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Asymptotic laws for stochastic disparity statistics

In: Tatra Mountains Mathematical Publications, vol. 26, no. 2
István Vajda
Detaily:
Rok, strany: 2003, 269 - 280
O článku:
This paper simplifies and clarifies the conditions of the famous theorem of Morris dealing with the asymptotic distribution of the Pearson goodness-of-fit statistic when the number of partition cells depends on sample size. The local character of alternatives implicitly required by the mentioned theorem is expressed explicitly, in terms of a Pearson distance between the hypothesis and alternative. Moreover, the paper extends the theorem of Morris to a wide class of disparity statistics by proving that appropriately standardized versions of these statistics and the Pearson statistic are asymptotically equivalent. The paper is restricted to the important particular case where the partition cells are equiprobable under the hypothesis.
Ako citovať:
ISO 690:
Vajda, I. 2003. Asymptotic laws for stochastic disparity statistics. In Tatra Mountains Mathematical Publications, vol. 26, no.2, pp. 269-280. 1210-3195.

APA:
Vajda, I. (2003). Asymptotic laws for stochastic disparity statistics. Tatra Mountains Mathematical Publications, 26(2), 269-280. 1210-3195.