In this paper we propose an alternative method for constructing and computing the exact and the mid-P interval estimators for the difference of two independent binomial proportions. The suggested method is based on combining the so called consonance distributions for the binomial proportions....

Generalized Continuum Hypothesis is derived from a simple axiom called Axiom of Combinatorial Sets. Instructors are forewarned that the axiom is new and hence should be examined critically before using it

A class of measure-valued branching diffusions with interactive immigration is constructed by solving a stochastic integral equation with Poisson process based on a system of excursion laws of a Dawson-Watanabe superprocess, extending the results of Pitman and Yor (1982) and Shiga (1990)

In this paper I consider the effects of migration on the spread and speed of the propagation of new conventions, technologies, etc. I show that the speed of the propagation increases with the openness of the economy. The application of the model to the equilibrium selection in 2 × 2...

For : [0,1] → ℝ, we consider , the local time of spacetime Brownian motion on the curve . Let be the class of all functions whose Hölder norm of order is less than or equal to 1. We show that the supremum of over in is finite if and infinite if .Soit un mouvement brownien et soit le temps...

In this paper we consider the problem of best approximation in (), 1 ≤ ≤ ∞. If , 1 ≤ ∞, denotes the best -approximation of the element ∈ ℝ from a proper affine subspace of ℝ, ∉ , then , where is a best -approximation of from , the so-called natural best -approximation. Our aim...

New characterizations for the exponential distribution are given in terms of record values and the probabilities of finite sums of independent and identically distributed nonnegative random variables provided that the underlying distribution is either new better than used or new worse than used

The expected number of pairwise comparisons needed to learn a partial order on n elements is shown to be at least /4 − (), and an algorithm is given that needs only /4 + () comparisons on average. In addition, the optimal strategy for learning a poset with four elements is presented

The paper developes the model of optimal monopoly pricing under the viscous demand and customers turnover. The main findings are that the monopoly prices high during a fad, fads, however, are short lived