TY - JOUR
T1 - Testing for outliers in nonlinear longitudinal data models based on M-estimation
AU - Huihui Sun
JO - Journal of Information and Computing Science
VL - 2
SP - 107
EP - 112
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22486.html
KW -  M-estimation
KW -   nonlinear  mixed  models
KW -   longitudinal  data
KW -   testing  for  outliers
KW -   generalized 
Cook’s distance. 

AB -  In  this  paper  we  propose  and  analyze  nonlinear  mixed-effects  models  for  longitudinal  data, 
obtaining  robust  maximum  likelihood  estimates  for  the  parameters  by  introducing  Huber’s  function  in  the 
log-likelihood  function.  Furthermore,  the  test  for  outliers  in  the  model  based  on  robust  estimation  is 
investigated  through  generalized  Cook’s  distance.  The  obtained  results  are  illustrated  by  plasma 
concentrations data presented in Davidian and Giltiman, which was analyzed under the non-robust situation.