We introduce a new approach to distribution fitting, called Decision on Beliefs (DOB). The objective is to identify the probability distribution function (PDF) of a random variable X with the greatest possible confidence. It is known that f X is a member of = { , , }. 1 m S f L f To reach this goal and select X f from this set, we utilize stochastic dynamic programming and formulate this proble...

Combining results presented in two papers in this Monthly yields the following elementary result. Any line of best fit for the zeros of a polynomial is a line of best fit for its critical points. This note gives a generalization of results on cubic polynomials presented in [1]. Our notation will follow that paper. A line of best fit for a set of points in the plane is defined, as in [1, p. 682]...

Iterative Proportional Fitting Procedure is commonly used in probability theory for construction of a joint probability distribution from a system of its marginals. A similar idea can be used in case of belief functions thanks to special operators of composition defined in this framework. In this paper, a formerly designed IPF procedure is further studied. We propose a modification of compositi...