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Generalized Mixtures of Exponential Distribution and Associated Inference

1
Department of Applied Mathematics, Xi’an University of Technology, Xi'an 710054, China
2
Department of Mathematical Sciences, Eastern New Mexico University, Portales, NM 88130, USA
3
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(12), 1371; https://doi.org/10.3390/math9121371
Received: 1 May 2021 / Revised: 31 May 2021 / Accepted: 10 June 2021 / Published: 13 June 2021
A new generalization of the exponential distribution, namely the generalized mixture of exponential distribution, is introduced. Some of its basic properties, such as hazard function, moments, order statistics, mean deviation, measures of uncertainly, and reliability probability, are studied. Three different estimation methods are investigated by the maximum likelihood estimator, least-square estimator, and weighted least-square estimator. The performances of the estimators are assessed by simulation studies. Real-world applications of the proposed distribution are explored, and data fitting results show that the new distribution performs better than its competitors. View Full-Text
Keywords: generalized mixture of exponential distribution; reliability probability; maximum likelihood estimator; weighted least-square estimator generalized mixture of exponential distribution; reliability probability; maximum likelihood estimator; weighted least-square estimator
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MDPI and ACS Style

Yang, Y.; Tian, W.; Tong, T. Generalized Mixtures of Exponential Distribution and Associated Inference. Mathematics 2021, 9, 1371. https://doi.org/10.3390/math9121371

AMA Style

Yang Y, Tian W, Tong T. Generalized Mixtures of Exponential Distribution and Associated Inference. Mathematics. 2021; 9(12):1371. https://doi.org/10.3390/math9121371

Chicago/Turabian Style

Yang, Yaoting, Weizhong Tian, and Tingting Tong. 2021. "Generalized Mixtures of Exponential Distribution and Associated Inference" Mathematics 9, no. 12: 1371. https://doi.org/10.3390/math9121371

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