https://mpra.ub.uni-muenchen.de/id/eprint/1984 2019-09-27T07:34:52Z info:eu-repo/semantics/descriptiveMetadata https://mpra.ub.uni-muenchen.de/1984/ Characteristic function approach to the sum of stochastic variables Figueiredo, Annibal Gleria, Iram Matsushita, Raul Da Silva, Sergio C1 - Econometric and Statistical Methods and Methodology: General This paper puts forward a technique based on the characteristic function to tackle the problem of the sum of stochastic variables. We consider independent processes whose reduced variables are identically distributed, including those that violate the conditions for the central limit theorem to hold. We also consider processes that are correlated and analyze the role of nonlinear autocorrelations in their convergence to a Gaussian. We demonstrate that nonidentity in independent processes is related to autocorrelations in nonindependent processes. We exemplify our approach with data from foreign exchange rates. 2006 MPRA Paper NonPeerReviewed application/pdf en https://mpra.ub.uni-muenchen.de/1984/1/MPRA_paper_1984.pdf Figueiredo, Annibal and Gleria, Iram and Matsushita, Raul and Da Silva, Sergio (2006): Characteristic function approach to the sum of stochastic variables. en info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage