A new estimator is proposed for the mean function of a Gaussian process with known covariance function. The estimator m(t) is interpreted from a Bayesian point of view. It is shown that the estimator is minimax within a certain subset of the parameter space.
机构:
Korea Univ Technol & Educ, Sch Comp Sci & Engn, 1600 Chungjeolno, Cheonan 330708, Chungnam, South KoreaKorea Univ Technol & Educ, Sch Comp Sci & Engn, 1600 Chungjeolno, Cheonan 330708, Chungnam, South Korea
Mahmood, Muhammad Tariq
Choi, Young-Kyu
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Korea Univ Technol & Educ, Sch Comp Sci & Engn, 1600 Chungjeolno, Cheonan 330708, Chungnam, South KoreaKorea Univ Technol & Educ, Sch Comp Sci & Engn, 1600 Chungjeolno, Cheonan 330708, Chungnam, South Korea
Choi, Young-Kyu
Shim, Seong-O
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Plus Fountain Co Ltd, Engn Res Dept, Seoul, South KoreaKorea Univ Technol & Educ, Sch Comp Sci & Engn, 1600 Chungjeolno, Cheonan 330708, Chungnam, South Korea
Shim, Seong-O
[J].
PROCEEDINGS 2012 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC),
2012,
: 1345
-
1350
机构:
Taras Shevchenko Natl Univ Kyiv, Dept Probabil Theory Stat & Actuarial Math, Kiev, Ukraine
Vasyl Stus Donetsk Natl Univ, Fac Math & Informat Technol, Dept Probabil Theory & Math Stat, Vinnytsia, UkraineTaras Shevchenko Natl Univ Kyiv, Dept Probabil Theory Stat & Actuarial Math, Kiev, Ukraine
Kozachenko, Yury V.
Troshki, Viktor B.
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Uzhgorod Natl Univ, Dept Phys & Math Disciplines, Univ Str 14, Uzhgorod 88000, UkraineTaras Shevchenko Natl Univ Kyiv, Dept Probabil Theory Stat & Actuarial Math, Kiev, Ukraine