A study on development and implementation of shrinkage estimation algorithms for dynamic systems
Project/Area Number |
23510171
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Social systems engineering/Safety system
|
Research Institution | Hiroshima University |
Principal Investigator |
DOHI Tadashi 広島大学, 工学(系)研究科(研究院), 教授 (00243600)
|
Project Period (FY) |
2011 – 2013
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
|
Keywords | 縮小推定 / ウェーブレット / 確率過程 / 統計的推論 / 推定アルゴリズム / 非定常点過程 / マルコフ過程 / 信頼性評価 / 信頼性 / 性能評価 / 動的システム / 統計的推定 / ツール開発 / 金融工学 |
Research Abstract |
In this research we focus on the concept of shrinkage estimation as a novel statistical inference technique in dynamic stochastic systems, which is frequently used in dependability and performance evaluation. We develop a theoretical framework to perform the statistical estimation with more accuracy and cheaper computation cost, than the common approaches such as parametric estimation based on the likelihood information or non-parametric estimation via kernel functions. Especially, we consider the wavelet-based shrinkage estimation, and propose several statistical estimation algorithms for high-dimensional non-stationary stochastic processes. Further, we develop the statistical analysis tool to implement the wavelet-based statistical estimation algorithms, and investigate several application examples in individual research area.
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Report
(4 results)
Research Products
(53 results)