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Ergodic diffusion process 6 Asymptotically distribution free 2 Cramér-von Mises tests 2 Goodness of fit test 2 Goodness-of-fit test 2 ergodic diffusion process 2 62G20. 1 Asymptotically distribution free test 1 Brownian bridge 1 Cramer-von Mises type tests 1 Cramer–von Mises type test 1 Cusum test 1 Discretely observed process 1 Invariance principle 1 Mathematics Subject Classifications (1991): 60J60 1 Parameter estimation 1 Singular estimation 1 Test for parameter change 1 Threshold models 1 Tick time sample 1 Weak convergence 1 asymptotic efficiency 1 drift 1 efficient procedure 1 minimax 1 nonparametric sequential estimation 1 primary 62G07 1 secondary 62G20 1
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Negri, Ilia 3 Kutoyants, Yury 2 Galtchouk, L. 1 Kleptsyna, M. 1 Kutoyants, Yu. 1 Lee, Sangyeol 1 Nishiyama, Yoichi 1 Pergamenshchikov, S. 1 Song, Junmo 1 Zhou, Li 1
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Statistical Inference for Stochastic Processes 7 Annals of the Institute of Statistical Mathematics 1
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On asymptotic distribution of parameter free tests for ergodic diffusion processes
Kutoyants, Yury - In: Statistical Inference for Stochastic Processes 17 (2014) 2, pp. 139-161
We consider two problems of constructing of goodness of fit tests for ergodic diffusion processes. The first one is concerned with a composite basic hypothesis for a parametric class of diffusion processes, which includes the Ornstein–Uhlenbeck and simple switching processes. In this case we...
Persistent link: https://www.econbiz.de/10010793918
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On asymptotically distribution free tests with parametric hypothesis for ergodic diffusion processes
Kleptsyna, M.; Kutoyants, Yu. - In: Statistical Inference for Stochastic Processes 17 (2014) 3, pp. 295-319
diffusion process. It is supposed that under the basic hypothesis the trend coefficient depends on a finite …We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic …
Persistent link: https://www.econbiz.de/10010949409
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On goodness-of-fit testing for ergodic diffusion process with shift parameter
Negri, Ilia; Zhou, Li - In: Statistical Inference for Stochastic Processes 17 (2014) 1, pp. 51-73
A problem of goodness-of-fit test for ergodic diffusion processes is presented. In the null hypothesis the drift of the diffusion is supposed to be in a parametric form with unknown shift parameter. Two Cramer–von Mises type test statistics are studied. The first test uses the local time...
Persistent link: https://www.econbiz.de/10010843770
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On identification of the threshold diffusion processes
Kutoyants, Yury - In: Annals of the Institute of Statistical Mathematics 64 (2012) 2, pp. 383-413
Persistent link: https://www.econbiz.de/10010848668
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Goodness of fit test for ergodic diffusions by tick time sample scheme
Negri, Ilia; Nishiyama, Yoichi - In: Statistical Inference for Stochastic Processes 13 (2010) 1, pp. 81-95
Persistent link: https://www.econbiz.de/10008533933
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Test for parameter change in discretely observed diffusion processes
Song, Junmo; Lee, Sangyeol - In: Statistical Inference for Stochastic Processes 12 (2009) 2, pp. 165-183
Persistent link: https://www.econbiz.de/10005004374
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Asymptotically Efficient Sequential Kernel Estimates of the Drift Coefficient in Ergodic Diffusion Processes
Galtchouk, L.; Pergamenshchikov, S. - In: Statistical Inference for Stochastic Processes 9 (2006) 1, pp. 1-16
Persistent link: https://www.econbiz.de/10005616032
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Stationary Distribution Function Estimation for Ergodic Diffusion Process
Negri, Ilia - In: Statistical Inference for Stochastic Processes 1 (1998) 1, pp. 61-84
Persistent link: https://www.econbiz.de/10005391497
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