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Concerning a unified theory of obtaining sharp inequalities of Chebyshev's type, the author  used a geometrical method based on the theory of convex sets. The method used there and the results… (More)
This paper contains a study of inequalities of the type of Tchebycheff’s, i.e., inequalities for the probability value of a given event in terms of known moments. Suppose that there is given a set of… (More)
SummaryIn this paper we discuss the sharpness of Tchebycheff-type inequalities obtained by the standard method, and give a unified theory on sharp inequalities. The problem of existence of a… (More)
In this paper the values of supF info e(o, F) and info supF e(o, F) are found and conditions for the existence of a saddle point of e(o, F) are given. Also a saddle point is found when it exists.… (More)