Traffic measurements on a ring local area computer network at the Massachusetts Institute of Technology are presented. The analysis of the arrival pattern shows that the arrival processes are neither Poisson nor compound Poisson. An alternative model called “packet train” is proposed. In the train model, the traffic on the network consists of a number of packet streams between various pairs of ...

Traffic measurements on a ring local area computer network at the Massachusetts Institute of Technology are presented. The analysis of the arrival pattern shows that the arrival processes are neither Poisson nor compound Poisson. An alternative model called “packet train” is proposed. In the train model, the traffic on the network consists of a number of packet streams between various pairs of ...

Abstract: The compound decision problem for a vector of independent Poisson random variables with possibly different means has half a century old solution. However, it appears that the classical solution needs smoothing adjustment even when there are many observations and relatively small means such that the empirical distribution is close to its mean. We discuss three such adjustments. We also...

We consider epidemics in populations that are partitioned into small groups known as households. Whilst infectious, a typical infective makes global and local contact with individuals chosen independently and uniformly from the whole population or their own household, as appropriate. Previously, the classical Poisson approximation for the number of survivors of a severe epidemic has been extend...

background: the study was developed in order to find a subset of potential factors, which affect birth distance pattern, regarding consideration on correlation of events of birth in a family and correlation within clusters/centers which other studies omit these correlations. methods: referring to documents that were registered for family in the health care centers on socio-economical zone, we c...

INTRODUCTION Population aging translates into more people with chronic non-communicable diseases, disability, frailty and dependency. The study of frailty--a clinical syndrome associated with an increased risk of falls, disability, hospitalization, institutionalization and death--is important to improve clinical practice and population health indicators. OBJECTIVES In a cohort of older adults...

In this paper we carry out analysis and geometry for a class of infinite dimensional manifolds, namely, compound configuration spaces as a natural generalization of the work [AKR98a]. More precisely a differential geometry is constructed on the compound configuration space ΩX over a Riemannian manifold X. This geometry is obtained as a natural lifting of the Riemannian structure on X. In partic...

The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. In this note, we give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood. Most of the properties given are hitherto unknown.

This paper presents a method for the evaluation of the compound Generalized Poisson distribution, based on the recursive evaluation of two other distributions.

Consider the sequences fX i g m i=1 and fY i g n j=1 of independent random variables , which take values in a nite alphabet, and assume that the variables X 1 ; X 2 ; : : : and Y 1 ; Y 2 ; : : : follow the distributions and , respectively. Two variables X i and Y j are said to match if X i = Y j. Let the number of matching subsequences of length k between the two sequences, when r, 0 r < k, mis...