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- W2170607599 abstract "We discuss some properties of the point spread distribution, defined as the distribution of the difference of two independent binomial random variables with the same parameter n including exact and approximate probabilities and related optimization issues. We use various approximation techniques for different distributions, special functions, and analytic, combinatorial and symbolic methods, such as multi-summation techniques. We prove that in case of unequal success rates, if these rates change with their difference kept fixed and small, and n is appropriately bounded, then the point spread distribution only slightly changes for small point differences. We also prove that for equal success rates p, the probability of a tie is minimized if p=1/2. Numerical examples are included for the case with n=12." @default.
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- W2170607599 date "2011-10-01" @default.
- W2170607599 modified "2023-09-23" @default.
- W2170607599 title "On approximating point spread distributions" @default.
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- W2170607599 doi "https://doi.org/10.1080/00949655.2010.484901" @default.
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