A maximum likelihood estimation procedure for the generalized linear model with restrictions

South African Statistical Journal

Volumn 32, Issue 2, 1998, Pages 119-144

  Matthews, G B ^a   Crowther, N A S ^b  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

^b UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

Constraints; Generalized linear models; Logistic regression; Maximum likelihood estimation; Poisson regression; Splines

Indexed keywords

EID: 22644450589     PISSN: 0038271X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. AITCHISON, J. & SILVER S.D. (1958). Maximum-likelihood estimation of parameters subject to constraints. Ann. Math. Statist., 29, 813-828.
2. HEWLETT, P.S. & PLACKETT, R.L. (1950). Statistical aspects of the independent joint action of poisons, particularly insecticides. II. Examination of data for agreement with the hypothesis. Annals of Applied Biology, 37, 527-552.
3. MATTHEWS, G.B. & CROWTHER, N.A.S. (1995). A maximum likelihood estimation procedure when modelling in terms of constraints. South African Statist. J., 29(1), 29-51.
4. McCULLAGH, P. & NELDER, J.A. (1989) 3rd ed. Generalized linear models. London: Chapman & Hall.
5. MONTGOMERY D.C. & PECK, E.A. (1992) 2nd ed. Introduction to linear regression analysis. New York: John Wiley & Sons, Inc.
6. NELDER, J. & WEDDERBURN, R.W.M. (1972). Generalized linear models. J. Roy. Statist. Soc. A, 135, 370-384.
7. NYQUIST, H. (1991). Restricted estimation of generalized linear models. J. Appl. Statist. 40, No. 1, 133-141.
8. SAS/STAT User's guide, version 6, 4th ed., vol. 2. Cary NC:SAS Institute Inc., 1990.