Bayesian MCMC estimation of the rose of directions

Michaela Prokešová

Kybernetika (2003)

  • Volume: 39, Issue: 6, page [703]-717
  • ISSN: 0023-5954

Abstract

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The paper concerns estimation of the rose of directions of a stationary fibre process in R 3 from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is shown. Properties of the estimation method are studied both theoretically and by simulation.

How to cite

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Prokešová, Michaela. "Bayesian MCMC estimation of the rose of directions." Kybernetika 39.6 (2003): [703]-717. <http://eudml.org/doc/33675>.

@article{Prokešová2003,
abstract = {The paper concerns estimation of the rose of directions of a stationary fibre process in $R^3$ from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is shown. Properties of the estimation method are studied both theoretically and by simulation.},
author = {Prokešová, Michaela},
journal = {Kybernetika},
keywords = {rose of directions; planar section; fibre process; Bayesian statistics; MCMC algorithm; planar section; fibre process; MCMC algorithm},
language = {eng},
number = {6},
pages = {[703]-717},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Bayesian MCMC estimation of the rose of directions},
url = {http://eudml.org/doc/33675},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Prokešová, Michaela
TI - Bayesian MCMC estimation of the rose of directions
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 6
SP - [703]
EP - 717
AB - The paper concerns estimation of the rose of directions of a stationary fibre process in $R^3$ from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is shown. Properties of the estimation method are studied both theoretically and by simulation.
LA - eng
KW - rose of directions; planar section; fibre process; Bayesian statistics; MCMC algorithm; planar section; fibre process; MCMC algorithm
UR - http://eudml.org/doc/33675
ER -

References

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