A METHOD TO EXPAND FAMILY OF CONTINUOUS DISTRIBUTIONS BASED ON TRUNCATED DISTRIBUTIONS

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MAHDAVI ABBAS; SILVA GIOVANA OLIVEIRA

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Journal Paper

Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2017 | Volume:13 | Issue:2 Page(s): 231-247

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Information Journal Paper

Title

A METHOD TO EXPAND FAMILY OF CONTINUOUS DISTRIBUTIONS BASED ON TRUNCATED DISTRIBUTIONS

Author(s)

MAHDAVI ABBAS | SILVA GIOVANA OLIVEIRA | Issue Writer Certificate

Keywords

EXPONENTIAL DISTRIBUTION

HAZARD RATE FUNCTION

TRUNCATED EXPONENTIAL-EXPONENTIAL DISTRIBUTION

MAXIMUM-LIKELIHOOD ESTIMATION

SURVIVAL FUNCTION

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.

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APA: Copy

MAHDAVI, ABBAS, & SILVA, GIOVANA OLIVEIRA. (2017). A METHOD TO EXPAND FAMILY OF CONTINUOUS DISTRIBUTIONS BASED ON TRUNCATED DISTRIBUTIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 13(2), 231-247. SID. https://sid.ir/paper/688594/en

Vancouver: Copy

MAHDAVI ABBAS, SILVA GIOVANA OLIVEIRA. A METHOD TO EXPAND FAMILY OF CONTINUOUS DISTRIBUTIONS BASED ON TRUNCATED DISTRIBUTIONS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2017;13(2):231-247. Available from: https://sid.ir/paper/688594/en

IEEE: Copy

ABBAS MAHDAVI, and GIOVANA OLIVEIRA SILVA, “A METHOD TO EXPAND FAMILY OF CONTINUOUS DISTRIBUTIONS BASED ON TRUNCATED DISTRIBUTIONS,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 13, no. 2, pp. 231–247, 2017, [Online]. Available: https://sid.ir/paper/688594/en

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