The local fractional bootstrap

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 ...

Local Bootstrap Percolation

We study a variant of bootstrap percolation in which growth is restricted to a single active cluster. Initially there is a single active site at the origin, while other sites of Z2 are independently occupied with small probability p, otherwise empty. Subsequently, an empty site becomes active by contact with two or more active neighbors, and an occupied site becomes active if it has an active s...

Fuzzy Local Fractional Differential Equations

The Local Bootstrap for Markov processes

A nonparametric bootstrap procedure is proposed for stochastic processes which follow a general autoregressive structure. The procedure generates bootstrap replicates by locally resampling the original set of observations reproducing automatically its dependence properties. It avoids an initial nonparametric estimation of process characteristics in order to generate the pseudo-time series and t...

A bootstrap method for constructing local grammars

Local grammars have been used to describe a wide variety of sets of strings (M. Gross 1989 ; E. Roche, Y. Schabes 1997 ; W.A. Woods 1970), ranging from finite sets of words related by prefixation and suffixation (figure 1) to sets of sentences syntactically and semantically related (figures 2a and 2b). Formal representations of finite-state grammars are quite varied, although equivalent. As can...