Jan Crandall is Professor of Mathematical Statistics in the Department of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.

• Preface -- 1 Introduction -- 2 The mixed Poisson distribution -- 3 Some basic concepts -- 4 The mixed Poisson process -- 5 Some related processes -- 5.1 Cox processes -- 5.2 Gauss-Poisson processes -- 5.3 Mixed renewal processes -- 6 Characterization of mixed Poisson processes -- 6.1 Characterization within birth processes -- 6.2 Characterization within stationary point processes -- 6.3 Characterization within general point processes -- 7 Reliability properties of mixed Poisson processes -- 8 Compound mixed Poisson distributions -- 8.1 Compound distributions -- 8.2 Exponential bounds -- 8.3 Asymptotic behaviour -- 8.4 Recursive evaluation -- 9 The risk business -- 9.1 The claim process -- 9.2 Ruin probabilities -- References and author index -- List of notation -- Subject index.

Jan Crandall is Professor of Mathematical Statistics in the Department of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.

• Preface -- 1 Introduction -- 2 The mixed Poisson distribution -- 3 Some basic concepts -- 4 The mixed Poisson process -- 5 Some related processes -- 5.1 Cox processes -- 5.2 Gauss-Poisson processes -- 5.3 Mixed renewal processes -- 6 Characterization of mixed Poisson processes -- 6.1 Characterization within birth processes -- 6.2 Characterization within stationary point processes -- 6.3 Characterization within general point processes -- 7 Reliability properties of mixed Poisson processes -- 8 Compound mixed Poisson distributions -- 8.1 Compound distributions -- 8.2 Exponential bounds -- 8.3 Asymptotic behaviour -- 8.4 Recursive evaluation -- 9 The risk business -- 9.1 The claim process -- 9.2 Ruin probabilities -- References and author index -- List of notation -- Subject index.

Jan Crandall is Professor of Mathematical Statistics in the Department of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.

• Preface -- 1 Introduction -- 2 The mixed Poisson distribution -- 3 Some basic concepts -- 4 The mixed Poisson process -- 5 Some related processes -- 5.1 Cox processes -- 5.2 Gauss-Poisson processes -- 5.3 Mixed renewal processes -- 6 Characterization of mixed Poisson processes -- 6.1 Characterization within birth processes -- 6.2 Characterization within stationary point processes -- 6.3 Characterization within general point processes -- 7 Reliability properties of mixed Poisson processes -- 8 Compound mixed Poisson distributions -- 8.1 Compound distributions -- 8.2 Exponential bounds -- 8.3 Asymptotic behaviour -- 8.4 Recursive evaluation -- 9 The risk business -- 9.1 The claim process -- 9.2 Ruin probabilities -- References and author index -- List of notation -- Subject index.