A homogeneous Poisson process (N(t),t ≥ 0) with the intensity function m(t)=θ is observed on the interval [0,T]. The problem consists in estimating θ with balancing the LINEX loss due to an error of estimation and the cost of sampling which depends linearly on T. The optimal T is given when the prior distribution of θ is not uniquely specified.
@article{bwmeta1.element.bwnjournal-article-zmv24i4p457bwm, author = {Marek M\k eczarski and Ryszard Zieli\'nski}, title = {Bayes optimal stopping of a homogeneous poisson process under linex loss function and variation in the prior}, journal = {Applicationes Mathematicae}, volume = {24}, year = {1997}, pages = {457-463}, zbl = {0890.62065}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv24i4p457bwm} }
Męczarski, Marek; Zieliński, Ryszard. Bayes optimal stopping of a homogeneous poisson process under linex loss function and variation in the prior. Applicationes Mathematicae, Tome 24 (1997) pp. 457-463. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv24i4p457bwm/
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