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Regular version of the site

Article

Goodness-of-Fit Tests Based on a Characterization of Logistic Distribution

Vestnik of the St. Petersburg University: Mathematics. 2019. Vol. 52. No. 2. P. 169-177.
Nikitin Y. Y., Ragozin I. A.

The logistic family of distributions belongs to the class of important families in the theory of probability and mathematical statistics. However, the goodness-of-fit tests for the composite hypothesis of belonging to the logistic family with unknown location parameter against the general alternatives have not been sufficiently explored. We propose two new goodness-of-fit tests: the integral and the Kolmogorov-type, based on the recent characterization of the logistic family by Hua and Lin. Here we discuss asymptotic properties of new tests and calculate their Bahadur efficiency for common alternatives.