What question did this study set out to answer?

The aim is to propose a method for computing ordinary moments of the noncentral chi-squared distribution effectively.

July 30, 2026Communications in Statistics - Simulation and Computation

On the moments of noncentral chi-squared distribution

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RCRajan ChattamvelliData Management (Italy)

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Implication

Proposes a new method to compute moments and CDF for noncentral chi-squared distributions, improving accuracy particularly with small noncentrality parameters.

Key Points

The aim is to propose a method for computing ordinary moments of the noncentral chi-squared distribution effectively.
Utilizes recurrence relations to compute higher-order moments from lower-order ones.
Applies findings from previous works by Cameron and Ashour & Abdel-Samad for improved moment approximations.
Develops a generalized Laguerre polynomial representation for the moments.
Presents a novel method for calculating moments that provides reasonable approximations for small noncentrality parameters.
Demonstrates the efficacy of the alternate method in improving CDF approximations.

Cite This Study

Rajan Chattamvelli (2026) studied this question.

synapsesocial.com/papers/6a6af4d560e2b924d3ea045a https://doi.org/10.1080/03610918.2026.2704715

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Implication

Proposes a new method to compute moments and CDF for noncentral chi-squared distributions, improving accuracy particularly with small noncentrality parameters.

On the moments of noncentral chi-squared distribution

Discussion

Member takes

Implication

Key Points

Cite This Study

On the moments of noncentral chi-squared distribution

Discussion

Member takes

Implication

Key Points

Cite This Study

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