%0 Book Section
%3 araujo_calculus.pdf
%4 sid.inpe.br/mtc-m21c/2018/07.18.16.18
%A Araújo, Amarísio S.,
%A Furtado, Helaine C. M.,
%A Campos Velho, Haroldo Fraga de,
%@secondarytype PRE LI
%B Integral methods in science and engineering
%C Brighton, UK
%D 2019
%E Constanda, Christian,
%E Harris, Paul,
%@secondarykey INPE--PRE/
%I Springer
%K q-Calculus, non-extensive entropy, particle filter.
%P 25-35
%T q-Calculus formalism for non-extensive particle filter
%X A class of sequential Monte Carlo estimation is frequently called particle filter. This filter belongs to the Bayesian strategy for estimation, where a no-linear and no-Gaussian assumptions can be applied. Here, the Tsallis distribution, from the non-extensive thermo-statistics, is used to design the best likelihood operator. Therefore, no previous likelihood operator is assumed. The new filter formulation will be named as non-extensive particle filter (NEx-PF). The distribution estimated by the NEc-PF can compute the standard form of the central limit theorem, as weel as the Levy-Gnedenko central limit theorem. The q-calculus formalism is employed to generalize some definitions and properties.
%@area COMP
%@electronicmailaddress amarisio5@gmail.com
%@electronicmailaddress
%@electronicmailaddress haroldo.camposvelho@inpe.br
%@documentstage not transferred
%@group
%@group
%@group LABAC-COCTE-INPE-MCTIC-GOV-BR
%@isbn 978-3-030-16077-7
%@usergroup simone
%@resumeid
%@resumeid
%@resumeid 8JMKD3MGP5W/3C9JHC3
%@nexthigherunit 8JMKD3MGPCW/3ESGTTP
%@affiliation Universidade Federal de Viçosa (UFV)
%@affiliation Universidade Federal do Oeste do Pará (UFOPA)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@versiontype publisher
%@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S}
%2 sid.inpe.br/mtc-m21c/2018/07.18.16.18.38