An extension and implications of the inspection paradox

Walter Kremers

doi:10.1016/0167-7152(88)90073-9

An extension and implications of the inspection paradox

Walter Kremers

Quantitative Health Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

If random variables are observed until their sum first exceeds a constant then the "inspection paradox" is that X_N is stochastically larger than X₁. We generalize the inspection paradox, show a stochastic ordering of X₁,...X_N, and then interpret and consider ramifications of this stochastic ordering.

Original language	English (US)
Pages (from-to)	269-273
Number of pages	5
Journal	Statistics and Probability Letters
Volume	6
Issue number	4
DOIs	https://doi.org/10.1016/0167-7152(88)90073-9
State	Published - Mar 1988

Keywords

Wald's identity
renewal process
stochastically larger

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(88)90073-9

Cite this

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author = "Walter Kremers",

note = "Funding Information: This material is based upon work supported by North Atlantic Treaty Organization under a Grant awarded in 1986.",

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N2 - If random variables are observed until their sum first exceeds a constant then the "inspection paradox" is that XN is stochastically larger than X1. We generalize the inspection paradox, show a stochastic ordering of X1,...XN, and then interpret and consider ramifications of this stochastic ordering.

AB - If random variables are observed until their sum first exceeds a constant then the "inspection paradox" is that XN is stochastically larger than X1. We generalize the inspection paradox, show a stochastic ordering of X1,...XN, and then interpret and consider ramifications of this stochastic ordering.

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KW - renewal process

KW - stochastically larger

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An extension and implications of the inspection paradox

Abstract

Keywords

ASJC Scopus subject areas

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