Citation: Bill Huajian Yang. Resolutions to flip-over credit risk and beyond-least squares estimates and maximum likelihood estimates with monotonic constraints[J]. Big Data and Information Analytics, 2018, 3(2): 54-67. doi: 10.3934/bdia.2018007
[1] | Anderson R, (2007) The Credit Scoring Toolkit: Theory and Practice for Retail Credit Risk Management and Decision Automation, Oxford: Oxford University Press. |
[2] | Barlow RE, Bartholomew DJ, Bremner JM, et al. (1972) Statistical inference under order restrictions: The theory and application of isotonic regression, New York: Wiley. |
[3] | Best MJ, Chakravarti N, (1990) Active set algorithms for isotonic regression; A unifying framework. Math Program 47: 425–439. doi: 10.1007/BF01580873 |
[4] | Eichenberg T, (2018) Supervised weight of evidence binning of numeric variables and factors, R-Package Woebinning. |
[5] | Friedman J, Tibshirani R, (1984) The monotone smoothing of scatterplots. Technometrics 26: 243–250. doi: 10.1080/00401706.1984.10487961 |
[6] | Kotlowski W, Slowinski R, (2009) Rule learning with monotonicity constraints. Proceedings of the 26th Annual International Conference on Machine Learning, 537–544. |
[7] | KotsiantisS, KanellopoulosD, (2006) Discretization techniques: A recent survey. GESTSInt Trans Comput Sci Engin 32: 47–58. |
[8] | Leeuw JD, Hornik K, Mai P, (2009) Isotone optimization in R: Pool-adjacent-violators algorithm (PAVA) and active set methods. J stat software 32. |
[9] | Nocedal J, Wright SJ, (2006) Numerical Optimization, 2 Eds.,New York: Springer. |
[10] | Papke LE, Wooldrige JM, (1996) Econometric methods for fraction response variables with application to 401 (k) plan participation rates. J Appl Econometrics 11: 619–632. doi: 10.1002/(SICI)1099-1255(199611)11:6<619::AID-JAE418>3.0.CO;2-1 |
[11] | Potharst R, Feelders AJ, (2002) Classification trees for problems with monotonicity constraints. SIGKDD Explor 14: 1–10. |
[12] | Ramsay JO, Wickham H, Graves S, et al. (2018) Package 'fda'-CRAN.R-Project, 265–267 |
[13] | Robertson T, Wright FT, Dykstra RL, (1998) Order Restricted Stat Inference, New Jersey: John Wiley and Sons. |
[14] | SAS Institute Inc (2014) SAS/STAT(R) 13.2 User's Guide. |
[15] | Siddiqi N, (2006) Credit risk scorecards: Developing and implementing intelligent credi scoring. Hoboken, New Jersey: John Wiley and Sons. |
[16] | Tasche D, (2013) The art of PD curve calibration. J Credit Risk 9: 63–103. doi: 10.21314/JCR.2013.169 |
[17] | Van der Burgt M, (2008) Calibrating low-default portfolios, using the cumulative accuracy profile. J Risk Model validation 1: 17–33. doi: 10.21314/JRMV.2008.016 |
[18] | Yang BH, (2018) Smoothing algorithms by constrained maximum likelihood. J Risk Model Validation 12: 89–102. |
[19] | You S, Ding D, Canini K, et al. (2017) Deep lattice networks and partial monotonic functions. 31st Conf Neural Inf Process Syst (NIPS). |