Exponentiated Generalized Exponential Distribution: Ordinary Differential Equations

Okagbue, Hilary I.; Oguntunde, Pelumi E.; Ugwoke, Paulinus O.; Opanuga, A. A.; Erondu, Ezinne C.

doi:10.1007/978-981-13-2191-7_24

Cited by 2 publications

(1 citation statement)

References 37 publications

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“…Okagbue et al 14 proposed an alternative to the approximations used in properties of statistical distributions. It was done by using the differential calculus to obtain some classes of ordinary differential equations for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the exponentiated generalized exponential distribution.…”

Section: Introductionmentioning

confidence: 99%

A review on recent generalizations of exponential distribution

Tomy¹,

Jose²,

Veena³

2020

BBIJ

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Kondo 1 as Pearson's type X distribution when the sampling of standard deviation was discussed.These distributions have been widely used to analyze lifetime data, on account of its analytical tractability, also used in physics, queueing theory, and hydrology, often used to model the reliability of electronic systems, which do not typically experience wear-out type failures. Exponential variables can also be used to model situations where certain events occur with a constant probability per unit length, such as the distance between mutations on a DNA strand, or between road kills on a given road.

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Section: Introductionmentioning

confidence: 99%

A review on recent generalizations of exponential distribution

Tomy¹,

Jose²,

Veena³

2020

BBIJ

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A new hybrid odd exponential-Φ family: Properties and applications

Mahdi,

Khaleel,

Gemeay

et al. 2024

AIP Advances

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The paper introduces the hybrid odd exponential-Φ (HOE-Φ) family, a novel framework for generating a continuous distribution characterized by an additional parameter. The extensive statistical properties of this family are derived and explored in detail. Parameter estimation is performed using the maximum likelihood estimation technique. The efficacy and versatility of the proposed model are demonstrated through a comparative analysis involving two distinct real-world datasets.

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Exponentiated Generalized Exponential Distribution: Ordinary Differential Equations

Cited by 2 publications

References 37 publications

A review on recent generalizations of exponential distribution

A review on recent generalizations of exponential distribution

A new hybrid odd exponential-Φ family: Properties and applications

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