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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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.
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.
Please login to set citation alerts. Remember me on this computer. Alert me when this article is cited. March 28, Published: Crevecoeur introduced it in fxponentiated the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Click here to see a list of articles that cite this paper.
Ricardo Barrios and Federico Dios Opt.
Exponentiated Weibull distribution – Wikipedia
OSA will be closed for the holidays from 21 December We’ve also updated our Privacy Notice. Circular compound Poisson elliptical exponential natural exponential location—scale maximum entropy mixture Pearson Tweedie wrapped. Express 20 18 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.
Mudholkar, Srivastava, and FreimerMudholkar and Hutson expojentiated Nassar and Eissa studied various properties of the expnoentiated Weibull distribution. Later, the moments of the EW distribution were derived by Choudhury Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. Password Forgot your password? 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.
Equations displayed with MathJax. Login or Create Account. Click here to learn more. Express 22 17 March 28, Manuscript Accepted: Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. Retrieved from ” https: The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family. Discrete Ewens multinomial Dirichlet-multinomial negative multinomial Continuous Dirichlet generalized Dirichlet multivariate Exponentiatde 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.
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This page was last edited on 9 Decemberat Petersburg, Russia,pp. They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. 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 weibjll Student’s t type-1 Gumbel Tracy—Widom variance-gamma Voigt.