New Approaches on Parameter Estimation of the Gamma Distribution

Article Statistics & Probability

Goodness of fit tests of the two-parameter gamma distribution against the three-parameter generalized gamma distribution

Deniz Ozonur et al.

Summary: The aim of this paper is to develop tests of goodness of fit for the two parameter gamma distribution versus the three parameter gamma distribution. Various tests, including Wald, Score, likelihood ratio, and gradient tests, are developed and compared in terms of empirical size and power.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2022)

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Article Statistics & Probability

Properties and generation of representative points of the exponential distribution

Long-Hao Xu et al.

Summary: This paper investigates the representative points of the exponential distribution and introduces new interesting properties. A new algorithm is proposed for generating representative points effectively, and the performance of these points is evaluated.

STATISTICAL PAPERS (2022)

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Article Mathematics

Representative Points from a Mixture of Two Normal Distributions

Yinan Li et al.

Summary: This paper investigates the problem of discretizing a MixN using minimum mean squared error and provides an effective computational procedure. The study compares the proposed procedure with the k-means algorithm, demonstrating potential advantages of MSE-RPs in statistical inference.

MATHEMATICS (2022)

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Article Statistics & Probability

High Precision Numerical Computation of Principal Points for Univariate Distributions

Santanu Chakraborty et al.

Summary: In this paper, a high precision numerical method for calculating principal points and quantization errors of random variables is provided. The method is applied to different positive integer values of n for some absolutely continuous univariate distributions, with corresponding values of mean squared distances also given.

SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS (2021)

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Article Computer Science, Theory & Methods