Recent developments in nonparametric marginal likelihood have generated a very general, but readily operationalized, method of overcoming the nuisance parameter problem in stochastic models. Theoretical, empirical, and simulation analyses show that the nonparametric approach seriously undermines the modeling advantages traditionally associated with the mover-stayer model. Moreover, the goodness-of-fit success often achieved by the mover-stayer model is shown to have a plausible explanation not requiring a true mover/stayer dichotomy in the population.
Get full access to this article
View all access options for this article.
References
1.
BOCK, R. D.
and M. AITKIN (1981) “Marginal maximum likelihood estimation of item parameters: application of an EM algorithm.”Psychometrika46: 443-459.
2.
BRESLOW, N. E.
(1984) “Extra-Poisson variation in log-linear models.”Applied Statistics33: 38-44.
3.
CLARK, W. A. V.
, J. O. HUFF, and J. E. BURT (1979) “Calibrating a model of the decision to move.”Environment and PlanningA11: 689-704.
4.
CROUCHLEY, R.
, R. B. DAVIES, and A. R. PICKLES (1982) “Identification of some recurrent choice processes.”J. of Mathematical Sociology9: 63-73.
5.
DAVIES, R. B.
and R. CROUCHLEY (1984) “Calibrating longitudinal models of residential mobility and migration; an assessment of a nonparametric marginal likelihood approach.”Regional Sci. and Urban Economics14: 231-247.
6.
DAVIES, R. B.
, R. CROUCHLEY, and A. R. PICKLES (1982a) “Modelling the evolution of heterogeneity in residential mobility.”Demography19: 291-299.
7.
DAVIES, R. B.
and A. R. PICKLES (1985) “A panel study of life cycle effects in residential mobility.”Geographical Analysis17: 199-215.
8.
DAVIES, R. B.
, A. R. PICKLES, and R. CROUCHLEY (1982b) “Event history testing; effects in a collection of event series.”Soc. Methods & Research10: 285-302.
9.
DAVIES, R. B.
, A. R. PICKLES, and R. CROUCHLEY (1983) “Some methods for the testing and estimation of dynamic models which use panel data.”Environment and PlanningA15: 1475-1488.
10.
ELBERS, C.
and G. RIDDER (1982) “True and spurious duration dependence: the identifiability of the proportional hazard model.”Rev. of Economic Studies49: 403-409.
11.
EVERITT, B. S.
and D. J. HAND (1981) Finite Mixture Distributions. London: Chapman and Hall.
12.
FRYDMAN, H.
(1984) “Maximum likelihood estimation in the mover-stayer model.”J. of the Amer. Stat. Assn.79: 632-638.
13.
GOODMAN, L. A.
(1961) “Statistical methods for the mover-stayer model.”J. of the Amer. Stat. Assn.56: 841-868.
14.
HAUSMAN, J. A.
(1978) “Specification tests in econometrics.”Econometrica46: 1251-1271.
15.
HECKMAN, J. J.
and B. SINGER (1982) “Population heterogeneity in demographic models,” pp. 567-599 in K. C. Land and A. Rogers (eds.) Multidimensional Mathematical Demography. New York: Free Press.
16.
HECKMAN, J. J.
and B. SINGER (1984a) “The identifiability of the proportional hazard model.”Rev. of Economic Studies51: 231-241.
17.
HECKMAN, J. J.
and B. SINGER(1984b) “A method for minimizing the impact of distributional assumptions in econometric models for duration data.”Econometrica52: 271-320.
18.
KIEFER, J.
and J. WOLFOWITZ (1956) “Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters.”Annals of Mathematical Statistics27: 887-906.
19.
LAIRD, N.
(1978) “Nonparametric maximum likelihood estimation of a mixing distribution.”J. of the Amer. Stat. Assn.73: 805-811.
20.
LINDSAY, B. G.
(1983) “The geometry of mixture likelihoods, part 1: a general theory.”Annals of Statistics11: 86-94.
21.
MASSY, W. F.
, D. M. MONTGOMERY, and D. G. MORRISON (1970) Stochastic Models of Buying Behaviour. Cambridge, MA: MIT Press.
22.
MORGAN, T. M.
, C. S. ANESHENSEL, and V. A. CLARK (1983) “Parameter estimation for mover-stayer models: analyzing depression over time.”Soc. Methods & Research11: 345-366.
23.
NAG
(1983) Numerical Algorithm Group Library Manual, 11th Release. Oxford, England: Numerical Algorithm Group.
24.
NEYMAN, J.
and E. SCOTT (1948) “Consistent estimates based on partially consistent observations.”Econometrica16: 1-32.
25.
SIMAR, L.
(1976) “Maximum likelihood estimation of a compound Poisson process.”Annals of Statistics4: 1200-1209.
26.
SINGER, B.
and S. SPILERMAN (1976) “Some methodological issues in the analysis of longitudinal surveys.”Annals of Economic and Social Measurement5: 447-474.
27.
WILLIAMS, D. A.
(1982) “Extra-binomial variation in logistic linear models.”Applied Statistics31: 144-148.