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Statistica Neerlandica
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https://dx.doi.org/10.48550/ar...
Article . 2021
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Logistic or not Logistic?

Logistic or not logistic?
Authors: James S. Allison; Bruno Ebner; Marius Smuts;

Logistic or not Logistic?

Abstract

We propose a new class of goodness‐of‐fit tests for the logistic distribution based on a characterization related to the density approach in the context of Stein's method. This characterization‐based test is a first of its kind for the logistic distribution. The asymptotic null distribution of the test statistic is derived and it is shown that the test is consistent against fixed alternatives. The finite sample power performance of the newly proposed class of tests is compared to various existing tests by means of a Monte Carlo study. It is found that this new class of tests are especially powerful when the alternative distributions are heavy tailed, like Student's t and Cauchy, or for skew alternatives such as the log‐normal, gamma and chi‐square distributions.

Country
Germany
Keywords

ddc:510, 330, goodness-of-fit, Statistics, Mathematics - Statistics Theory, Statistics Theory (math.ST), Nonparametric inference, logistic distribution, 510, Primary 62G10, Secondary 62E10, FOS: Mathematics, density approach, empirical characteristic function, Stein's method, Statistical distribution theory, Mathematics, info:eu-repo/classification/ddc/510

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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
Green
hybrid