Semi Modified Alpha Power Weibull Distribution And Its Statistical Properties

Authors

  • Sumayyia Azam, Dr. Muhammad Iqbal, Qamruz Zaman, Dr. Muhammad Ali

DOI:

https://doi.org/10.63278/mme.v31i2.1787

Keywords:

Probability Distribution, Weibull Distribution, Alpha Power, Median, Statistical Properties.

Abstract

A new probability distribution is developed in this study by adding an extra parameter to the existing Alpha power modified transformation technique. The proposed study employed Weibull distribution as a baseline to the new probability generator called Semi Modified Alpha Power Weibull Distribution (SMAPWD). Several important statistical properties were developed for the new distribution such as, quantile function, median, mode, order statistics, rth moments and MGF. Maximum likelihood function estimation method was used to derive the estimates of the parameters. Two real data sets were applied to the proposed distribution and have a better fit as compare to the class of other distributions.

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Published

2025-02-02

How to Cite

Sumayyia Azam, Dr. Muhammad Iqbal, Qamruz Zaman, Dr. Muhammad Ali. 2025. “Semi Modified Alpha Power Weibull Distribution And Its Statistical Properties”. Metallurgical and Materials Engineering 31 (2):104-13. https://doi.org/10.63278/mme.v31i2.1787.

Issue

Vol. 31 No. 2 (2025)

Section

Research

License

Copyright (c) 2025 Sumayyia Azam, Dr. Muhammad Iqbal, Qamruz Zaman, Dr. Muhammad Ali

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