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JSRI 2017, 13(2): 231-247 Back to browse issues page
A Method to Expand Family of Continuous Distributions based on Truncated Distributions
Abbas Mahdavi *, Giovana Oliveira Silva
Abstract:   (398 Views)

 Abstract: A new method to generate various family of distributions is introduced. This method introduces a new two-parameter extension of the exponential distribution to illustrate its application. Some statistical and reliability properties of the new distribution, including explicit expressions for the moments, quantiles, mode, moment generating function, mean residual lifetime, stochastic orders, order statistics and some entropies are discussed. Maximum likelihood method is used to estimate the unknown parameters and the Fisher information matrix is given. The obtained results are validated using a real data set and it is shown that the new family provides a better fit than some other known distributions.

Keywords: Exponential distribution, hazard rate function, truncated exponential-exponential distribution, maximum-likelihood estimation, survival function.
Full-Text [PDF 213 kb]   (128 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/10/5 | Accepted: 2017/03/15 | Published: 2017/06/11
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DOI: 10.18869/acadpub.jsri.13.2.231

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Mahdavi A, Oliveira Silva G. A Method to Expand Family of Continuous Distributions based on Truncated Distributions. JSRI. 2017; 13 (2) :231-247
URL: http://jsri.srtc.ac.ir/article-1-238-en.html
Volume 13, Number 2 (3-2017) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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