A topological criterion for hypothesis testing
type: Item
instance of: scholarly article
title: A topological criterion for hypothesis testing
zbMATH Open document ID: 0818.62010
author: Amir Dembo
author: Yuval Peres
published in: The Annals of Statistics
publication date: 1994-06-29T00:00:00Z
review text: The authors raise and answer an interesting statistical question; namely is it possible, with enough data, to distinguish between two mutually exclusive hypotheses. They prove a sequence of increasingly more general theorems that provide conditions for when such decisions are possible. They begin with hypotheses concerning means and independent, identically distributed random variables and end with a proposition about hypotheses concerning Markov chains.
Mathematics Subject Classification ID: 62C25
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62M02
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 597407
zbMATH Keywords: distinguishability
zbMATH Keywords: mutually exclusive hypotheses
zbMATH Keywords: Markov chains
reviewed by: Robert M. Tardiff
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176325360
OpenAlex ID: W2086255035
DOI: 10.1214/AOS/1176325360
description: scientific article; zbMATH DE number 597407