›› 2018, Vol. 30 ›› Issue (10): 40-48.

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Reject Inference in Credit Score Model Based on Semi-parametric Method

Xia Liyu1,2, He Xiaoqun2   

  1. 1. State Grid Energy Research Institute, Beijing 102209;
    2. Center for Applied Statistics, Renmin University of China, Beijing 100872
  • Received:2016-06-17 Online:2018-10-28 Published:2018-10-23

Abstract:

Reject inference can be considered a specific case of non-ignorable missing data analysis. It can deal with the biased estimation of model parameters caused by sample bias in credit score model resulting from absence of the credit quality of rejected applicants. Based on the semi-parametric regression model of mean function with non-ignorable missing response proposed in Kim and Yu (2011), we propose an iterative semi-parametric method to infer credit-quality data with non-ignorable missing mechanism. Simulation studies in 5 missing scenarios are implemented and empirical studies with Australian dataset and bank of C dataset are conducted. The results demonstrate that our method is a relatively conservative approach that can effectively identify the "bad" applicants and reduces credit risk faced by financial institutions.

Key words: credit score model, reject inference, semi-parametric estimation, non-ignorable missing