Some inequalities and their application for estimating the moments of guessing mappings
Mathematical and Computer Modelling: An International Journal
Estimation of arithmetic means and their applications in guessing theory
Mathematical and Computer Modelling: An International Journal
Hi-index | 754.84 |
In the above paper by E. Arikan (see ibid., vol.42, no.1, p.99-105, 1996) an asymptotically tight upper bound on the ρth moment (ρ⩾0) of the minimal number of guesses required to determine the value of a random variable was derived. We show that we can tighten this bound for the case of positive integer moments (when ρ=1, the bound is improved by a factor of 2) and that the new bound also applies to a class of nonminimal guessing sequences