Displaying similar documents to “On dimensioning of samples in testing hypotheses”

On the optimal number of classes in the Pearson goodness-of-fit tests

Domingo Morales, Leandro Pardo, Igor Vajda (2005)

Kybernetika

Similarity:

An asymptotic local power of Pearson chi-squared tests is considered, based on convex mixtures of the null densities with fixed alternative densities when the mixtures tend to the null densities for sample sizes n → ∞ . This local power is used to compare the tests with fixed partitions 𝒫 of the observation space of small partition sizes | 𝒫 | with the tests whose partitions 𝒫 = 𝒫 n depend on n and the partition sizes | 𝒫 n | tend to infinity for n → ∞ . New conditions are presented under which it is asymptotically...

Exponential rates for the error probabilities in selection procedures

Friedrich Liese, Klaus J. Miescke (1999)

Kybernetika

Similarity:

For a sequence of statistical experiments with a finite parameter set the asymptotic behavior of the maximum risk is studied for the problem of classification into disjoint subsets. The exponential rates of the optimal decision rule is determined and expressed in terms of the normalized limit of moment generating functions of likelihood ratios. Necessary and sufficient conditions for the existence of adaptive classification rules in the sense of Rukhin [Ru1] are given. The results are...