New Lifetime Alpha Power Rayleigh Weibull Distribution: Structure and Properties

Authors

Zainab Ali Ahmed Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq. https://orcid.org/0009-0005-0107-3054
Ali Talib Mohammed Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq. https://orcid.org/0000-0003-0235-2352
Aytekin Enver Department of Mathematics, Gazi University, Teknikokullar, Ankara, Türkiye. https://orcid.org/0000-0001-6013-0323

DOI:

https://doi.org/10.30526/38.4.4065

Keywords:

alpha-power family, Rayleigh Weibull distribution, survival function, moments about the origin, moment generating function

Abstract

Alpha power transformation family distributions (APT) are considered one of the modern transformations that have received the attention of researchers in the past decade and are concerned with adding a shape parameter. Based on APT, this paper proposes a new distribution by adding a new parameter to the two-parameter Rayleigh Weibull distribution, a new continuous distribution called alpha power Rayleigh Weibull distribution (APRWD) including three parameters where ρ is known as shape parameter and ɑ, δ as scale parameters. This paper also includes a presentation of the mathematical construction of the basic statistical functions: cumulative, probability density, survival, and hazard functions. We also include an expansion of the cumulative and probability density functions to use them in investigating and finding several mathematical statistical properties of (APRWD) such as moments, skewness, Kurtosis, moment generating, characteristics, mode, quantile, and factorial moments generating functions

Author Biographies

Zainab Ali Ahmed, Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq.

math
Ali Talib Mohammed, Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq.

math
Aytekin Enver, Department of Mathematics, Gazi University, Teknikokullar, Ankara, Türkiye.

Department of Mathematics, Gazi University, Teknikokullar, Ankara, Türkiye.

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