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Central limit theorem for random fields and applicationsстатья
- Автор: Bulinski A.V.
- Сборник: Advances in Data Analysis. Theory and Applications to Reliability and Inference, Data Minins, Bioinformatics, Lifetime Data, and Neural Networks
- Серия: Statistics for Industry and Technology
- Том: 24
- Год издания: 2010
- Издательство: Birkhauser
- Местоположение издательства: Basel, Switzerland
- Первая страница: 141
- Последняя страница: 150
- DOI: 10.1007/978-0-8176-4799-5
- Аннотация: A new variant of the CLT is established for random fields defined on R^d which are strictly stationary, with a finite second moment and weakly dependent (comprising cases of positive and negative association). The summation domains grow in the van Hove sense. At the same time indices of observations form more and more dense grids in these domains. Thus the effect of combining two scaling procedures is studied. A statistical version of this CLT is also proved. Some stochastic modeles in radiobiology based on dependent functional subunits are discussed as well.
- Добавил в систему: Булинский Александр Вадимович