A stochastic dominance property common to the boy-or-girl paradox and the lottery

Moshe Pollak

doi:10.1016/j.spl.2012.10.005

A stochastic dominance property common to the boy-or-girl paradox and the lottery

Moshe Pollak^*

^*Corresponding author for this work

Department of Statistics

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

1 Scopus citations

Abstract

We show that the number of boys in an n-child family that has at least s boys is stochastically smaller than when it is known that the first s children are boys. We apply this to a lottery.

Original language	English
Pages (from-to)	410-413
Number of pages	4
Journal	Statistics and Probability Letters
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/j.spl.2012.10.005
State	Published - Jan 2013

Keywords

Binomial
Conditional
Poisson
Sequential
Stochastic dominance

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10.1016/j.spl.2012.10.005

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A stochastic dominance property common to the boy-or-girl paradox and the lottery

Abstract

Keywords

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