Composed Poisson distributions

On Poisson and Composed Poisson Stochastic Set Functions

Several investigations has recently been made concerning Poisson and composed Poisson stochastic processes. The ordinary Poisson process is conceivable as a sequence of points, distributed at random on the time axis and this idea can be generalized to more than onedimensional spaces. The latter case occurs in making a blood-count, in counting stars, etc. In [8], [4], [6] and [15] conditions are...

ON COMPOSED POISSON DISTRIBUTIONS , IV ( Remarks on the theory of differential processes ) András

Poisson Distributions for ' 4

In an attempt to avoid triviality for relativistic quantum ' 4 n theories for space-time dimensions n 5, and possibly n = 4 as well, an additional, nonclassical, nonpolynomial, local potential is included, along with standard factors, in a lattice-regularized formulation of the model. It is argued that if the additional term redistributes the eld probability in the manner characteristic of a ge...

Testing Poisson Binomial Distributions

A Poisson Binomial distribution over n variables is the distribution of the sum of n independent Bernoullis. We provide a sample near-optimal algorithm for testing whether a distribution P supported on {0, . . . , n} to which we have sample access is a Poisson Binomial distribution, or far from all Poisson Binomial distributions. The sample complexity of our algorithm is O(n) to which we provid...

Poisson Reduction by Distributions

It is shown that the singular Poisson reduction procedure can be improved for a large class of situations. In addition, Poisson reduction of orbit type manifolds is carried out in detail. Mathematics Subject Classification (2000). 53D17, 37J15, 58A30.