α-Power transformed transformed power function distribution with applications
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Updated: Oct 17, 2025

A 100 KW Class Applied-field Magnetoplasmadynamic Thruster
Published on: December 22, 2018
Idika E Okorie1, Johnson Ohakwe2, Bright O Osu3
1Department of Mathematics, Khalifa University, P.O. Box 127788, Abu Dhabi, United Arab Emirates.
Abstract:
By standard transformation of a random variable, we obtained a partially bounded one-parameter version of the bounded three-parameter power function distribution by Saran and Pandey (2004) which we called the Transformed Power Function (TPF) distribution and based on an alpha-power transformation method due to Mahdavi and Kundu (2017) we generalized the TPF distribution as the α-Power Transformed Transformed Power Function (αPTTPF) distribution. Some of the properties of the αPTTPF distribution are given, and we approached the parameter estimation by three methods, namely: maximum likelihood, ordinary least-squares, and weighted least-squares, but after comparing the results from a simulation study, we settled for the maximum likelihood. The new distribution is suitable for modeling data with either decreasing or upside-down bathtub hazard rates. Three real data-sets are used to demonstrate the usefulness of the new model.
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