11. Multiple-Decrement Theory

  1. S. David Promislow

Published Online: 13 JAN 2011

DOI: 10.1002/9781119971528.ch11

Fundamentals of Actuarial Mathematics, Second Edition

Fundamentals of Actuarial Mathematics, Second Edition

How to Cite

Promislow, S. D. (2010) Multiple-Decrement Theory, in Fundamentals of Actuarial Mathematics, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119971528.ch11

Author Information

  1. York University, Toronto, Canada

Publication History

  1. Published Online: 13 JAN 2011
  2. Published Print: 17 DEC 2010

ISBN Information

Print ISBN: 9780470684115

Online ISBN: 9781119971528



  • multiple-decrement theory - and multiple-decrement tables;
  • situations, where insured - subject to different events having financial impact;
  • event of withdrawal or lapse - terminating contract and receiving a cash value;
  • insurer, distinguishing between - causes of death;
  • multiple-decrement theory, in biostatistical contexts - and theory of competing risks;
  • quantities, calculated from multiple-decrement table;
  • multiple-decrement model - from the outset, specifying forces of decrement;
  • analogy with joint-life statuses - pairs subject to causes of failure, death of (x) and death of (y);
  • machine analogy, difficult part of multiple-decrement theory;
  • associated single-decrement tables - regular single-life table relating to death


This chapter contains sections titled:

  • Introduction

  • The basic model

  • Insurances

  • Determining the model from the forces of decrement

  • The analogy with joint-life statuses

  • A machine analogy

  • Associated single-decrement tables

  • Notes and references

  • Exercises