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Time Series Analysis of the Sex Composition of the Unemployed

Published online by Cambridge University Press:  11 August 2014

S. Haberman
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Extract

This paper describes the use of time series analysis in the solution of a problem arising in social insurance. As part of a model which estimates the future cost of unemployment benefit the Government Actuary's Department (GAD) is required to forecast the proportion of the unemployed in future calendar quarters, who are male. The format of the paper is to describe forecasting in general terms in §1 and the particular problem under consideration in §2. In subsequent sections, the data available (§ 3), the existing forecasting model (§ 4) and alternative time series models (§§ 5–8) are described.

The everyday job of the actuary involves the estimation of a future series of events. Examples include the estimation of future streams of liability outgo and asset income in life assurance, the run-off of outstanding claims in nonlife insurance, and the future numbers of persons in a subgroup of the total population. This estimation can be qualitative or quantitative, short-term or long-term, deterministic or stochastic and will involve the establishment of a mathematical-statistical model, and the determination of the relevant parameters by an analysis of the data available.

Type
Research Article
Information
Journal of the Staple Inn Actuarial Society , Volume 26 , August 1983 , pp. 153 - 178
Copyright
Copyright © Institute of Actuaries Students' Society 1983

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References

REFERENCES

(1) Miller, R.B. and Hickman, J.C. (1974) ‘Time Series Analysis and Forecasting’ Trans. Soc. Act. 26, 267.Google Scholar
(2) Benjamin, S. (1976) ‘Maturity Guarantees for Equity Linked Policies’ Proc. 20th Int. Cong. of Actuaries, 2, 17.Google Scholar
(3) Wilkie, A.D. (1976) ‘The Rate of Interest as a Stochastic Process—Theory and Applications’ Proc. 20th Int. Cong. of Actuaries 2, 325.Google Scholar
(4) Fagan, J.C. (1977) ‘Maturity guarantees under investment linked contracts’. Occasional Actuarial Research Discussion Papers No. 22.Google Scholar
(5) Pollard, J.H. (1978) ‘Premium Loadings for Non Participating Business’ J.I.A., 103, 205.Google Scholar
(6) Scott, W.F. (1977) ‘Reserve Basis for Maturity Guarantees in Unit Linked Life Assurance’ T.F.A. 35, 365.Google Scholar
(7) Wilkie, A.D. (1978) ‘Maturity and Other Guarantees Under Unit Linked Policies’ T.F.A. 36, 27.Google Scholar
(8) Ford, P.E.B. and Masters, N.B. (1979) ‘An Investigation into the Financing of Flexible Endowment Business’ J.I.A. 106, 149.Google Scholar
(9) Ford, A., Benjamin, S., Gillespie, R.G., Hager, D.P., Loades, D.H., Rowe, B.N., Ryan, J.P., Smith, P. and Wilkie, A.D. (1980) ‘Report of the Maturity Guarantees Working Party’ J.I.A. 107, 101.Google Scholar
(10) Continuous Mortality Investigation Bureau (1978) Report No. 3: Proposed Standard Tables for Life Office Pensioners and Annuitants. Institute of Actuaries.Google Scholar
(11) Haberman, S. (1982) ‘Time Series Analysis of the Probability of Survival as Unemployed’ Unpublished.Google Scholar
(12) Box, G.E.P. and Jenkins, G.M. (1970) ‘Time Series Analysis, Forecasting and Control’ Holden Day. San Francisco.Google Scholar
(13) Department of Employment Gazette (1977) 85 No. 6, 587.Google Scholar
(14) Department of Employment Gazette (1978) 86 No. 4, 426.Google Scholar
(15) Chatfield, C. (1978) ‘The Holt–Winters Forecasting Procedure Applied Statistics 27, 264.CrossRefGoogle Scholar
(16) Makridakis, S. and Hibon, M. (1979) ‘Accuracy of Forecasting: An Empirical Investigation. J.R. Stat. Soc. A 142, 97.Google Scholar
(17) Winters, P.R. (1960) ‘Forecasting Sales by Exponentially Weighted Moving Averages. Management Science 6, 324.CrossRefGoogle Scholar
(18) Newbold, P. and Granger, C.W.J. (1974) ‘Experience with Forecasting Univariate Time Series and the Combination of Forecasts. J.R. Stat. Soc. A 137, 131.Google Scholar
(19) Chatfield, C. (1977) ‘Recent Developments in Time Series Analysis’ J.R. Stat. Soc. A. 140, 492.CrossRefGoogle Scholar
(20) Plymen, J. and Prevett, R.M. (1971) ‘The Computer for Investment Research’ T.F.A. 33, 143.Google Scholar
(21) Johnston, J. (1972) Econometric Methods. (Second edn). McGraw Hill, New York.Google Scholar
(22) Nie, N.H., Hadkin Hull, C., Jenkins, J.E., Steinbrenner, K. Statistical Package for the Social Services. Second Edition. McGraw Hill, New York.Google Scholar
(23) Draper, N.R. and Smith, H. (1966). Applied Regression Analysis. Wiley, New York.Google Scholar