Аннотация:
Рассматривается задача одновременного обнаружения и оценивания в последовательной постановке. В частности, нас интересуют последовательные тесты, различающие нулевую и альтернативную гипотезы и дающие — всякий раз, когда принимается решение в пользу альтернативной гипотезы, — оценку случайного параметра. Наш анализ показывает, что раздельное рассмотрение двух подзадач с соответствующими оптимальными стратегиями не приводит к наилучшему возможному результату. Чтобы добиться оптимальности, нужно принимать в расчет оптимальную оценку на стадии проверки гипотез.
Ключевые слова:
последовательный анализ, одновременное обнаружение и оценивание.
Образец цитирования:
Y. Yilmaz, G. Moustakides, X. Wang, “Sequential joint detection and estimation”, Теория вероятн. и ее примен., 59:3 (2014), 562–578; Theory Probab. Appl., 59:3 (2015), 452–465
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\jour Теория вероятн. и ее примен.
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\jour Theory Probab. Appl.
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tvp4583
https://doi.org/10.4213/tvp4583
https://www.mathnet.ru/rus/tvp/v59/i3/p562
Эта публикация цитируется в следующих 20 статьяx:
Dominik Reinhard, Michael Fauß, Abdelhak M. Zoubir, “Asymptotically optimal procedures for sequential joint detection and estimation”, Signal Processing, 219 (2024), 109410
Jilong Lyu, Enbin Song, Zhi Li, Jinming Liu, Yiguang Liu, Juping Gu, Qingjiang Shi, “Sequential Joint Detection and Estimation: Optimal Average Stopping Time”, IEEE Trans. Signal Process., 72 (2024), 2560
Dominik Reinhard, Michael Fauß, Abdelhak M. Zoubir, “Bayesian sequential joint detection and estimation under multiple hypotheses”, Sequential Analysis, 41:2 (2022), 143
Reinhard D., Fauss M., Zoubir A.M., “An Asymptotically Pointwise Optimal Procedure For Sequential Joint Detection and Estimation”, 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (Icassp 2021), IEEE, 2021, 5020–5024
Dominik Reinhard, Abdelhak M. Zoubir, 2020 28th European Signal Processing Conference (EUSIPCO), 2021, 2438
Reinhard D., Fauss M., Zoubir A.M., “Sequential Joint Detection and Estimation With An Application to Joint Symbol Decoding and Noise Power Estimation”, 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, International Conference on Acoustics Speech and Signal Processing Icassp, IEEE, 2020, 5370–5374
Reinhard D., Fauss M., Zoubir A.M., “Distributed Joint Detection and Estimation: a Sequential Approach”, 2020 54Th Annual Conference on Information Sciences and Systems (Ciss), IEEE, 2020, 126–131
Reinhard D., Zoubir A.M., “Distributed Sequential Joint Detection and Estimation For Non-Gaussian Noise”, 28Th European Signal Processing Conference (Eusipco 2020), European Signal Processing Conference, IEEE, 2020, 2438–2442
Dominik Reinhard, Michael Faus, Abdelhak M. Zoubir, ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020, 5370
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