Аннотация:
В работе найдены асимптотически оптимальные процедуры в классической задаче о разладке в предположении, что момент разладки,
являющийся неизвестным параметром, неограниченно возрастает.
Ключевые слова:
задача о разладке, асимптотически оптимальные правила, асимптотически однородные правила.
Образец цитирования:
А. А. Боровков, “Асимптотически оптимальные решения в задаче о разладке”, Теория вероятн. и ее примен., 43:4 (1998), 625–654; Theory Probab. Appl., 43:4 (1999), 539–561
\RBibitem{Bor98}
\by А.~А.~Боровков
\paper Асимптотически оптимальные решения в~задаче о~разладке
\jour Теория вероятн. и ее примен.
\yr 1998
\vol 43
\issue 4
\pages 625--654
\mathnet{http://mi.mathnet.ru/tvp2013}
\crossref{https://doi.org/10.4213/tvp2013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692429}
\zmath{https://zbmath.org/?q=an:0942.62093}
\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 4
\pages 539--561
\crossref{https://doi.org/10.1137/S0040585X97977112}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085137600002}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tvp2013
https://doi.org/10.4213/tvp2013
https://www.mathnet.ru/rus/tvp/v43/i4/p625
Эта публикация цитируется в следующих 36 статьяx:
Mohammad Esmail Dehghan Monfared, “Exact distribution of change-point MLE for a Multivariate normal sequence”, Stat Papers, 2024
Yi Wu, Wei Wang, Shipeng Wu, Xuejun Wang, “The weighted sum of powers in mean for estimating a change point in linear processes with random coefficients”, Journal of Applied Statistics, 2024, 1
Fotopoulos S.B., Paparas A., Jandhyala V.K., “Change Point Detection and Estimation Methods Under Gamma Series of Observations”, Stat. Pap., 63:3 (2022), 723–754
Chan N.H., Ng W.L., Yau Ch.Y., Yu H., “Optimal Change-Point Estimation in Time Series”, Ann. Stat., 49:4 (2021), 2336–2355
Nitzan E., Halme T., Poor H.V., Koivunen V., “Deterministic Multiple Change-Point Detection With Limited Communication”, 2020 54Th Annual Conference on Information Sciences and Systems (Ciss), IEEE, 2020, 162–167
Chen J., Zhang W., Poor H.V., “Non-Bayesian Multiple Change-Point Detection Controlling False Discovery Rate”, 2016 IEEE International Symposium on Information Theory, IEEE International Symposium on Information Theory, IEEE, 2016, 31–35
Jie Chen, Wenyi Zhang, H. Vincent Poor, 2016 IEEE International Symposium on Information Theory (ISIT), 2016, 31
Jandhyala V.K., Liu P., Fotopoulos S.B., MacNeill I.B., “Change-Point Analysis of Polar Zone Radiosonde Temperature Data”, J. Appl. Meteorol. Climatol., 53:3 (2014), 694–714
Jandhyala V., Fotopoulos S., MacNeill I., Liu P., “Inference for Single and Multiple Change-Points in Time Series”, J. Time Ser. Anal., 34:4 (2013), 423–446
Venkata Jandhyala, Stergios Fotopoulos, Ian MacNeill, Pengyu Liu, “Inference for single and multiple change-points in time series”, J. Time Ser. Anal., 2013, n/a
Fotopoulos S.B., Jandhyala V.K., Khapalova E.A., “Change-point mle in the rate of exponential sequences with application to Indonesian seismological data”, J Statist Plann Inference, 141:1 (2011), 220–234
Б. С. Дарховский, “Задача о неопределенной «разладке» случайной последовательности”, Теория вероятн. и ее примен., 56:1 (2011), 30–46; B. S. Darhovsky, “Uncertain change-point problem for random sequence”, Theory Probab. Appl., 56:1 (2012), 44–56
Gurevich G., Hadad Y., Ofir A., Ohayon B., “Statistical Analysis of Temperature Changes in Israel: An Application of Change Point Detection and Estimation Techniques”, Global Nest Journal, 13:3 (2011), 215–228
М. И. Тихомирова, В. П. Чистяков, “О свойствах функции правдоподобия в задаче оценки моментов изменения вероятности успеха в неоднородных испытаниях Бернулли”, Дискрет. матем., 22:2 (2010), 60–65; M. I. Tikhomirova, V. P. Chistyakov, “On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials”, Discrete Math. Appl., 20:2 (2010), 213–220
Zhao Q., Ye J., “Quickest Detection in Multiple ON-OFF Processes”, IEEE Transactions on Signal Processing, 58:12 (2010), 5994–6006
Fotopoulos S.B., Jandhyala V.K., Khapalova E., “Exact Asymptotic Distribution of Change-Point Mle for Change in the Mean of Gaussian Sequences”, Annals of Applied Statistics, 4:2 (2010), 1081–1104
Gurevich G., Vexler A., “Retrospective Change Point Detection: From Parametric to Distribution Free Policies”, Communications in Statistics-Simulation and Computation, 39:5 (2010), 899–920
Ye J., Zhao Q., “Quickest Change Detection In Multiple On-off Processes: Switching With Memory”, 47th Annual Allerton Conference on Communication, Control and Computing, 2009, 1476–1481
Zhao Q., Ye J., “Quickest Change Detection in Multiple on-Off Processes”, International Conference on Acoustics Speech and Signal Processing ICASSP, 2009, 3649–3652
Jia Ye, Qing Zhao, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2009, 1476