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The beta (b5) distribution of Kind-5

G. S. David Sam Jayakumar & W. Samuel

Journal of Statistics and Management Systems2026https://doi.org/10.47974/jsms-1490article
ABDC C
Weight
0.50

What the paper says

This paper introduces a beta distribution (BD) of Kind-5 with its density function expressed in terms of Gauss hypergeometrric function. Key distributional properties including the cumulative distribution function and the mandatory constants such as central moments, non-central moments, skewness, kurtosis, log-geometric mean, Harmonic mean, Shannon’s differential entropy are thoroughly examined. Additionally, the moment, cumulant, characteristic functions are derived. Special cases are explored through transformations of beta kind-5 variable and parameter shifting. The paper also covers parameter estimation using the method of unconstrained maximum likelihood estimation, the construction of Fisher’s information matrix and a constrained maximum likelihood approach by using nonlinear programming with an illustrative application provided.

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https://doi.org/https://doi.org/10.47974/jsms-1490

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@article{g.2026,
  title        = {{The beta (b5) distribution of Kind-5}},
  author       = {G. S. David Sam Jayakumar & W. Samuel},
  journal      = {Journal of Statistics and Management Systems},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.47974/jsms-1490},
}

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The beta (b5) distribution of Kind-5

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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