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Teoriya Veroyatnostei i ee Primeneniya, 1990, Volume 35, Issue 2, Pages 282–292 (Mi tvp996)  

This article is cited in 23 scientific papers (total in 23 papers)

On the first exit time of an autoregressive process beyond a level and an application to the “change-point” problem

A. A. Novikov
Received: 24.09.1987
English version:
Theory of Probability and its Applications, 1990, Volume 35, Issue 2, Pages 269–279
DOI: https://doi.org/10.1137/1135035
Bibliographic databases:
Language: Russian
Citation: A. A. Novikov, “On the first exit time of an autoregressive process beyond a level and an application to the “change-point” problem”, Teor. Veroyatnost. i Primenen., 35:2 (1990), 282–292; Theory Probab. Appl., 35:2 (1990), 269–279
Citation in format AMSBIB
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\paper On the first exit time of an autoregressive process beyond a level and an application to the ``change-point'' problem
\jour Teor. Veroyatnost. i Primenen.
\yr 1990
\vol 35
\issue 2
\pages 282--292
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\transl
\jour Theory Probab. Appl.
\yr 1990
\vol 35
\issue 2
\pages 269--279
\crossref{https://doi.org/10.1137/1135035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FW92100006}
Linking options:
  • https://www.mathnet.ru/eng/tvp996
  • https://www.mathnet.ru/eng/tvp/v35/i2/p282
  • This publication is cited in the following 23 articles:
    1. Mario Lefebvre, “A First-Passage-Time Problem for a Discrete-Time Markov Process”, International Journal of Applied Mathematics, Computational Science and Systems Engineering, 6 (2024), 76  crossref
    2. Mario Lefebvre, “Probabilistic solutions of integral equations from optimal control”, J. Integral Equations Applications, 34:2 (2022)  crossref
    3. Theory Probab. Appl., 66:4 (2022), 713–728  mathnet  crossref  crossref  mathscinet  zmath
    4. Aliev S.A., Rahimov F.H., Hashimova T.E., Farhadova A.D., Bagirova G.A., “Limit Theorems For the Family of the First Passage Time of the Parabola By a Random Walk Described By the Autoreqression Process of Order One (Ar(1))”, Proceedings of the 6Th International Conference on Control and Optimization With Industrial Applications, Vol i, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 65–67  mathscinet  isi
    5. Rahimov F.H., Hashimova T.E., Farhadova A.D., Khalilov V.S., Gulieva L.V., “Limit Theorem For the First Passage Time of the Level By the Random Walk Described By Nonlinear Function of the Autoregression Process of Order One Ar(1)”, Proceedings of the 6Th International Conference on Control and Optimization With Industrial Applications, Vol II, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 244–246  mathscinet  isi
    6. Timo Koski, Brita Jung, Göran Högnäs, “Exit times for ARMA processes”, Adv. Appl. Probab., 50:A (2018), 191  crossref
    7. Brodsky B., “Change-Point Analysis in Nonstationary Stochastic Models”, Change-Point Analysis in Nonstationary Stochastic Models, Crc Press-Taylor & Francis Group, 2017, 1–345  isi
    8. Aleksey S. Polunchenko, “A note on efficient performance evaluation of the Cumulative Sum chart and the Sequential Probability Ratio Test”, Appl Stoch Models Bus & Ind, 32:5 (2016), 565  crossref
    9. Dong Han, Fugee Tsung, Xianghui Ning, “Detection and Diagnosis of Distribution Changes of Degree Ratio in Complex Networks”, Communications in Statistics - Theory and Methods, 44:9 (2015), 1911  crossref
    10. Wenyu Du, Grigory Sokolov, Aleksey S. Polunchenko, Springer Proceedings in Mathematics & Statistics, 122, Stochastic Models, Statistics and Their Applications, 2015, 57  crossref
    11. Habtemicael S. SenGupta I., “Ornstein–Uhlenbeck Processes For Geophysical Data Analysis”, Physica A, 399 (2014), 147–156  crossref  isi
    12. Wergen G., “Modeling Record-Breaking Stock Prices”, Physica A, 396 (2014), 114–133  crossref  isi
    13. Zhang H. Hadjiliadis O. Schaefer T. Poor H.V., “Quickest Detection in Coupled Systems”, SIAM J. Control Optim., 52:3 (2014), 1567–1596  crossref  isi
    14. Mariana Olvera-Cravioto, “On the Distribution of the Nearly Unstable AR(1) Process with Heavy Tails”, Advances in Applied Probability, 42:1 (2010), 106  crossref
    15. A. A. Novikov, “On Distributions of First Passage Times and Optimal Stopping of AR(1) Sequences”, Theory Probab. Appl., 53:3 (2009), 419–429  mathnet  crossref  crossref  mathscinet  zmath  isi
    16. Novikov A., Kordzakhia N., “Martingales and first passage times of AR(1) sequences”, Stochastics-An International Journal of Probability and Stochastic Processes, 80:2–3 (2008), 197–210  crossref  mathscinet  zmath  isi
    17. Borovkov K., Novikov A., “On exit times of Levy-driven Ornstein–Uhlenbeck processes”, Statistics & Probability Letters, 78:12 (2008), 1517–1525  crossref  mathscinet  zmath  isi
    18. Sven Knoth, Frontiers in Statistical Quality Control 8, 2006, 74  crossref
    19. Novikov A., Melchers R.E., Shinjikashvili E., Kordzakhia N., “First passage time of filtered Poisson process with exponential shape function”, Probabilistic Engineering Mechanics, 20:1 (2005), 57–65  crossref  isi
    20. Alexander G. Tartakovsky, “Discussion on “Likelihood Ratio Identities and Their Applications to Sequential Analysis” by Tze L. Lai”, Sequential Analysis, 23:4 (2004), 541  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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