Local multiplicative bias correction for asymmetric kernel density estimators

Journal of Econometrics

Volumn 141, Issue 1, 2007, Pages 213-249

  Hagmann, M ^a   Scaillet, O ^a  

^a SWISS FINANCE INSTITUTE   (Switzerland)

Author keywords

Asymmetric kernel; Health insurance; Income distribution; Loss distribution; Semiparametric density estimation; Specification testing

Indexed keywords

HEALTH INSURANCE; MATHEMATICAL MODELS; SAMPLING;

ASYMMETRIC KERNEL; SEMIPARAMETRIC DENSITY ESTIMATION;

PARAMETER ESTIMATION;

EID: 34548671837     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2007.01.018     Document Type: Article

References (44)

1. Abadir M.K., and Lawford S. Optimal asymmetric kernels. Economics Letters 83 (2004) 61-68
2. Abramson I.S. On bandwidth variation in kernel estimates-a square root law. The Annals of Statistics 10 (1982) 1217-1223
3. Ai{dotless}̈t-Sahalia Y. Nonparametric pricing of interest rate derivative securities. Econometrica 64 (1996) 527-560
4. Ai{dotless}̈t-Sahalia Y. Continuous-time models of the spot interest rate. The Review of Financial Studies 9 (1996) 385-426
5. Bickel P.J., and Rosenblatt M. On some global measures of the deviations of density function estimates. The Annals of Statistics 1 (1973) 1071-1095
6. Bolancé C., Guillen M., and Nielsen J.P. Kernel density estimation of actuarial loss functions. Insurance: Mathematics and Economics 32 (2003) 3-18
7. Bouezmarni T., and Scaillet O. Consistency of asymmetric kernel density estimators and smoothed histograms with application to income data. Econometric Theory 21 (2005) 390-412
8. Chen S.X. A beta kernel estimator for density functions. Computational Statistics and Data Analysis 31 (1999) 131-145
9. Chen S.X. Probability density function estimation using gamma kernels. Annals of the Institute of Statistical Mathematics 52 (2000) 471-480
10. Chen S.X. Local linear smoothers using asymmetric kernels. Annals of the Institute of Statistical Mathematics 54 (2002) 312-323
11. Cowell F. Measurement of inequality. In: Atkinson A., and Bourguignon F. (Eds). Handbook of Income Distribution (1999), North-Holland, Amsterdam
12. Cowell F., Ferreira F., and Litchfield J. Income distribution in Brazil 1981-1990: parametric and non-parametric approaches. Journal of Income Distribution 8 (1998) 63-76
13. Cox J.C., Ingersoll J.E., and Ross S.A. A theory of the term structure of interest rates. Econometrica 53 (1985) 385-408
14. Engle R.F. The econometrics of ultra-high frequency data. Econometrica 68 (2000) 1-22
15. Fan Y. Bootstrapping a consistent nonparametric goodness-of-fit test. Econometric Reviews 14 (1995) 367-382
16. Fan Y. Goodness-of-fit tests based on kernel density estimators with fixed smoothing parameters. Econometric Theory 14 (1998) 604-621
17. Fan J., and Gijbels I. Variable bandwidth and local linear regression smoothers. The Annals of Statistics 20 (1992) 2008-2036
18. Fan J., and Gijbels I. Local Polynomial Modelling and its Applications (1996), Chapmann & Hall, London
19. Fernandes M., and Grammig J. Nonparametric specification tests for conditional duration models. Journal of Econometrics 127 (2005) 35-68
20. Fernandes M., and Monteiro P.K. Central limit theorem for asymmetric kernel functionals. Annals of the Institute of Statistical Mathematics 57 (2005) 425-442
21. Gouriéroux, Ch., Jasiak, J., 2001. Local likelihood density estimation and value at risk. Discussion Paper CREST and CEPREMAP.
22. Gouriéroux Ch., Monfort A., and Trognon A. Pseudo maximum likelihood methods: theory. Econometrica 52 (1984) 680-700
23. Gozalo P., and Linton O.B. Local nonlinear least squares: using parametric information in nonparametric regression. Journal of Econometrics 99 (2000) 63-106
24. Hagmann, M., Scaillet, O., 2003. Local multiplicative bias correction for asymmetric kernel density estimators. FAME Working Paper 91.
25. Hagmann M., Renault O., and Scaillet O. Estimation of recovery rate densities: non-parametric and semi-parametric approaches versus industry practice. In: Resti A., Sironi A., and Altman E. (Eds). Recovery Risk: The Next Challenge in Credit Risk Management (2005), Risk Publications, London 323-346
26. Hjort N.L., and Glad I.K. Nonparametric density estimation with a parametric start. The Annals of Statistics 24 (1995) 882-904
27. Hjort N.L., and Jones M.C. Locally parametric nonparametric density estimation. The Annals of Statistics 24 (1996) 1619-1647
28. Hogg R., and Klugman S.A. Loss Distributions (1984), Wiley, New York
29. Jones M.C. Simple boundary correction for kernel density estimation. Statistics and Computing 3 (1993) 135-146
30. Jones M.C., and Foster P. A simple nonnegative boundary correction method for kernel density estimation. Statistica Sinica 6 (1996) 1005-1013
31. Jones M.C., Linton O.B., and Nielsen J.P. A simple but effective bias reduction method for density and regression estimation. Biometrika 82 (1995) 327-338
32. Jones M.C., Marron J.S., and Sheather S.J. A brief survey of bandwidth selection for density estimation. Journal of the American Statistical Association 92 (1996) 1063-1073
33. Klugman S.A., Panjer H.A., and Willmot G.E. Loss Models: From Data to Decisions (1998), Wiley, New York
34. Linton, O.B., Pakes, A., 2001. Nonlinear estimators in econometrics, manuscript, London School of Economics and Political Science.
35. Loader C.R. Local likelihood density estimation. The Annals of Statistics 24 (1996) 1602-1618
36. Müller H. Smooth optimum kernel estimators near endpoints. Biometrika 78 (1991) 520-521
37. Renault O., and Scaillet O. On the way to recovery: a nonparametric bias free estimation of recovery rate densities. Journal of Banking and Finance 28 (2004) 2915-2931
38. Rice J. Boundary modification for kernel regression. Communications in Statistics: Theory and Methods 13 (1984) 893-900
39. Rosenblatt M. Remarks on some nonparametric estimates of a density function. The Annals of Mathematical Statistics 27 (1956) 642-669
40. Scaillet O. Density estimation using inverse and reciprocal inverse Gaussian kernels. Journal of Nonparametric Statistics 16 (2004) 217-226
41. Schuster E. Incorporating support constraints into nonparametric estimators of densities. Communications in Statistics: Theory and Methods (1985) 1123-1136
42. Terrell G.R., and Scott D.W. Variable kernel density estimation. The Annals of Statistics 20 (1992) 1236-1265
43. Tyurin, K., 2003. Competing risks and the order flow dynamics in FOREX electronic brokerage. Discussion Paper, Indiana University.
44. White H. Maximum likelihood estimation of misspecified models. Econometrica 50 (1982) 1-26