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Modified Burr Iii G Family of Distributions: Properties and Applications

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Author

Shahzadi Arifa

Program

PhD

Institute

National College of Business Administration and Economics

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Statistics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12806/1/Shahzadi_Arifa_Statistics_HSR_2016_NCBAE_Lahore_11.09.2018.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726664317

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We introduce a new three-parameter Modified Burr III G family of distributions. The proposed family is an extended and generalized family, of which some existing and new submodels are its limiting cases. The flexibility of the proposed family is fairly evident in the various shapes its density function accommodates. It can be symmetrical, left-skewed, right-skewed, bathtub, J or reversed-J. Its hazard rate can be increasing or decreasing, bathtub, upside-down bathtub, J and reversed-J, making it a suitable candidate for model fitting in biomedical, engineering, lifetime and survival studies. We have derived some of its structural properties and estimated its parameters using Maximum Likelihood Method. Taking Burr Type XII as a parent distribution we have studied its mathematical properties. A simulation study highlights the performance of the Maximum Likelihood Estimates. Two applications from life testing datasets elaborates its usefulness in model fitting.
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