Safe Haskell | None |
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Documentation
Techniques used to smooth the nearest values when calculating quantile functions. R2 is used by default, and the numbering convention follows the use in the R programming language, as far as it goes.
R1 | Inverse of the empirical distribution function |
R2 | .. with averaging at discontinuities (default) |
R3 | The observation numbered closest to Np. NB: does not yield a proper median |
R4 | Linear interpolation of the empirical distribution function. NB: does not yield a proper median. |
R5 | .. with knots midway through the steps as used in hydrology. This is the simplest continuous estimator that yields a correct median |
R6 | Linear interpolation of the expectations of the order statistics for the uniform distribution on [0,1] |
R7 | Linear interpolation of the modes for the order statistics for the uniform distribution on [0,1] |
R8 | Linear interpolation of the approximate medans for order statistics. |
R9 | The resulting quantile estimates are approximately unbiased for the expected order statistics if x is normally distributed. |
R10 | When rounding h, this yields the order statistic with the least expected square deviation relative to p. |
HD | The Harrell-Davis quantile estimator based on bootstrapped order statistics |
estimateBy :: Fractional r => Estimator -> Rational -> Int -> Estimate rSource