A Confidence Interval for the Euler-Maruyama Approximate Solution of SDE with Unbounded Coefficients Dedicated to the Memory of Professor Hiroshi Tanaka
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作者:
Kanagawa, Shuya
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Tokyo City Univ, Dept Math, Tokyo, JapanTokyo City Univ, Dept Math, Tokyo, Japan
Kanagawa, Shuya
[1
]
Hasegawa, Satoshi
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Tokyo City Univ, Grad Sch Syst Informat Engn, Tokyo, JapanTokyo City Univ, Dept Math, Tokyo, Japan
Hasegawa, Satoshi
[2
]
机构:
[1] Tokyo City Univ, Dept Math, Tokyo, Japan
[2] Tokyo City Univ, Grad Sch Syst Informat Engn, Tokyo, Japan
In this paper we investigate the Euler-Maruyama approximate solution for SDE with unbounded coefficients and estimate the mean square error. From the result we obtain a confidence interval of tc SDE.