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Logarithmic modified gamma distribution and its application to disability data in Saudi Arabia [PDF]
Scientific ReportsThis study introduces the Logarithmic-Modified Gamma Distribution (LMGD), a flexible generalization of the classical Gamma distribution designed to effectively model skewed, asymmetric, and heavy-tailed disability data.
Laila A. AL-Essa +3 more
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Neutrosophic Design of the Exponential Model with Applications [PDF]
Neutrosophic Sets and Systems, 2022 Operations on neutrosophic numbers generalize operations on crisp numbers. In this way, the neutrosophic approach quantifies data ambiguity and enables the generalization of the existing statistical model.
Zahid Khan, Muhammad Gulistan
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This paper deals with the mathematical method for extracting the Exponential Rayleighh distribution based on mixed between the cumulative distribution function of Exponential distribution and the cumulative distribution function of Rayleigh ...
Lamyaa Khalid Hussein +2 more
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Some Applications of the Wright Function in Continuum Physics: A Survey
Mathematics, 2021 The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function
Yuriy Povstenko
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Progressively Censored N-H Exponential Distribution
Journal of Statistical Theory and Applications (JSTA), 2021 An extended version of exponential distribution is considered in this paper. This lifetime distribution has increasing, decreasing and constant hazard rates.
M. R. Mahmoud, R. M. Mandouh
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On Modifications of the Gamma Function by Using Mittag-Leffler Function
Journal of Mathematics, 2021 Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
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Fractional-Modified Bessel Function of the First Kind of Integer Order
Mathematics, 2023 The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
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A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
Journal of Statistical Theory and Applications (JSTA), 2017 Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
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A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution
Journal of Statistical Theory and Applications (JSTA), 2020 The inverse exponential distribution is widely used in the field of reliability. In this article, we present a generalization of the inverse exponential distribution in formation of Topp-Leone odd log-logistic inverse exponential distribution. We provide
Salman Abbas +4 more
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Generalized Mixtures of Exponential Distribution and Associated Inference
Mathematics, 2021 A new generalization of the exponential distribution, namely the generalized mixture of exponential distribution, is introduced. Some of its basic properties, such as hazard function, moments, order statistics, mean deviation, measures of uncertainly ...
Yaoting Yang +2 more
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