Tweedie family of generalized linear models with distribution‐free random effects for skewed longitudinal data

• Published in: Statistics in medicine Vol. 37; no. 24; pp. 3519 - 3532
• Main Authors: Ma, Renjun, Yan, Guohua, Hasan, M. Tariqul
• Format: Journal Article
• Language: English
• Published: England Wiley Subscription Services, Inc 30.10.2018
• Subjects: best linear unbiased predictors; exponential dispersion model; Generalized linear models; Medical research; Medical statistics; mixed models; overdispersion; power family; Regression analysis; Taylor's law; Taylor's law; exponential dispersion model; mixed models; power family; best linear unbiased predictors; overdispersion

Generalized linear mixed models have played an important role in the analysis of longitudinal data; however, traditional approaches have limited flexibility in accommodating skewness and complex correlation structures. In addition, the existing estimation approaches generally rely heavily on the spe...