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Generalized Alpha Power Transformed Truncated Lomax Distribution with Application |
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PP: 99-114 |
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doi:10.18576/jsap/140108
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Author(s) |
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El-Sayed A. El-Sherpieny,
Hossam K. Hwas,
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Abstract |
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| In this article, a new generalization of the truncated Lomax (TLo) distribution, which called the generalized alpha power transformed truncated Lomax (GAPTTLo) distribution is studied and discussed. The probability density function (PDF) of the GAPTTLo distribution is either declining, unimodal, or right skewed. The hazard rate function (HRF) of the GAPTTLo distribution, may be decreasing or bathtub shaped. Several statistical features such as, quantile function, median, moments, moment generating function, and order statistics. The three unknown parameters for the GAPTTLo distribution are estimated utilizing the maximum likelihood approach of estimation. An investigation into simulation is carried out in order to determine the most effective method of estimation. In addition, we study two real-world data sets using the GAPTTLo distribution, demonstrating that it displays superior performance in comparison to some of its competitors. |
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