We develop a family of upper and lower bounds on the worst-case expected KL loss for estimating a discrete distribution on a finite number m of points, given N i.i.d. samples. Our...
We present a new series of run-rich strings, and give a new lower bound 0.94457567 of the maximum number of runs in a string. We also introduce the general conjecture about a asymp...
In this paper wesuggest a wayof using the rules of System P to propagate lower bounds on conditional probabilities. Usinga knowledgebase of default rules whichart, consideredto be...
We present both probabilistic and constructive lower bounds on the maximum size of a set of points S Rd such that every angle determined by three points in S is acute, considerin...
We give an extension of the lower bound of [9] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the p...