Generalized linear mixed models with binary outcomes;
Random effects;
Direct search method;
Nonparametric maximum likelihood estimation;
CONVERGENCE;
D O I:
10.1016/j.csda.2013.05.014
中图分类号:
TP39 [计算机的应用];
学科分类号:
081203 ;
0835 ;
摘要:
An algorithm that computes nonparametric maximum likelihood estimates of a mixing distribution for a logistic regression model containing random intercepts and slopes is proposed. The algorithm identifies mixing distribution support points as the maxima of the gradient function using a direct search method. The mixing proportions are then estimated through a quadratically convergent method. Two methods for computing the joint maximum likelihood estimates of the fixed effects parameters and the mixing distribution are compared. A simulation study demonstrates the performance of the algorithms and an example using National Basketball Association data is provided. (C) 2013 Elsevier B.V. All rights reserved.
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South Africa
Ugwu, Chigozie Louisa J.
Zewotir, Temesgen T.
论文数: 0引用数: 0
h-index: 0
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South Africa
机构:
Univ Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, FranceUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France
Bouzebda, Salim
Khardani, Salah
论文数: 0引用数: 0
h-index: 0
机构:
Univ El Manar, Fac Sci Tunis, Lab Modelisat Math Anal Harmon Theorie Potentiel, Tunis, TunisiaUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France
Khardani, Salah
Slaoui, Yousri
论文数: 0引用数: 0
h-index: 0
机构:
Univ Poitiers, LMA Lab Math & Applicat, Poitiers, FranceUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South Africa
Ugwu, Chigozie Louisa J.
Zewotir, Temesgen T.
论文数: 0引用数: 0
h-index: 0
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, Westville Campus, Durban, South Africa
机构:
Univ Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, FranceUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France
Bouzebda, Salim
Khardani, Salah
论文数: 0引用数: 0
h-index: 0
机构:
Univ El Manar, Fac Sci Tunis, Lab Modelisat Math Anal Harmon Theorie Potentiel, Tunis, TunisiaUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France
Khardani, Salah
Slaoui, Yousri
论文数: 0引用数: 0
h-index: 0
机构:
Univ Poitiers, LMA Lab Math & Applicat, Poitiers, FranceUniv Technol Compiegne, LMAC Lab Appl Math Compiegne, Compiegne, France