DOAJ Open Access 2022

MULTIPLICATIVE UNION OF LEGENDRE POLYNOMIALS WITH THE CLASSICAL VASICEK STATISTICAL TEST FOR TESTING HYPOTHESES OF UNIFORMITY OR NORMALITY OF SMALL SAMPLE DATA DISTRIBUTIONS

A.I. Ivanov A.V. Bezyaev A.Yu. Malygin E.N. Kupriyanov

DOI

Abstrak

Background. In the last century, about 20 statistical criteria for testing the hypothesis of normal distribution of data and about 20 statistical criteria for testing the hypothesis of uniform distribution of data were created. The article considers a method for synthesizing new statistical criteria by multiplying or dividing their output states. Materials and methods. It is proposed to multiply (divide) the response of the classical almost orthogonal Legendre polynomial to the response of the classical Vasicek statistical test. Results and conclusions. It is shown that the proposed procedures allow two new strong statistical tests to be combined with the Vasicek test. The result is a binary output code with threefold redundancy. Code redundancy folding reduces the probability of occurrence of errors of the first and second kind by 5 times.

Topik & Kata Kunci

Motor vehicles. Aeronautics. Astronautics

Penulis (4)

A.I. Ivanov

A.V. Bezyaev

A.Yu. Malygin

E.N. Kupriyanov

Format Sitasi

APA MLA BibTeX

Ivanov, A., Bezyaev, A., Malygin, A., Kupriyanov, E. (2022). MULTIPLICATIVE UNION OF LEGENDRE POLYNOMIALS WITH THE CLASSICAL VASICEK STATISTICAL TEST FOR TESTING HYPOTHESES OF UNIFORMITY OR NORMALITY OF SMALL SAMPLE DATA DISTRIBUTIONS. https://doi.org/10.21685/2307-4205-2022-2-1

Akses Cepat

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doi.org/10.21685/2307-4205-2022-2-1

Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.21685/2307-4205-2022-2-1
Akses: Open Access ✓