An Accurate Approximation to 3-Parameter Weibull Sum Distribution
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2013, Vol 4, Issue 6
Abstract
Sum of 3-parameter Weibull is used in communications systems engineering, in reliability engineering and failure analysis. Unfortunately, closed form expressions do not exist for the distribution of 3-parameter Weibull sum. So far no approaches have been proposed for approximation of 3-parameter Weibull sum. An accurate approximation to Rayleigh (2-parameter Weibull with shape parameter equal two) sum is proposed by Jeremiah and Beaulieu, and a simple precise approximation to 2-parameter Weibull sum based on general Gamma distribution is proposed, but this approximation cannot be generalized to a 3-parameter Weibull distribution. In this letter, we present an accurate approximation to a 3-parameter Weibull sum distribution that is based on Generalized Extreme Value (type ) RV.
Authors and Affiliations
H. Samimi| Department of Statistics, Faculty of Mathematical, University of Guilan, Rasht, Iran, M. Akbari| Department of Statistics, Faculty of Mathematical, University of Guilan, Rasht, Iran
Keywords
Related Articles
- EP ID EP5499
- DOI -
- Views 347
- Downloads 13
Analysis of historical value and Fiction Elements in Salamanand Absal by Abdolrahman Jami
Several lyricpoems collections, especially the mystic ones, might be found in Persian literature history whose original stories are non-native and are rooted in foreign cultures and nations. One of the most well-known ca...
Relationship between visual perception and reading disability in primary students (first, second, third, grade) of Ahwaz city
This study was done to determine the relationship between visual perception and reading disability in primary students (first, second, third, grade ) of Ahwaz city . Form the total population of students with reading dis...
The effects of fulvic acid and sugar cane molasses on yield and qualities of tomato
To study the effects of molasses and Fulvic acid extracted from sugar beet molasses in the cultivation of Nunhemz tomato varieties, a factorial experiment in a completely randomized design with three replications in gree...
Examination of storyfactors (character, content, space) in Sovashoon and Da stories
In contemporaryliterature, some expanded events, such as foreigners’ influence, Islamic revolution and our imposed war overshadowed the thoughts of those writers of the first generation of the revolution and led to creat...
Some Notes on Matrix of Generalized Quaternion
After a review of some fundamental properties of generalized quaternions, the Euler's and De Moivre's formulas for the matrices associated with these quaternions are studied. With the aid of De Moivre's formula, we obtai...