Fitting of the cumulative function for a distribution of statistic from the one-sample Anderson-Darling test

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Bogolyubov Institute for Theoretical Physics

Abstract

У цих тезах показано, що кумулятивна функція A1(z) з одновибіркового тесту Андерсона-Дарлінга може бути апроксимована із задовільною точністю кумулятивною функцією, що належить до узагальненої родини кумулятивних функцій спеціального виду. In these abstarct, it is shown that the cumulative function A1(z) from the one-sample Anderson-Darling test can be fitted with satisfactory accuracy by a cumulative function belonging to a generalized family of cumulative functions of a special form.

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Tuluchenko H. Ya. Fitting of the cumulative function for a distribution of statistic from the one-sample Anderson-Darling test / Tuluchenko Halyna // Bogolyubov Kyiv Conference Problems of Theoretical and Mathematical Physics : conf. materials dedicated to the 115th anniversary of M.M. Bogolyubov (1909–1992), September 24–26, 2024. – Kyiv: National Academy of Sciences of Ukraine, Institute of Mathematics, 2024. – 1 р.

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