A new extended cosine—G distributions for lifetime studies

M Muhammad, RAR Bantan, L Liu, C Chesneau… - Mathematics, 2021 - mdpi.com
In this article, we introduce a new extended cosine family of distributions. Some important
mathematical and statistical properties are studied, including asymptotic results, a quantile …

An extended cosine generalized family of distributions for reliability modeling: Characteristics and applications with simulation study

Z Mahmood, TM Jawa, N Sayed-Ahmed… - Mathematical …, 2022 - Wiley Online Library
An extension of the cosine generalized family is presented in this paper by using the cosine
trigonometric function and method of parameter induction concurrently. Prominent …

A new statistical methodology using the sine function: Control chart with an application to survival times data

M Kamal, GS Rao, MM Alsolmi, Z Ahmad, R Aldallal… - Plos one, 2023 - journals.plos.org
Statistical methodologies have a wider range of practical applications in every applied
sector including education, reliability, management, hydrology, and healthcare sciences …

Modeling to factor productivity of the United Kingdom food chain: Using a new lifetime-generated family of distributions

SA Alyami, I Elbatal, N Alotaibi, EM Almetwally… - Sustainability, 2022 - mdpi.com
This article proposes a new lifetime-generated family of distributions called the sine-
exponentiated Weibull-H (SEW-H) family, which is derived from two well-established …

Application of environmental data with new extension of Nadarajah-Haghighi distribution

EM Almetwally, MA Meraou - Computational Journal of …, 2022 - journals.ekb.eg
The sin extension of the exponential (SExEx) or sin Nadarajah-Haghighi (SNH) distribution,
a new extension of the exponential distribution with two parameters, is introduced and …

The Arctan‐X Family of Distributions: Properties, Simulation, and Applications to Actuarial Sciences

I Alkhairy, M Nagy, AH Muse, E Hussam - Complexity, 2021 - Wiley Online Library
The purpose of this paper is to investigate a new family of distributions based on an inverse
trigonometric function known as the arctangent function. In the context of actuarial science …

Beyond the Sin-G family: The transformed Sin-G family

F Jamal, C Chesneau, DL Bouali, M Ul Hassan - PLoS One, 2021 - journals.plos.org
In recent years, the trigonometric families of continuous distributions have found a place of
choice in the theory and practice of statistics, with the Sin-G family as leader. In this paper …

The exponentiated cotangent generalized distributions: Characteristics and applications patients of chemotherapy treatments data

YA Tashkandy, M Nagy, M Akbar, Z Mahmood… - IEEE …, 2023 - ieeexplore.ieee.org
Over the last several decades, many algebraic generalized families and classes of statistical
distributions have been developed. This research aims to construct a new cotangent …

[HTML][HTML] Introducing the new arcsine-generator distribution family: An in-depth exploration with an illustrative example of the inverse weibull distribution for analyzing …

TN Sindhu, A Shafiq, MB Riaz, TA Abushal… - Journal of Radiation …, 2024 - Elsevier
The study is about a novel Arcsin-function based generator of new families of distributions.
We chose the inverse Weibull distribution as the reference distribution to see if the generator …

[PDF][PDF] A review study on trigonometric transformations of statistical distributions

L Tomy, G Satish - Biom. Biostat. Int. J, 2021 - researchgate.net
For the past few years, various forms of statistical distributions based on trigonometrical
transformation were proposed by researchers to model data and thereby finding the suitable …