We consider a situation where the state of a large number of independent pure birth processes, with common birth intensities, are observed at two time points. Estimates are derived, both when no restriction is placed on the intensities, and when they are assumed to follow a certain parametric model which assumes that the birth intensities are increasing. This is an assumptions that is sometimes...

Data on body weight of pure-bred kittens (Maine Coon, Norwegian Forest Cat, Birman, Persian, Siamese/Oriental Shorthair Cat) from birth (n 245) to 12 weeks of age (n 135) were obtained from breeders. Absolute birth weight (in g) was higher in larger breeds than in smaller breeds, whereas relative birth weight (in % of mature female weight) tended to be higher in smaller breeds (Maine Coon 115 g...

The classical models in risk theory consider a single type of claims. In the insurance business, however, several business lines with separate claim arrival processes appear naturally, and the individual claim processes may not be independent. We introduce a new class of models for such situations, where the underlying counting process is a multivariate continuous time Markov chain of pure birt...

The projection method obtains non-trivial point processes from higher dimensional Poisson point processes by constructing a random subset of the higher dimensional space and projecting the points of the Poisson process lying in that set onto the lower dimensional region. This paper presents a review of this method related to spatial point processes as well as some examples of its applications. ...

We consider a branching particle system where particles reproduce according to the pure birth Yule process with the birth rate λ, conditioned on the observed number of particles to be equal to n. Particles are assumed to move independently on the real line according to the Brownian motion with the local variance σ(2). In this paper we treat n particles as a sample of related species. The spatia...