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Monotonicity in the Sample Size of the Length of Classical Confidence Intervals
Gamma function Location and scale parameters Stochastic monotonicity
2012/3/1
It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decrease with the sample size. The proofs are based on fine propert...
Random Sequential Generation of Intervals for the Cascade Model of Food Webs
food chain asymptotic length Poisson approximation Sequential interval generation
2011/7/6
The cascade model generates a food web at random. In it the species are labeled from 0 to $m$, and arcs are given at random between pairs of the species. For an arc with endpoints $i$ and $j$ ($i
Assume the Riemann Hypothesis. For every ǫ > 0 we show that there is a constant C(ǫ) such that for all large x, the interval [x, x + C(ǫ)px] contains an integer all of whose prime facto...
