THE COMPOSITE LOGNORMAL DISTRIBUTION, ITS EXTENSIONS APPLICATIONS

  • Jiahang Lyu

Student thesis: Phd

Abstract

The composite lognormal distribution is a popular model for among others insurance data. This thesis is about theory and applications of the composite lognormal distribution. We derive among others the Fisher information matrix and a discrete version of the composite lognormal distribution. We also attempt to give a bivariate and a multivariate version of the composite lognormal distribution. Applications discussed use Canadian net wealth data, cumulative coal production data and insurance data.
Date of Award1 Aug 2022
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorPeter Foster (Supervisor) & Saraleesan Nadarajah (Supervisor)

Keywords

  • Bivariate and multivariate distribution
  • Insurance data
  • Composite distribution
  • Lognormal distribution

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