Search Results - "Kutoyants, Yu. A."
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Parameter Estimation for Continuous Time Hidden Markov Processes
Published in Automation and remote control (01-03-2020)“…A survey of research works on the parameter estimation of hidden Markov processes is presented. Two observation models are considered: a partially observed…”
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Poisson source localization on the plane: the smooth case
Published in Metrika (01-05-2020)“…We consider the problem of localization of a Poisson source using observations of inhomogeneous Poisson processes. We assume that k detectors are distributed…”
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3
Localization of two radioactive sources on the plane
Published in Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01-04-2024)“…The problem of localization on the plane of two radioactive sources by K detectors is considered. Each detector records a realization of an inhomogeneous…”
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Poisson source localization on the plane: cusp case
Published in Annals of the Institute of Statistical Mathematics (01-10-2020)“…This work is devoted to the problem of estimation of the localization of Poisson source. The observations are inhomogeneous Poisson processes registered by…”
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5
Poisson source localization on the plane: change-point case
Published in Annals of the Institute of Statistical Mathematics (01-06-2020)“…We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single radioactive source of unknown…”
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6
Estimation of the position and time of emission of a source
Published in Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01-04-2022)“…We consider the problem of the estimation of the position on the plane and of the moment of beginning of emission of a source by observations from K detectors…”
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7
On parameter estimation for cusp-type signals
Published in Annals of the Institute of Statistical Mathematics (01-02-2018)“…We consider the problem of parameter estimation by continuous time observations of a deterministic signal in white Gaussian noise. It is supposed that the…”
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On Estimation Errors in Optical Communication and Location
Published in Automation and remote control (01-12-2021)“…We consider several problems of parameter estimation based on observations of inhomogeneous Poisson processes arising in various practical applications of…”
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9
On multiple change-point estimation for Poisson process
Published in Communications in statistics. Theory and methods (04-03-2018)“…This work is devoted to the problem of change-point parameter estimation in the case of the presence of multiple changes in the intensity function of the…”
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On score-functions and goodness-of-fit tests for stochastic processes
Published in Mathematical methods of statistics (01-04-2016)“…The problems of the construction of asymptotically distribution free goodness-of-fit tests for two diffusion processes are considered. The null hypothesis is…”
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On hypothesis testing for Poisson processes: Regular case
Published in Communications in statistics. Theory and methods (01-12-2016)“…We consider the problem of hypothesis testing in the situation when the firsthypothesis is simple and the second one is local one-sided composite. We describe…”
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Estimation of cusp location of stochastic processes: a survey
Published in Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01-07-2018)“…We present a review of some recent results on estimation of location parameter for several models of observations with cusp-type singularity at the change…”
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13
Method of Moments Estimators and Multi–step MLE for Poisson Processes
Published in Journal of contemporary mathematical analysis (01-07-2018)“…We introduce two types of estimators of the finite–dimensional parameters in the case of observations of inhomogeneous Poisson processes. These are the…”
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14
On hypothesis testing for Poisson processes. Singular cases
Published in Communications in statistics. Theory and methods (01-12-2016)“…We consider the problem of hypothesis testing in the situation where the first hypothesis is simple and the second one is local one-sided composite. Wedescribe…”
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15
On asymptotically distribution free tests with parametric hypothesis for ergodic diffusion processes
Published in Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01-10-2014)“…We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposed that…”
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Estimation in threshold autoregressive models with correlated innovations
Published in Annals of the Institute of Statistical Mathematics (01-10-2013)“…Large sample statistical analysis of threshold autoregressive models is usually based on the assumption that the underlying driving noise is uncorrelated. In…”
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17
On the multi-step MLE-process for ergodic diffusion
Published in Stochastic processes and their applications (01-07-2017)“…We propose a new method of the construction of the asymptotically efficient estimator-processes asymptotically equivalent to the MLE and the same time much…”
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18
On nonlinear TAR processes and threshold estimation
Published in Mathematical methods of statistics (01-04-2012)“…We consider the problem of threshold estimation for autoregressive time series with a “space switching” in the situation when the regression is nonlinear and…”
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On multi-step MLE-process for Markov sequences
Published in Metrika (01-08-2016)“…We consider the problem of the construction of the estimator-process of the unknown finite-dimensional parameter in the case of the observations of nonlinear…”
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Nonparametric hypothesis testing for intensity of the poisson process
Published in Mathematical methods of statistics (01-09-2007)“…We propose a goodness-of-fit test for the hypothesis that the observed Poisson point process has a given periodic intensity function against a nonparametric…”
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