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

Moshe Pollak

Statistics & Probability Letters, 2013, vol. 83, issue 1, 410-413

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.

Keywords: Stochastic dominance; Conditional; Binomial; Poisson; Sequential (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2012.10.005

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