Truncated Weibull–exponential distribution: methods and applications

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作者
Salman Abbas
Muhammad Farooq
Jumanah Ahmed Darwish
Saman Hanif Shahbaz
Muhammad Qaiser Shahbaz
机构
[1] COMSATS University Islamabad,Department of Statistics
[2] Lahore Campus,Department of Mathematics and Statistics, College of Science
[3] University of Jeddah,Department of Statistics
[4] King Abdulaziz University,undefined
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This paper introduces a truncated Weibull-exponential distribution and provides a thorough insight into its mathematical characteristics. These characteristics include moments, generating functions, inverse distribution function, and entropy. Various measures are also discussed about the distribution's reliability. A simulation study is carried out to assess the stability and consistency of the maximum likelihood estimates of the parameters. Finally, two social sciences data sets are used to assess the distribution's relevance in modeling real-world situations.
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