Open Access
Translator Disclaimer
December2000 The problem of low counts in a signal plus noise model
Hsiuying Wang, Michael Woodroofe
Ann. Statist. 28(6): 1561-1569 (December2000). DOI: 10.1214/aos/1015957470

Abstract

Consider the model $X = B + S$, where $B$and $S$ are independent Poisson random variables with means $\mu$ and $\nu$, $\nu$ is unknown, but $\mu$ is known. The model arises in particle physics and some recent articles have suggested conditioning on the observed bound on $B$; that is, if $X = n$ is observed, then the suggestion is to base inference on the conditional distribution of $X$ given $B \leq n$. This conditioning is non-standard in that it does not correspond to a partition of the sample space. It is examined here from the view point of decision theory and shown to lead to admissible formal Bayes procedures.

Citation

Download Citation

Hsiuying Wang. Michael Woodroofe. "The problem of low counts in a signal plus noise model." Ann. Statist. 28 (6) 1561 - 1569, December2000. https://doi.org/10.1214/aos/1015957470

Information

Published: December2000
First available in Project Euclid: 12 March 2002

zbMATH: 1105.62300
MathSciNet: MR1835031
Digital Object Identifier: 10.1214/aos/1015957470

Subjects:
Primary: 62C15
Secondary: 62F03 , 62P35

Keywords: $P$-values , Admissibility , ancillary statistic , Bayesian solutions , confidence intervals , neutrino oscillations , risk

Rights: Copyright © 2000 Institute of Mathematical Statistics

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.28 • No. 6 • December2000
Back to Top