On empirical likelihood for a semiparametric mixture model

Biometrika

Volumn 89, Issue 1, 2002, Pages 61-75

  Zou, F ^a   Fine, J P ^a   Yandell, B S ^a  

^a University of Wisconsin   (United States)

Author keywords

Boundary condition; Breeding experiment; Exponential tilt; Lagrange multiplier; Molecular marker; Profile likelihood; Weak convergence

Indexed keywords

ANIMALIA;

EID: 21344448281     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/89.1.61     Document Type: Article

References (28)

1. ANDERSON, J. A. (1979). Multivariate logistic compounds. Biometrika 66, 17-26.
2. CHURCHILL, G. A. & DOERGE, R. W. (1994). Empirical threshold values for quantitative trait mapping. Genetics 138, 963-71.
3. Cox, D. R. (1972). Regression models and life tables (with Discussion). J. R. Statist. Soc. B 34, 187-220.
4. Cox, D. R. (1975). Partial likelihood. Biometrika 62, 269-76.
5. DOERGE, R. W. & CHURCHILL, G. A. (1996). Permutation tests for multiple loci affecting a quantitative character. Genetics 142, 285-94.
6. DOERGE, R. W., ZENG, Z.-B. & WEIR, B. S. (1997). Statistical issues in the search for genes affecting quantitative traits in experimental populations. Statist. Sci. 12, 195-219.
7. DRINKWATER, N. R. & KLOTZ, J. H. (1981). Statistical methods for the analysis of tumor multiplicity data. Cancer Res. 41, 113-9.
8. DURRETT, R. (1991). Probability: Theory and Examples. New York: Wadsworth.
9. GHOSH, J. K. & SEN, P. K. (1985). On the asymptotic performance of the log-likelihood ratio statistic for the mixture model and related results. In Proc. Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, 2, Ed. L. M. Le Cam and R. A. Olshen, pp. 789-806. Monterey, CA: Wadsworth.
10. GOFFINET, B., LOISEL, P. & LAURENT, B. (1992). Testing in normal mixtures when the proportions are known. Biometrika 79, 842-6.
11. HALDANE, J. B. S. (1919). The combination of linkage values and the calculation of distances between the loci of linked factors. J. Genet. 8, 299-309.
12. HALL, P. (1981). On the non-parametric estimation of mixture proportions. J. R. Statist. Soc. B 43, 147-56.
13. HOSMER, D. W. (1973). A comparison of iterative maximum likelihood estimates of the parameters of a mixture of two normal distributions under three different types of sample. Biometrics 29, 761-70.
14. KNAPP, S. J., BRIDGES, W. C. & BIRKES, D. (1990). Mapping quantitative trait loci using molecular marker linkage maps. Theor. Appl. Genet. 79, 583-92.
15. KRUGLYAK, L. & LANDER, E. S. (1995). A nonparametric approach for mapping quantitative trait loci. Genetics 139, 1421-8.
16. LAN, H., KENDZIORSKI, C. M., HAAG, J. D., SHEPEL, L. A., NEWTON, M. A. & GOULD, M. N. (2001). Genetic loci controlling breast cancer susceptibility in the Wistar-Kyoto rat. Genetica 157, 331-9.
17. LANDER, E. S. & BOTSTEIN, D. (1989). Mapping Mendelian factors underlying quantitative traits using RFLP linkage maps. Genetica 121, 185-99.
18. LANDER, E. S. & KRUGLYAK, L. (1995). Genetic dissection of complex traits: guidelines for interpreting and reporting linkage results. Nature Genet. 11, 241-7.
19. MCLACHLAN, G. J. & BASFORD, K. E. (1988). Mixture Models. Inference and Applications in Clustering. New York: Marcel Dekker.
20. MURRAY, G. D. & TITTERINGTON, D. M. (1978). Estimation problems with data from a mixture. Appl. Statist. 27, 325-34.
21. OWEN, A. B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75, 237-49.
22. OWEN, A. B. (1990). Empirical likelihood confidence regions. Ann. Statist. 18, 90-120.
23. PATERSON, A., LANDER, E., LINCOLN, S., HEWITT, S., PETERSON, S. & TANKSLEY, S. (1988). Resolution of quantitative traits into Mendelian factors using a complete RFLP linkage map. Nature 335, 721-6.
24. QIN, J. (1993). Empirical likelihood in biased sample problems. Ann. Statist. 21, 1182-96.
25. QIN, J. (1998). Inferences for case-control and semiparametric two-sample density ratio models. Biometrika 85, 619-30.
26. QIN, J. (1999). Empirical likelihood ratio based confidence intervals for mixture proportions. Ann. Statist. 27, 1368-84.
27. QIN, J. & LAWLESS, J. F. (1994). Empirical likelihood and general estimating equations. Ann. Statist. 22, 300-25.
28. TITTERINGTON, D. M., SMITH, A. F. M. & MAKOV, U. E. (1985). Statistical Analysis of Finite Mixture Distributions. New York: Wiley.