Poisson source localization on the plane: change-point case C. Farinetto, Yu. A. Kutoyants, A. Top
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): неоднородный пуассоновский процесс | байесовское оценивание | процесс отношения правдоподобияGenre/Form: статьи в журналах Online resources: Click here to access online
In:
Annals of the Institute of Statistical Mathematics Vol. 72, № 3. P. 675-698Abstract: We present a detection problem where several spatially distributed sensors observe
Poisson signals emitted from a single radioactive source of unknown position. The
measurements at each sensor are modeled by independent inhomogeneous Poisson
processes. A method based on Bayesian change-point estimation is proposed to identify
the location of the source’s coordinates. The asymptotic behavior of the Bayesian
estimator is studied. In particular, the consistency and the asymptotic efficiency of the
estimator are analyzed. The limit distribution and the convergence of the moments
are also described. The similar statistical model could be used in GPS localization
problems.
Библиогр.: с. 698
We present a detection problem where several spatially distributed sensors observe
Poisson signals emitted from a single radioactive source of unknown position. The
measurements at each sensor are modeled by independent inhomogeneous Poisson
processes. A method based on Bayesian change-point estimation is proposed to identify
the location of the source’s coordinates. The asymptotic behavior of the Bayesian
estimator is studied. In particular, the consistency and the asymptotic efficiency of the
estimator are analyzed. The limit distribution and the convergence of the moments
are also described. The similar statistical model could be used in GPS localization
problems.
There are no comments on this title.