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Truncated Geometric Bootstrap Method for Time Series Stationary Process

Truncated Geometric Bootstrap Method for Time Series Stationary Process
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摘要 This paper introduced a bootstrap method called truncated geometric bootstrap method for time series stationary process. We estimate the parameters of a geometric distribution which has been truncated as a probability model for the bootstrap algorithm. This probability model was used in resampling blocks of random length, where the length of each blocks has a truncated geometric distribution. The method was able to determine the block sizes b and probability p attached to its random selections. The mean and variance were estimated for the truncated geometric distribution and the bootstrap algorithm developed based on the proposed probability model. This paper introduced a bootstrap method called truncated geometric bootstrap method for time series stationary process. We estimate the parameters of a geometric distribution which has been truncated as a probability model for the bootstrap algorithm. This probability model was used in resampling blocks of random length, where the length of each blocks has a truncated geometric distribution. The method was able to determine the block sizes b and probability p attached to its random selections. The mean and variance were estimated for the truncated geometric distribution and the bootstrap algorithm developed based on the proposed probability model.
作者 T. O. Olatayo
出处 《Applied Mathematics》 2014年第13期2057-2061,共5页 应用数学(英文)
关键词 TRUNCATED GEOMETRIC BOOTSTRAP METHOD STATIONARY Process MOVING Block and GEOMETRIC STATIONARY BOOTSTRAP METHOD Truncated Geometric Bootstrap Method Stationary Process Moving Block and Geometric Stationary Bootstrap Method
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