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Kutoyants Y
.
On the multi-step MLE-process for ergodic diffusion.
Stoch Process Their Appl
2017. [DOI:
10.1016/j.spa.2016.10.007
]
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Citation(s) in
RCA
: 12
]
[
Impact Index Per Article: 1.7
]
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[Indexed: 11/28/2022]
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Cited by Other Article(s)
1
Quasi-likelihood analysis and its applications.
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES
2022. [DOI:
10.1007/s11203-021-09266-0
]
[
Citation(s) in
RCA
: 1
]
[
Impact Index Per Article: 0.5
]
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[Indexed: 10/19/2022]
Abstract
Abstract
The Ibragimov–Khasminskii theory established a scheme that gives asymptotic properties of the likelihood estimators through the convergence of the likelihood ratio random field. This scheme is extending to various nonlinear stochastic processes, combined with a polynomial type large deviation inequality proved for a general locally asymptotically quadratic quasi-likelihood random field. We give an overview of the quasi-likelihood analysis and its applications to ergodic/non-ergodic statistics for stochastic processes.
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2
Kutoyants YA
. On multi-step estimation of delay for SDE.
BERNOULLI
2021. [DOI:
10.3150/20-bej1301
]
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Citation(s) in
RCA
: 0
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Impact Index Per Article: 0
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[Indexed: 11/19/2022]
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Affiliation(s)
Yury A. Kutoyants
Tomsk State University, Tomsk, Russia
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3
Kutoyants YA
, Zhou L. On parameter estimation of the hidden Gaussian process in perturbed SDE.
Electron J Stat
2021. [DOI:
10.1214/20-ejs1788
]
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Citation(s) in
RCA
: 1
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Impact Index Per Article: 0.3
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[Indexed: 11/19/2022]
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4
Chernoyarov OV
, Kutoyants YA. Poisson source localization on the plane: the smooth case.
METRIKA
2019. [DOI:
10.1007/s00184-019-00738-1
]
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Citation(s) in
RCA
: 4
]
[
Impact Index Per Article: 0.8
]
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[Indexed: 11/24/2022]
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5
Kaino Y
, Nakakita SH, Uchida M. Hybrid estimation for ergodic diffusion processes based on noisy discrete observations.
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES
2019. [DOI:
10.1007/s11203-019-09203-2
]
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Citation(s) in
RCA
: 0
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Impact Index Per Article: 0
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[Indexed: 10/26/2022]
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6
Kutoyants YA
. On parameter estimation of the hidden Ornstein–Uhlenbeck process.
J MULTIVARIATE ANAL
2019. [DOI:
10.1016/j.jmva.2018.09.008
]
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Citation(s) in
RCA
: 8
]
[
Impact Index Per Article: 1.6
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[Indexed: 11/15/2022]
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7
Kutoyants YA
. On parameter estimation of hidden ergodic Ornstein-Uhlenbeck process.
Electron J Stat
2019. [DOI:
10.1214/19-ejs1631
]
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Citation(s) in
RCA
: 4
]
[
Impact Index Per Article: 0.8
]
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[Indexed: 11/19/2022]
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8
Khasminskii RZ
, Kutoyants YA. On parameter estimation of hidden telegraph process.
BERNOULLI
2018. [DOI:
10.3150/16-bej920
]
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Citation(s) in
RCA
: 7
]
[
Impact Index Per Article: 1.2
]
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[Indexed: 11/19/2022]
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9
Kaino Y
, Uchida M. Hybrid estimators for stochastic differential equations from reduced data.
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES
2018. [DOI:
10.1007/s11203-018-9184-x
]
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Citation(s) in
RCA
: 6
]
[
Impact Index Per Article: 1.0
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[Indexed: 11/30/2022]
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10
Kaino Y
, Uchida M. Hybrid estimators for small diffusion processes based on reduced data.
METRIKA
2018. [DOI:
10.1007/s00184-018-0657-0
]
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Citation(s) in
RCA
: 5
]
[
Impact Index Per Article: 0.8
]
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[Indexed: 11/27/2022]
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