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Городской семинар по теории вероятностей и математической статистике
29 апреля 2011 г. 18:00, г. Санкт-Петербург, ПОМИ, ауд. 311 (наб. р. Фонтанки, 27)
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A central limit theorem for the volume of the excursion sets of associated stochastically continuous stationary random fields
W. Karcher |
Количество просмотров: |
Эта страница: | 152 |
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Аннотация:
In [1], the multivariate central limit theorem (CLT) for the volumes of excursion sets of stationary quasi-associated random fields on $\mathbb R^d$ is proved. We extend their results by considering associated stochastically continuous stationary random fields which need not necessarily have second moments. Based on the CLT, we construct a statistical hypothesis test and provide simple conditions on the tail behavior of the kernel functions for certain max-stable and sum-stable random fields with spectral representation such that the assumptions of the CLT are satisfied.
[1] Bulinski, A., Spodarev, E. and Timmermann, F., Central limit theorems for the excursion sets volumes of weakly dependent random fields, accepted at Bernoulli, 2010.
Язык доклада: английский
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