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A stochastic analysis of scoring systems

Pollard, Graham Hilford


Many scoring systems can be seen as statistical tests of hypotheses. In tennis singles, for example, the scoring system used can be seen as a test involving 2 binomial probabilities pa and pb, where pa (pb) is the probability player A (player B) wins a point initiated by player A (player B). Tennis singles is thus a “bipoints” game. The tennis scoring system is an inefficient test relative to the sequential probability ratio test (SPRT) based on pairs of these points. When pa + Pb >...[Show more]

CollectionsOpen Access Theses
Date published: 1986
Type: Thesis (PhD)
DOI: 10.25911/5d7238b677754


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