[Home ] [Archive]   [ فارسی ]  
:: Main :: About :: Current Issue :: Archive :: Search :: Submit :: Contact ::
Main Menu
Journal Information::
Articles archive::
For Authors::
For Reviewers::
Ethics Considerations::
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.
Indexing and Abstracting

Social Media

Creative Commons License
This Journal is licensed under a Creative Commons Attribution NonCommercial 4.0
International License
(CC BY-NC 4.0).
Similarity Check Systems

:: Volume 11, Issue 2 (3-2018) ::
JSS 2018, 11(2): 285-295 Back to browse issues page
Size Biased Inflated Beta Distribution
Sayed Mohammad Reza Alavi * , Safura Alibabaie , Rahim Chinipardaz
Abstract:   (5910 Views)

The standard Beta distribution is a suitable distribution for modeling the data that include proportions. In many situations which the data of proportions include a considerable number of zeros and ones, the inflated beta distributions are more appropriate. When probabilities of recording such observations are proportional to a nonnegative weight function, the recorded observations distributed as a weighted inflated Beta. This article focuses on the size biased inflated Beta distribution as a special case of weighted inflated Beta distribution with the power weight function. Some properties of this distribution is studied and its parameters are estimated using maximum likelihood and method of moments approaches. The estimators are compared via a simulation study. Finally, the real mortality data set is fitted for this model.

Keywords: Beta Distribution, Inflated Beta Distribution, Weighted Distribution, Size Biased Inflated Beta Distribution.
Full-Text [PDF 208 kb]   (1243 Downloads)    
Type of Study: Research | Subject: Statistical Inference
Received: 2016/03/27 | Accepted: 2017/04/1 | Published: 2018/04/15
Send email to the article author

Add your comments about this article
Your username or Email:


XML   Persian Abstract   Print

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

Alavi S M R, Alibabaie S, Chinipardaz R. Size Biased Inflated Beta Distribution. JSS 2018; 11 (2) :285-295
URL: http://jss.irstat.ir/article-1-459-en.html

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 11, Issue 2 (3-2018) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

Persian site map - English site map - Created in 0.05 seconds with 45 queries by YEKTAWEB 4639