Gao, Wei, Bergsma, Wicher  ORCID: 0000-0002-2422-2359 and Yao, Qiwei
ORCID: 0000-0002-2422-2359 and Yao, Qiwei  ORCID: 0000-0003-2065-8486 
  
(2017)
Estimation for dynamic and static panel probit models with large individual effects.
    Journal of Time Series Analysis, 38 (2).
     pp. 266-284.
     ISSN 0143-9782
ORCID: 0000-0003-2065-8486 
  
(2017)
Estimation for dynamic and static panel probit models with large individual effects.
    Journal of Time Series Analysis, 38 (2).
     pp. 266-284.
     ISSN 0143-9782
  
  
  
  
  
    
  
    
      
      
    
  
  
      
  
    
  
  
    Abstract
    For discrete panel data, the dynamic relationship between successive observations is often of interest. We consider a dynamic probit model for short panel data. A problem with estimating the dynamic parameter of interest is that the model contains a large number of nuisance parameters, one for each individual. Heckman proposed to use maximum likelihood estimation of the dynamic parameter, which, however, does not perform well if the individual effects are large. We suggest new estimators for the dynamic parameter, based on the assumption that the individual parameters are random and possibly large. Theoretical properties of our estimators are derived, and a simulation study shows they have some advantages compared with Heckman's estimator and the modified profile likelihood estimator for fixed effects.
  
  
  
  
  
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