JOURNAL ARTICLE

Moment Generating Functions of Some Continuous Distributions

Professor Manindra Kumar Roy, PhD

Year: 2025 Journal:   Zenodo (CERN European Organization for Nuclear Research)   Publisher: European Organization for Nuclear Research

Abstract

In this paper, moment generating functions of some continuous distributions, viz., Student's t. F, Pareto, Noncentral t, Noncentral F, Beta and Lognormal distributions have been developed in a very simple forms from which moments of these distributions can be derived easily.

Keywords:
Moment (physics) Simple (philosophy) Log-normal distribution Distribution (mathematics) Moment-generating function Probability distribution Probability-generating function Probability density function K-distribution

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