The Truncated Power Lomax Distribution: Properties and Applications

Sirinapa ARYUYUEN; Winai BODHISUWAN

doi:10.48048/wjst.2019.4542

Authors

Sirinapa ARYUYUEN Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathum Thani 12110
Winai BODHISUWAN Department of Statistics, Faculty of Science, Kasetsart University, Bangkok 10900

DOI:

https://doi.org/10.48048/wjst.2019.4542

Keywords:

Truncated distribution, power Lomax, hazard function, truncated power Lomax, MLE

Abstract

A new truncated distribution, called the truncated power Lomax (TPL) distribution, is proposed. This is a truncated version of the power Lomax distribution. The TPL distribution has increasing and decreasing shapes of the hazard function. Some statistical properties, such as moments, survival, hazard, and quantile functions, are discussed. The maximum likelihood estimation (MLE) is constructed for estimating the unknown parameters of the TPL distribution. Moreover, the distribution has been fitted with real data sets to illustrate the usefulness of the proposed distribution. From the results of the example applications, the TPL distribution provides a consistently better fit than the other distributions, i.e., power Lomax and Lomax.

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Author Biographies

Sirinapa ARYUYUEN, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathum Thani 12110

Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Tathum Thani 12110, Thailand

Winai BODHISUWAN, Department of Statistics, Faculty of Science, Kasetsart University, Bangkok 10900

Department of Statistics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand

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