Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-27T12:32:54.898Z Has data issue: false hasContentIssue false
  • English
  • Français

Cumulative constrained sojourn times in semi-Markov processes with an application to pensionable service

Published online by Cambridge University Press:  14 July 2016

Izzet Sahin
Izzet Sahin*
Affiliation:
University of Ottawa
*
∗Now at the University of Wisconsin — Milwaukee.
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is concerned with the characterization of the cumulative pensionable service over an individual's working life that is made up of random lengths of service in different employments in a given industry, under partial coverage, transferability, and a uniform vesting rule. This characterization uses some results that are developed in the paper involving a functional and cumulative constrained sojourn times (constrained in the sense that if a sojourn time is less than a given constant it is not counted) in semi-Markov processes.

Keywords

CONSTRAINED SOJOURN TIMESSEMI-MARKOV PROCESSESA FUNCTIONAL OF SEMI-MARKOV PROCESSESPENSIONABLE SERVICEVESTINGCOVERAGEPORTABILITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 3 , September 1978 , pp. 531 - 542
Copyright
Copyright © Applied Probability Trust 1978 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Balcer, Y. and Sahin, I. (1977) On the estimation of pensionable service — a probabilistic analysis. Working Paper No. 77–6, Faculty of Management Sciences, University of Ottawa.Google Scholar
[2] Bartholemew, D. J. (1973) Stochastic Models for Social Processes, 2nd edn. Wiley, London.Google Scholar
[3] Bell, D. R. (1975) Prevalence of private retirement plans. Monthly Labor Review 98 (10).Google Scholar
[4] Çinlar, E. (1969) Markov renewal theory. Adv. Appl. Prob. 1, 123–187.CrossRefGoogle Scholar
[5] Fisher, C. H. (1970) Vesting and Termination Provisions In Private Pension Plans. American Enterprise Institute.Google Scholar
[6] Marples, W. F. (1965) Actuarial Aspects of Pension Security. Irwin, New York.Google Scholar
[7] Mcgill, D. M. (1954) Fundamentals of Private Pensions. Irwin, New York.Google Scholar
[8] Sahin, I. and Balcer, Y. (1976) Stochastic models for pensionable service. Working Paper No. 76–23, Faculty of Management Sciences, University of Ottawa.Google Scholar
[9] Schiller, B. R. and Weiss, R. (1976) The impact of private pensions on firm attachment. University of Maryland Mimeograph, November 1976.Google Scholar
[10] Skolnik, A. M. (1976) Private pension plans 1950–1974. Social Security Bulletin 39 (6).Google Scholar