Theoretical comparisons of block bootstrap methods
نویسندگان
چکیده
منابع مشابه
Local Block Bootstrap
For time series that are not stationary, the block bootstrap method is not directly applicable. However, if the underlying stochastic structure is slowly changing with time, one may employ a local block-resampling procedure. We define such a procedure, and give an example of its applicability. Résumé Bloc re-échantillonnage local Pour les séries chronologiques qui ne sont pas stationnaires, la ...
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1 The asymptotic refinements attributable to the block bootstrap for time series are not as large as those of the nonparametric iid bootstrap or the parametric bootstrap. One reason is that the independence between the blocks in the block bootstrap sample does not mimic the dependence structure of the original sample. This is the join-point problem. In this paper, we propose a method of solving...
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The situation where the available data arise from a general linear process with a unit root is discussed. We propose a modi cation of the Block Bootstrap which generates replicates of the original data and which correctly imitates the unit root behavior and the weak dependence structure of the observed series. Validity of the proposed method for estimating the unit root distribution is shown. R...
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In this paper a new block bootstrap method for periodic times series called Generalized Seasonal Tapered Block Bootstrap (GSTBB) is introduced. Consistency of the GSTBB for parameters associated with periodically correlated time series is shown; these are the overall mean, seasonal means and Fourier coefficients of the autocovariance function. Consequently, the construction of bootstrap pointwi...
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SUMMARY. The block bootstrap for time series consists in randomly resampling blocks of consecutive values of the given data and aligning these blocks into a bootstrap sample. Here we suggest improving the performance of this method by aligning with higher likelihood those blocks which match at their ends. This is achieved by resampling the blocks according to a Markov chain whose transitions de...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1999
ISSN: 0090-5364
DOI: 10.1214/aos/1018031117