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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Exponentiated Weibull distribution – Wikipedia

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[] Bivariate Discrete Exponentiated Weibull Distribution: Properties and Applications

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Optics Express Andrew M. March 28, Published: They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates. Equations displayed with MathJax.

A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Please login to set citation alerts.

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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.

Views Read Edit View history. Mudholkar, Exponentiatef, and Kollia applied the generalized Weibull distribution to model survival data.

In statisticsthe exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava as an extension of the Weibull family obtained by weibupl a second shape parameter. Later, the moments of the EW distribution were derived by Choudhury Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data.

Ricardo Barrios and Federico Dios Opt. Crevecoeur introduced it in assessing edponentiated reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates Login or Create Account. By using this site, you agree to the Terms of Use and Privacy Policy.

They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. Retrieved from ” exponentiaged Click here to learn more. Right click equation to reveal menu options.


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Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. 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. Express 20 18 Continuous distributions Survival analysis. 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. 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. 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.

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.

The cumulative distribution function for the exponentiated Weibull distribution is.