Variance estimation in the particle filter

On the mathematical expectation of the moments of frequency distributions in the case of correlated observations

A. A. Tschuprow · 1923

Earlier work this paper cites.

On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection

J. Neyman · 1934

Earlier work this paper cites.

Central limit theorem for nonlinear filtering and interacting particle systems

P. Del Moral and A. Guionnet · 1999

Earlier work this paper cites.

Filtering via simulation: auxiliary particle filters

M. K. Pitt and N. Shephard · 1999

Earlier work this paper cites.

Genealogies and increasing propagation of chaos for Feynman-Kac and genetic models

P. Del Moral and L. Miclo · 2001

Earlier work this paper cites.

Central limit theorem for sequential Monte Carlo methods and its application to Bayesian inference

N. Chopin · 2004

Earlier work this paper cites.

Feynman-Kac formulae: genealogical and interacting particle systems with applications

P. Del Moral · 2004

Earlier work this paper cites.

Monte Carlo methods in financial engineering

P. Glasserman · 2004

Cited alongside, same era.

Moderate deviations for particle filtering

R. Douc, A. Guillin, and J. Najim · 2005

Cited alongside, same era.

Recursive Monte Carlo filters: algorithms and theoretical analysis

H. Künsch · 2005

Cited alongside, same era.

Sequential Monte Carlo samplers

P. Del Moral, A. Doucet, and A. Jasra · 2006

Cited alongside, same era.

Sharp propagation of chaos estimates for Feynman-Kac particle models

P. Del Moral, A. Doucet, and G. W. Peters · 2007

Cited alongside, same era.

Limit theorems for weighted samples with applications to sequential Monte Carlo methods

R. Douc and E. Moulines · 2008

Cited alongside, same era.

A tutorial on particle filtering and smoothing: fifteen years later

A. Doucet and A. M. Johansen · 2008

Later among the works it cites.

A nonasymptotic theorem for unnormalized Feynman–Kac particle models

F. Cérou, P. Del Moral, and A. Guyader · 2011

Later among the works it cites.

A general theory of particle filters in hidden Markov models and some applications

H. P. Chan and T. L. Lai · 2013

Later among the works it cites.

Stability properties of some particle filters

N. Whiteley · 2013

Later among the works it cites.

Uniform ergodicity of the iterated conditional SMC and geometric ergodicity of particle Gibbs samplers

C. Andrieu, A. Lee, and M. Vihola · 2016

Closest in time.

Adaptive particle allocation in iterated sequential Monte Carlo via approximating meta-models

A. Bhadra and E. L. Ionides · 2016