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has been cited by the following article:
TITLE: Truncated Geometric Bootstrap Method for Time Series Stationary Process
AUTHORS: T. O. Olatayo
KEYWORDS: Truncated Geometric Bootstrap Method, Stationary Process, Moving Block and Geometric Stationary Bootstrap Method
JOURNAL NAME: Applied Mathematics, Vol.5 No.13, July 18, 2014
ABSTRACT: 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.