From Bocce to Positivity: Some Probabilistic Linear Algebra

From Bocce to Positivity: Some Probabilistic Linear Algebra

A question in geometric probability about the location of the balls in a game of bocce leads to related questions about the probability that a system of linear equations has a positive solution and the probability that a random zero-sum game favors the row player. Under reasonable assumptions, we ar...

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Veröffentlicht in:Mathematics magazine 2013-04, Vol.86 (2), p.110-119
1. Verfasser: Morrison, Kent E.
Format: Magazinearticle
Sprache:eng
Schlagworte:
Bocce
Density distributions
Game theory
Hyperplanes
Linear algebra
Linear equations
Mathematical vectors
Matrices
Probability distribution
Random variables
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Zusammenfassung:A question in geometric probability about the location of the balls in a game of bocce leads to related questions about the probability that a system of linear equations has a positive solution and the probability that a random zero-sum game favors the row player. Under reasonable assumptions, we are able to find these probabilities.
ISSN:0025-570X
1930-0980
DOI:10.4169/math.mag.86.2.110