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On a statistic for testing the homogeneity of polynomial samples
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17. April 2015
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.
Received: 2013-12-26
Published Online: 2015-4-17
Published in Print: 2015-4-1
© 2015 by Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Weighing algorithms of classification and identification of situations
- Arithmetic complexity of the Stirling transforms
- Asymptotics of the logarithm of the number of (k, l)-sum-free sets in an Abelian group
- Multiplicative complexity of some Boolean functions
- On a statistic for testing the homogeneity of polynomial samples
Schlagwörter für diesen Artikel
polynomial samples;
homogeneity test;
non-central chi-square distribution
Artikel in diesem Heft
- Frontmatter
- Weighing algorithms of classification and identification of situations
- Arithmetic complexity of the Stirling transforms
- Asymptotics of the logarithm of the number of (k, l)-sum-free sets in an Abelian group
- Multiplicative complexity of some Boolean functions
- On a statistic for testing the homogeneity of polynomial samples
