A Class of Weighted Weibull Distributions and Its Properties

Mervat Mahdy

Abstract


The Weibull distribution is a well known and common distribution. In this article, a skewness parameter to a Weibull distribution is introduced using an idea of Azzalini, which creates a new class of weighted Weibull distributions. This new distribution has a probability density function with skewness representing a general case of weighted probability density function of the Extreme value distribution, the Rayleigh distribution and Exponential distribution. Different properties of this new distribution are discussed and the inference of the old parameters and the skewness parameter is studied.

Keywords


Hazard function; Moment generating function; Truncated distribution; Weighted gamma distribution; Selection model; Constrained normal mean vector; Probabilistic representation

Full Text:

PDF


DOI: http://dx.doi.org/10.3968%2Fj.sms.1923845220130601.1065

Refbacks

  • There are currently no refbacks.


Reminder

If you have already registered in Journal A and plan to submit article(s) to Journal B, please click the CATEGORIES, or JOURNALS A-Z on the right side of the "HOME".


We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; sms@cscanada.net; sms@cscanada.org

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures
Address: 758, 77e AV, Laval, Quebec, H7V 4A8, Canada

Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:caooc@hotmail.com