both Weibull and Exponentiated Weibull distributions are presented in this paper. In this paper, we have described the Exponentiated Weibull distribution with. Apr 3, Exponentiated Weibull. Distribution. Jilesh V “Some generalizations of exponential distribution and related time series models ” Thesis. Aug 2, A review is given of the exponentiated Weibull distribution, the first generalization of the two-parameter Weibull distribution to accommodate.

Author: Mecage Akinogor
Country: Dominica
Language: English (Spanish)
Genre: Environment
Published (Last): 24 June 2014
Pages: 93
PDF File Size: 4.11 Mb
ePub File Size: 3.24 Mb
ISBN: 548-6-99660-577-1
Downloads: 64921
Price: Free* [*Free Regsitration Required]
Uploader: Juramar

Citing articles from OSA journals and other participating publishers are listed here. Optics Express Andrew M. 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.

The probability density function and cumulative distribution function of the Exponentiated Weibull distribution are respectively given by: 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.

Right click equation to reveal menu options. 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. Views Read Edit View history. OSA will be closed for the holidays from 21 December Benford Bernoulli beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher soliton discrete uniform Zipf Zipf—Mandelbrot. The hazard function of the Exponentiated Weibull distribution can capture the basic shapes: Log-location-scale-log-concave distributions for survival and reliability analysis.


The Exponentiated Weibull distribution The Exponentiated Weibull distribution is a generalisation of the Weibull distribution which is obtained by exponentiating the Weibull cumulative distribution function.

The Exponentiated Weibull distribution

Mudholkar and Hutson applied the exponentiated Weibull distribution to extreme value data. Login or Create Account.

Continuous distributions Survival analysis. Express 20 They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. Ricardo Barrios and Federico Dios Opt.

Retrieved from ” https: Express 22 17 Click here to see a list of articles that cite this paper. Privacy Terms of Use.

The Exponentiated Weibull distribution

The Exponentiated Weibull distribution F. Password Forgot your password?

Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates By using this site, you agree to the Terms of Use and Privacy Policy. 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.

February 2, Revised Manuscript: Javier Rubio 27 June The Exponentiated Weibull distribution is a generalisation of the Weibull distribution which is obtained by exponentiating the Weibull cumulative distribution function. If you require urgent assistance, please contact Customer Service.

A similar distribution was introduced in by Zacks, called a Weibull-exponential distribution Zacks Express 20 18 Please login to set citation alerts. March 28, Manuscript Accepted: Click here to learn more. The exponentiated exponential distribution proposed by Gupta and Kunduis a special case of the exponentiated Weibull family. Mudholkar, Srivastava, and FreimerMudholkar and Hutson and Nassar and Eissa studied various properties of the exponentiated Weibull distribution.


Alert me when this article is cited. A comparison of the generalized gamma and exponentiated Weibull distributions. By continuing to use this site, you agree to our use of cookies. We’ve also updated our Privacy Notice. 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 type-1 Gumbel Tracy—Widom variance-gamma Voigt.

Click here to see what’s new. The cumulative distribution function for the exponentiated Weibull distribution is.

Optics Express

Degenerate Dirac delta function Singular Cantor. Woo studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. 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.

Equations 13 Equations on this page are rendered with MathJax.