Previously suggested methods for constructing confidence bands for cumulative distribution functions have been based on the classical Kolmogorov-Smirnov test for an empirical distribution function.

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

SIAM Journal on Applied Mathematics, Vol. 18, No. 4 (Jun., 1970), pp. 721-737 (17 pages) The probability density functions of products of independent beta, gamma and central Gaussian random variables ...

Secret communication over public channels is one of the central pillars of a modern information society. Using quantum key distribution this is achieved without relying on the hardness of mathematical ...