An extension and implications of the inspection paradox
type: Item
instance of: scholarly article
title: An extension and implications of the inspection paradox
zbMATH Open document ID: 0641.60094
DOI: 10.1016/0167-7152(88)90073-9
author: Walter Kremers
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: The ``inspection paradox'' states that if \(X_ 1,X_ 2,..\). is a sequence of independent and identically distributed random variables and N is the first index such that \(X_ 1+...+X_ n\) exceeds a specified constant, then \(X_ N\) is stochastically larger than X. The author generalizes this result by showing a stochastic ordering of \(X_ 1,...,X_ N\).
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 4044911
zbMATH Keywords: Wald's identity
zbMATH Keywords: inspection paradox
zbMATH Keywords: stochastically larger
zbMATH Keywords: stochastic ordering
reviewed by: S. N. U. A. Kirmani
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90073-9
OpenAlex ID: W1967447523
cites work: Q5512461
cites work: Unbiased estimation in fixed cost sequential sampling schemes
cites work: Q3218851
cites work: Q3266687
cites work: REMARKS ON A STOPPING TIME
description: scientific article; zbMATH DE number 4044911