Other Applications of Confidence Bands
Confidence bands arise whenever a statistical analysis focuses on estimating a function.
For example, confidence bands can be constructed around estimates of the empirical distribution function. Simple theory allows the construction of point-wise confidence intervals, but it is also possible to construct a simultaneous confidence band for the cumulative distribution function as a whole by inverting the Kolmogorov-Smirnov test, or by using non-parametric likelihood methods .
Confidence bands have also been devised for estimates of density functions, spectral density functions, quantile functions, scatterplot smooths, survival functions, and characteristic functions.
Read more about this topic: Confidence Band
Famous quotes containing the words confidence and/or bands:
“Sincerity is a certain openness of heart. It is to be found in very few, and what we commonly look upon to be so is only a cunning sort of dissimulation, to insinuate ourselves into the confidence of others.”
—François, Duc De La Rochefoucauld (1613–1680)
“Nearly all the bands are mustered out of service; ours therefore is a novelty. We marched a few miles yesterday on a road where troops have not before marched. It was funny to see the children. I saw our boys running after the music in many a group of clean, bright-looking, excited little fellows.”
—Rutherford Birchard Hayes (1822–1893)