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Volumn 98, Issue 461, 2003, Pages 118-134

Reexamination of diffusion estimators with applications to financial model validation

Author keywords

Goodness of fit; Local polynomial regression; Markovian; Stochastic differential equation; Variance estimation

Indexed keywords


EID: 0037361697     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503388619157     Document Type: Article
Times cited : (137)

References (34)
  • 1
    • 0030369366 scopus 로고    scopus 로고
    • Nonparametric pricing of interest rate derivative securities
    • Ät-Sahalia, Y. (1996), "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, 64, 527-560.
    • (1996) Econometrica , vol.64 , pp. 527-560
    • Ät-Sahalia, Y.1
  • 2
    • 0016029778 scopus 로고
    • The relationship between variable and data augmentation and a method of prediction
    • Allen, D. M. (1974), "The Relationship Between Variable and Data Augmentation and a Method of Prediction," Technometrics, 16, 125-127.
    • (1974) Technometrics , vol.16 , pp. 125-127
    • Allen, D.M.1
  • 3
    • 0013141615 scopus 로고
    • Non-parametric drift estimation from ergodic samples
    • Arfi, M. (1995), "Non-Parametric Drift Estimation from Ergodic Samples," Journal of Nonparametric Statistics, 5, 381-389.
    • (1995) Journal of Nonparametric Statistics , vol.5 , pp. 381-389
    • Arfi, M.1
  • 4
    • 0032374679 scopus 로고    scopus 로고
    • Non-parametric variance estimation from ergodic samples
    • _ (1998), "Non-Parametric Variance Estimation from Ergodic Samples," Scandinavia Journal of Statistics, 25, 225-234.
    • (1998) Scandinavia Journal of Statistics , vol.25 , pp. 225-234
  • 5
    • 0000741389 scopus 로고
    • Nonparametric identification for diffusion processes
    • Banon, G. (1978), "Nonparametric Identification for Diffusion Processes," SIAM Journal of Control and Optimization, 16, 380-395.
    • (1978) SIAM Journal of Control and Optimization , vol.16 , pp. 380-395
    • Banon, G.1
  • 7
    • 84977707412 scopus 로고
    • An empirical comparison of alternative models of the short-term interest rate
    • Chan, K. C., Karolyi, A. G., Longstaff, F. A., and Sanders, A. B. (1992), "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, 47, 1209-1227.
    • (1992) Journal of Finance , vol.47 , pp. 1209-1227
    • Chan, K.C.1    Karolyi, A.G.2    Longstaff, F.A.3    Sanders, A.B.4
  • 8
    • 0039372662 scopus 로고    scopus 로고
    • Is the short rate drift actually nonlinear?
    • Chapman, D. A., and Pearson, N. D. (2000), "Is the Short Rate Drift Actually Nonlinear?," Journal of Finance, 55, 355-388.
    • (2000) Journal of Finance , vol.55 , pp. 355-388
    • Chapman, D.A.1    Pearson, N.D.2
  • 9
    • 0001484609 scopus 로고
    • An analysis of variable rate loan contracts
    • Cox, J. C., Ingersoll, J. E., and Ross, S. A. (1980), "An Analysis of Variable Rate Loan Contracts," Journal of Finance, 35, 389-403.
    • (1980) Journal of Finance , vol.35 , pp. 389-403
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 10
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • _ (1985), "A Theory of the Term Structure of Interest Rates," Econometrica, 53, 385-407.
    • (1985) Econometrica , vol.53 , pp. 385-407
  • 11
    • 34250150891 scopus 로고
    • On u Statistics and V.Mises's statistics for weakly dependent processes
    • Denker, M., and Keller, G. (1983), "On U Statistics and V.Mises's Statistics for Weakly Dependent Processes," Z. Wahrscheinlichkeitstheorie verw, Gebiete, 64, 505-522.
    • (1983) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.64 , pp. 505-522
    • Denker, M.1    Keller, G.2
  • 13
    • 0000887734 scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan, J., and Gijbels, I. (1995), "Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation," Journal of the Royal Statistical Society, Ser. B, 57, 371-394.
    • (1995) Journal of the Royal Statistical Society, Ser. B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 15
    • 0000871211 scopus 로고    scopus 로고
    • Efficient estimation of conditional variance functions in stochastic regression
    • Fan, J., and Yao, Q. W. (1998), "Efficient Estimation of Conditional Variance Functions in Stochastic Regression," Biometrika, 85, 645-660.
    • (1998) Biometrika , vol.85 , pp. 645-660
    • Fan, J.1    Yao, Q.W.2
  • 16
    • 0035633948 scopus 로고    scopus 로고
    • Generalized likelihood ratio statistics and wilks phenomenon
    • Fan, J., Zhang, C. M., and Zhang, J. (2001), "Generalized Likelihood Ratio Statistics and Wilks Phenomenon," The Annals of Statistics, 29, 153-193.
    • (2001) The Annals of Statistics , vol.29 , pp. 153-193
    • Fan, J.1    Zhang, C.M.2    Zhang, J.3
  • 17
    • 33746404294 scopus 로고    scopus 로고
    • Estimating stochastic differential equations efficiently by minimum chi-squared
    • Gallant, A. R., and Long, J. R. (1997), "Estimating Stochastic Differential Equations Efficiently by Minimum Chi-Squared," Biometrika, 84, 125-141.
    • (1997) Biometrika , vol.84 , pp. 125-141
    • Gallant, A.R.1    Long, J.R.2
  • 18
    • 0000414660 scopus 로고
    • Large sample properties of generalized method of moments estimators
    • Hansen, L. P. (1982), "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, 50, 1029-1054.
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 19
    • 0031536748 scopus 로고    scopus 로고
    • A nonparametric approach to the estimation of diffusion processes, with an application to a short-term interest rate model
    • Jiang, G. J., and Knight, J. L. (1997), "A Nonparametric Approach to the Estimation of Diffusion Processes, With an Application to a Short-Term Interest Rate Model," Econometric Theory, 13, 615-645.
    • (1997) Econometric Theory , vol.13 , pp. 615-645
    • Jiang, G.J.1    Knight, J.L.2
  • 21
    • 0030371835 scopus 로고    scopus 로고
    • On effects of discretization on estimators of drift parameters for diffusion processes
    • Kloeden, P. E., Platen, E., Schurz, H., and Sørensen, M. (1996), "On Effects of Discretization on Estimators of Drift Parameters for Diffusion Processes," Journal of Applied Probability, 33, 1061-1076.
    • (1996) Journal of Applied Probability , vol.33 , pp. 1061-1076
    • Kloeden, P.E.1    Platen, E.2    Schurz, H.3    Sørensen, M.4
  • 23
    • 0001138028 scopus 로고
    • Brownian motion in the stock market
    • Osborne, M. F. M. (1959), "Brownian Motion in the Stock Market," Operations Research, 7, 145-173.
    • (1959) Operations Research , vol.7 , pp. 145-173
    • Osborne, M.F.M.1
  • 25
    • 84972812660 scopus 로고
    • Estimation of the drift for diffusion process
    • Prakasa Rao, B. L. S. (1985), "Estimation of the Drift for Diffusion Process," Statistics, 16, 263-275.
    • (1985) Statistics , vol.16 , pp. 263-275
    • Prakasa Rao, B.L.S.1
  • 26
    • 0000661887 scopus 로고
    • Density estimates and Markov sequences
    • ed. M. Puri, London: Cambridge University Press
    • Rosenblatt, M. (1970), "Density Estimates and Markov Sequences," in Nonparametric Techniques in Statistical Inferences, ed. M. Puri, London: Cambridge University Press, pp. 199-210.
    • (1970) Nonparametric Techniques in Statistical Inferences , pp. 199-210
    • Rosenblatt, M.1
  • 28
    • 0010027636 scopus 로고    scopus 로고
    • Empirical-bias bandwidths for local polynomial nonparametric regression and density estimation
    • Ruppert, D. (1997), "Empirical-Bias Bandwidths for Local Polynomial Nonparametric Regression and Density Estimation," Journal of the American Statistical Association, 92, 1049-1062.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 1049-1062
    • Ruppert, D.1
  • 30
    • 0011815682 scopus 로고    scopus 로고
    • A nonparametric model of term structure dynamics and the market price of interest rate risk
    • Stanton, R. (1997), "A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk," Journal of Finance, 52, 1973-2002.
    • (1997) Journal of Finance , vol.52 , pp. 1973-2002
    • Stanton, R.1
  • 31
    • 0000629975 scopus 로고
    • Cross-validatory choice and assessment of statistical predictions
    • Stone, M. (1974), "Cross-Validatory Choice and Assessment of Statistical Predictions" (with discussion), Journal of the Royal Statistical Society, Ser. B, 36, 111-147.
    • (1974) Journal of the Royal Statistical Society, Ser. B , vol.36 , pp. 111-147
    • Stone, M.1
  • 32
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • Vasicek, O. A. (1977), "An Equilibrium Characterization of the Term Structure," Journal of Financial Economics, 5, 177-188.
    • (1977) Journal of Financial Economics , vol.5 , pp. 177-188
    • Vasicek, O.A.1
  • 33
    • 0002328596 scopus 로고
    • A survey of some smoothing problems and the method of generalized cross-validation for solving them
    • ed. P. R. Krishnaiah, Amsterdam: North-Holland
    • Wahba, G. (1977), "A Survey of Some Smoothing Problems and the Method of Generalized Cross-validation for Solving them," in Applications of Statistics, ed. P. R. Krishnaiah, Amsterdam: North-Holland, pp. 507-523.
    • (1977) Applications of Statistics , pp. 507-523
    • Wahba, G.1


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