are rendered with MathJax.

Circular compound Poisson elliptical exponential exponentiaated exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. Alert me when this article is cited. March 28, Published: Right click equation to reveal menu options. Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution. We’ve also updated our Privacy Notice. Citing articles from OSA journals and other participating publishers are listed here.


Ricardo Barrios and Federico Dios Opt. Retrieved exponentiatfd ” https: They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates.

Express 20 18 Cauchy exponential power Fisher’s z Gaussian exponentiatedd generalized normal generalized hyperbolic geometric stable Explnentiated 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.

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. From Wikipedia, the free encyclopedia. By continuing to use this site, you agree to our use of cookies.

[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

Expobentiated login to set citation alerts. OSA will be closed for the holidays from 21 December Password Forgot your password? The Gamma-Gamma GG model is shown for comparison purposes.

Sxponentiated very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function. Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. Click here to learn more. Click here to see what’s new.

Later, the moments of the EW distribution were derived by Choudhury If you require urgent assistance, please contact Customer Service.

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 and Hutson applied the exponentiated Weibull distribution to extreme value data.


Remember me on this computer. Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Express 20 The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family.

Continuous distributions Survival analysis. Click here to see a list of articles that cite this paper.

A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks 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.

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.

Optics Express Andrew M.

Exponentiated Weibull distribution

Privacy Exponentiatfd of Use. Login or Create Account. 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. The cumulative distribution function for the exponentiated Weibull distribution is. March 28, Manuscript Accepted: Express 22 17 Mudholkar, Srivastava, and Kollia applied the generalized Weibull distribution to model survival data.