[Home ] [Archive]   [ فارسی ]  
:: Main :: About :: Current Issue :: Archive :: Search :: Submit :: Contact ::
Main Menu
Home::
Journal Information::
Articles archive::
For Authors::
For Reviewers::
Registration::
Contact us::
Site Facilities::
::
Search in website

Advanced Search
..
Receive site information
Enter your Email in the following box to receive the site news and information.
..
:: Volume 19, Issue 2 (2-2015) ::
Andishe 2015, 19(2): 1-21 Back to browse issues page
Generalized Birnbaum-Saunders Distribution
Zeynab Aghabazaz * , Mohammad Hossein Alamatsaz
Abstract:   (6338 Views)

The two-parameter Birnbaum–Saunders (BS) distribution was originally proposed as a failure time distribution
for fatigue failure caused under cyclic loading. BS model is a positively skewed statistical distribution which has
received great attention in recent decades. Several extensions of this distribution with various degrees of skewness,
kurtosis and modality are considered. In particular, a generalized version of this model was derived based on symmetrical
distributions in the real line named the generalized BS (GBS) distribution. In this article, we propose a
new family of life distributions, generated from elliptically contoured distributions, and the density and some of its
properties are obtained. Explicit expressions for the density of a number of specific elliptical distributions, such as
Pearson type VII, t, Cauchy, Kotz type, normal, Laplace and logistic are found. Another generalization of the BS
distribution is also presented using skew-elliptical distribution which makes its symmetry more flexible. Finally,
some examples are provided to illustrate application of the distribution.

Keywords: Fatigue Life, Skewness, Kurtosis, Modality, Elliptical contoured distribution, Skew-Elliptical distributions.
Full-Text [PDF 753 kb]   (3079 Downloads)    
Type of Study: Research | Subject: Special
Received: 2012/12/8 | Accepted: 2015/05/12 | Published: 2016/01/25
Send email to the article author

Add your comments about this article
Your username or Email:

CAPTCHA


XML   Persian Abstract   Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Aghabazaz Z, Alamatsaz M H. Generalized Birnbaum-Saunders Distribution. Andishe 2015; 19 (2) :1-21
URL: http://andisheyeamari.irstat.ir/article-1-206-en.html


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 19, Issue 2 (2-2015) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
Persian site map - English site map - Created in 0.05 seconds with 35 queries by YEKTAWEB 4700