Sample splitting, according to Hall, 2014.
Number of successes
Number of trials
These functions implement sample splitting of a binomial rate.
Note that the results depend on the state of the random number generator, and are therefore not strictly deterministic.
A vector with the rate p = X/N, obtained with sample splitting.
Decrouez, Geoffrey, and Peter Hall. "Split Sample Methods for Constructing Confidence Intervals for Binomial and Poisson Parameters." Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2013, n/a–n/a. doi:10.1111/rssb.12051.
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