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- Title
On a statistic for testing the homogeneity of polynomial samples.
- Authors
Zubkov, Andrey M.; Selivanov, Boris I.
- Abstract
We consider M ≥ 2 independent polynomial samples with N outcomes. For the case when M and N are fixed but sizes of samples tend to infinity we find limit distributions of a new statistic σ2: chi-square distribution with (M−1)(N−1) degrees of freedom if samples are statistically homogeneous, non-central chisquare distribution with the same number of degrees of freedom if samples are «convergent» to homogeneous ones, and normal distribution if samples are statistically nonhomogeneous.
- Subjects
POLYNOMIALS; CHI-squared test; ASYMPTOTIC efficiencies; ALGEBRA
- Publication
Discrete Mathematics & Applications, 2015, Vol 25, Issue 2, p109
- ISSN
0924-9265
- Publication type
Article
- DOI
10.1515/dma-2015-0011