ABSTRACT

To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.

chapter Chapter 1|12 pages

Introduction

chapter Chapter 2|38 pages

The mixed Poisson distribution

chapter Chapter 3|8 pages

Some basic concepts

chapter Chapter 4|24 pages

The mixed Poisson process

chapter Chapter 5|18 pages

Some related processes

chapter Chapter 6|31 pages

Characterization of mixed Poisson processes

chapter Chapter 7|12 pages

Reliability properties of mixed Poisson processes

chapter Chapter 8|62 pages

Compound mixed Poisson distributions

chapter Chapter 9|42 pages

The risk business