68 citations · 79 across the 19 of their papers we have counts for
6 papers · 1 filter
A Markovian Gauß\, Inequality for Asymmetric Deviations from the Mode of Symmetric Unimodal Distributions
Chris A. J. Klaassen
For a random variable with a unimodal distribution and finite second moment Gauß\, (1823) proved a sharp bound on the probability of the random variable to be outside a symmetric i…
Sharp Inequalities of Bienaymé-Chebyshev and GaußType for Possibly Asymmetric Intervals around the Mean
Roxana A. Ion, Chris A. J. Klaassen, Edwin R. van den Heuvel
Gauß(1823) proved a sharp upper bound on the probability that a random variable falls outside a symmetric interval around zero when its distribution is unimodal with mode at zero.…
Probability Theoretic Generalizations of Hardy's and Copson's Inequality
Chris A. J. Klaassen
A short proof of the classic Hardy inequality is presented for -norms with . Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy…
Hardy's Inequality and Its Descendants
Chris A. J. Klaassen, Jon A. Wellner
We formulate and prove a generalization of Hardy's inequality (Hardy,1925) in terms of random variables and show that it contains the usual (or familiar) continuous and discrete fo…
Information weighted sampling for detecting rare items in finite populations with a focus on security
André J. Hoogstrate, Chris A. J. Klaassen
Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only…
Discrete Spacings
Chris A. J. Klaassen, J. Theo Runnenburg
Consider a string of positions, i.e. a discrete string of length . Units of length are placed at random on this string in such a way that they do not overlap, and as oft…