2017
Том 69
№ 5

All Issues

On a measure of integral square deviation with generalized weight for the Rosenblatt–Parzen probability density estimator

Babilua P., Nadaraya E., Sokhadze G. A.

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Abstract

The limit distribution of an integral square deviation with weight in the form of “delta”-functions for the Rosenblatt–Parzen probability density estimator is determined. In addition, the limit power of the goodness-of-fit test constructed by using this deviation is investigated.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 4, pp 588-611.

Citation Example: Babilua P., Nadaraya E., Sokhadze G. A. On a measure of integral square deviation with generalized weight for the Rosenblatt–Parzen probability density estimator // Ukr. Mat. Zh. - 2010. - 62, № 4. - pp. 514–535.

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