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September 10, 2025FilomatOpen Access

Certain mathematical formulas for moments of Geometric distribution by means of the Apostol-Bernoulli polynomials

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BŞBuket ŞimşekAkdeniz University

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Implication

This research presents new formulas for moments and factorial moments of geometric distribution, suggesting efficient computational methods through special functions.

Key Points

New formulas derived for higher order moments of geometric distribution simplify computations.
Factorial moments and z-transform techniques lead to alternative methods for calculating complex statistical values.
Linking newly derived formulas to stirling numbers and other special functions enhances theoretical understanding.
The study addresses challenges faced by statisticians in computing higher order moments effectively.

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Buket Şimşek (2025) studied this question.

synapsesocial.com/papers/68c1c62654b1d3bfb60f1aae https://doi.org/10.2298/fil2506843s

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Implication

This research presents new formulas for moments and factorial moments of geometric distribution, suggesting efficient computational methods through special functions.

Certain mathematical formulas for moments of Geometric distribution by means of the Apostol-Bernoulli polynomials

Discussion

Member takes

Implication

Key Points

Cite This Study

Certain mathematical formulas for moments of Geometric distribution by means of the Apostol-Bernoulli polynomials

Discussion

Member takes

Implication

Key Points

Cite This Study

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