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Journal of Statistical Theory and Applications (JSTA)
Article . 2013 . Peer-reviewed
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Article . 2020
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On Approximating the Distribution of Quadratic Forms in Gamma Random Variables and Exponential Order Statistics

Authors: A. Akbar Mohsenipour; Serge B. Provost;

On Approximating the Distribution of Quadratic Forms in Gamma Random Variables and Exponential Order Statistics

Abstract

This paper proposes a moment-based approximation to the distribution of quadratic forms in gamma random variables. Quadratic forms in order statistics from an exponential population are considered as well. Actually,several test statistics can be expressed in terms of the latter. The density approximants are expressible as the product of a gamma type distributed base density function and a polynomial adjustment. Several illustrative examples are provided.

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Keywords

Moments, Density approximation., Generalized gamma distribution, Quadratic forms, Exponential random variables, Probabilities. Mathematical statistics, QA273-280, Order statistics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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