@InCollection{AraújoFurtCamp:2019:QCFoNo,
author = "Ara{\'u}jo, Amar{\'{\i}}sio S. and Furtado, Helaine C. M. and
Campos Velho, Haroldo Fraga de",
title = "q-Calculus formalism for non-extensive particle filter",
booktitle = "Integral methods in science and engineering",
publisher = "Springer",
year = "2019",
editor = "Constanda, Christian and Harris, Paul",
pages = "25--35",
address = "Brighton, UK",
keywords = "q-Calculus, non-extensive entropy, particle filter.",
abstract = "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.",
affiliation = "{Universidade Federal de Vi{\c{c}}osa (UFV)} and {Universidade
Federal do Oeste do Par{\'a} (UFOPA)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)}",
isbn = "978-3-030-16077-7",
language = "en",
targetfile = "araujo_calculus.pdf",
urlaccessdate = "24 nov. 2020"
}