메뉴 건너뛰기




Volumn 36, Issue 1, 2008, Pages 167-198

A test for model specification of diffusion processes

Author keywords

Bootstrap; Diffusion process; Empirical likelihood; Goodness of fit test; Time series; Transitional density

Indexed keywords


EID: 50649122127     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000659     Document Type: Article
Times cited : (59)

References (47)
  • 1
    • 0242670422 scopus 로고    scopus 로고
    • Testing continuous-time models of the spot interest rate
    • AÏT-SAHALIA, Y. (1996). Testing continuous-time models of the spot interest rate. Rev. Financial Studies 9 385-426.
    • (1996) Rev. Financial Studies , vol.9 , pp. 385-426
    • AÏT-SAHALIA, Y.1
  • 2
    • 0040843309 scopus 로고    scopus 로고
    • Transition densities for interest rate and other nonlinear diffusions
    • AÏT-SAHALIA. Y. (1999). Transition densities for interest rate and other nonlinear diffusions. J. Finance 541361-1395.
    • (1999) J. Finance , vol.54 , pp. 1361-1395
    • AÏT-SAHALIA, Y.1
  • 3
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach
    • MR1926260
    • AÏT-SAHALIA, Y. (2002). Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach. Econometrica 70 223-262. MR1926260
    • (2002) Econometrica , vol.70 , pp. 223-262
    • AÏT-SAHALIA, Y.1
  • 4
    • 18044402907 scopus 로고    scopus 로고
    • Goodness-of-fit tests for regression using kernel methods
    • MR 1873358
    • AÏT-SAHALIA, Y., BICKEL, P. and STOKER, T. (2001). Goodness-of-fit tests for regression using kernel methods. J. Econometrics 105 363-412. MR 1873358
    • (2001) J. Econometrics , vol.105 , pp. 363-412
    • AÏT-SAHALIA, Y.1    BICKEL, P.2    STOKER, T.3
  • 5
    • 50649109558 scopus 로고    scopus 로고
    • AÏT-SAHALIA. Y., FAN, J. and PENG. H. (2006). Nonparametric transition based tests for jump diffusions. Working paper. Available at http://www.princeton.edu/~yacine/ research. htm.
    • AÏT-SAHALIA. Y., FAN, J. and PENG. H. (2006). Nonparametric transition based tests for jump diffusions. Working paper. Available at http://www.princeton.edu/~yacine/ research. htm.
  • 6
    • 50649117048 scopus 로고    scopus 로고
    • AÏT-SAHALIA. Y. and KIMMEL, R. (2005). Estimating affine multifactor term structure models using closed-form likelihood expansions. Working paper. Available at http://www. princeton.edu/~yacine/ research.htm.
    • AÏT-SAHALIA. Y. and KIMMEL, R. (2005). Estimating affine multifactor term structure models using closed-form likelihood expansions. Working paper. Available at http://www. princeton.edu/~yacine/ research.htm.
  • 7
    • 0037273358 scopus 로고    scopus 로고
    • Fully nonparametric estimation of scalar diffusion models
    • MR1956859
    • BANDI. F. and PHILLIPS, P. C. B. (2003). Fully nonparametric estimation of scalar diffusion models. Econometrica 71241-284. MR1956859
    • (2003) Econometrica , vol.71 , pp. 241-284
    • BANDI, F.1    PHILLIPS, P.C.B.2
  • 8
    • 7844232752 scopus 로고    scopus 로고
    • Combined and least squares empirical likelihood
    • MR1671990
    • BROWN, B. and CHEN, S. X. (1998). Combined and least squares empirical likelihood. Ann. Inst. Statist. Math. 50 697-714. MR1671990
    • (1998) Ann. Inst. Statist. Math , vol.50 , pp. 697-714
    • BROWN, B.1    CHEN, S.X.2
  • 9
    • 33144467653 scopus 로고    scopus 로고
    • Nonparametric methods in continuous-time finance: A selective review
    • M. G. Akritas and D. M. Politis. eds
    • CAI, Z. and HONG. Y. (2003). Nonparametric methods in continuous-time finance: A selective review. In Recent Advances and Trends in Nonparametric Statistics (M. G. Akritas and D. M. Politis. eds.) 283-302.
    • (2003) Recent Advances and Trends in Nonparametric Statistics , pp. 283-302
    • CAI, Z.1    HONG, Y.2
  • 10
    • 34848859544 scopus 로고    scopus 로고
    • On the second order properties of empirical likelihood with moment restrictions
    • To appear
    • CHEN, S. X. and CUI, H. J. (2007). On the second order properties of empirical likelihood with moment restrictions. J. Econometrics. To appear.
    • (2007) J. Econometrics
    • CHEN, S.X.1    CUI, H.J.2
  • 11
    • 50649091286 scopus 로고    scopus 로고
    • A test for model specification of diffusion processes
    • Technical report, Dept. Statistics, Iowa State Univ
    • CHEN, S. X., GAO, J. and TANG, C. Y. (2007). A test for model specification of diffusion processes. Technical report, Dept. Statistics, Iowa State Univ.
    • (2007)
    • CHEN, S.X.1    GAO, J.2    TANG, C.Y.3
  • 12
    • 0042171753 scopus 로고    scopus 로고
    • An empirical likelihood goodness-of-fit test for time series
    • MR 1998627
    • CHEN. S. X., HÄRDLE, W. and LI. M. (2003). An empirical likelihood goodness-of-fit test for time series. J. Roy. Statist. Soc. Ser. B 65 663-678. MR 1998627
    • (2003) J. Roy. Statist. Soc. Ser. B , vol.65 , pp. 663-678
    • CHEN, S.X.1    HÄRDLE, W.2    LI, M.3
  • 13
    • 0001205798 scopus 로고
    • A theory of term structure of interest rates
    • MR0785475
    • COX, J. C., INGERSOLL, J. E. and ROSS. S. A. (1985). A theory of term structure of interest rates. Econometrica 53 385-407. MR0785475
    • (1985) Econometrica , vol.53 , pp. 385-407
    • COX, J.C.1    INGERSOLL, J.E.2    ROSS, S.A.3
  • 14
    • 0030549054 scopus 로고    scopus 로고
    • Test of significance based on wavelet thresholding and Neyman's truncation
    • MR 1395735
    • FAN, J. (1996). Test of significance based on wavelet thresholding and Neyman's truncation. J. Amer. Statist. Assoc. 434 674-688. MR 1395735
    • (1996) J. Amer. Statist. Assoc , vol.434 , pp. 674-688
    • FAN, J.1
  • 15
    • 33144462717 scopus 로고    scopus 로고
    • A selective overview of nonparametric methods in financial econometrics
    • MR2210224
    • FAN, J. (2005). A selective overview of nonparametric methods in financial econometrics. Statist. Sci. 20 317-357. MR2210224
    • (2005) Statist. Sci , vol.20 , pp. 317-357
    • FAN, J.1
  • 16
    • 50649095329 scopus 로고    scopus 로고
    • FAN, J. and GIJBELS, I. (1996). Local Polynomial Modeling and Its Applications. Chapman and Hall, London. MR1383587
    • FAN, J. and GIJBELS, I. (1996). Local Polynomial Modeling and Its Applications. Chapman and Hall, London. MR1383587
  • 17
    • 1542678352 scopus 로고    scopus 로고
    • Goodness-of-fit test for parametric regression models
    • MR1946431
    • FAN, J. and HUANG, L. (2001). Goodness-of-fit test for parametric regression models. J. Amer. Statist. Assoc. 96 640-652. MR1946431
    • (2001) J. Amer. Statist. Assoc , vol.96 , pp. 640-652
    • FAN, J.1    HUANG, L.2
  • 18
    • 50649119849 scopus 로고    scopus 로고
    • FAN, J. and YAO, Q. (2003). Nonlinear Time Series: Nonparametric and Parametric Methods. Springer, New York. MR1964455
    • FAN, J. and YAO, Q. (2003). Nonlinear Time Series: Nonparametric and Parametric Methods. Springer, New York. MR1964455
  • 19
    • 0001400429 scopus 로고    scopus 로고
    • Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems
    • MR1399164
    • FAN, J., YAO, Q. and TONG, H. (1996). Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Biometrika 83 189-196. MR1399164
    • (1996) Biometrika , vol.83 , pp. 189-196
    • FAN, J.1    YAO, Q.2    TONG, H.3
  • 20
    • 25844522818 scopus 로고    scopus 로고
    • A data-driven method for estimating conditional densities
    • MR2126035
    • FAN, J. and YIM, T. H. (2004). A data-driven method for estimating conditional densities. Biometrika 91 819-834. MR2126035
    • (2004) Biometrika , vol.91 , pp. 819-834
    • FAN, J.1    YIM, T.H.2
  • 21
    • 0037361697 scopus 로고    scopus 로고
    • A re-examination of Stanton's diffusion estimation with applications to financial model validation
    • MR1965679
    • FAN, J. and ZHANG, C. (2003). A re-examination of Stanton's diffusion estimation with applications to financial model validation. J. Amer. Statist. Assoc. 457 118-134. MR1965679
    • (2003) J. Amer. Statist. Assoc , vol.457 , pp. 118-134
    • FAN, J.1    ZHANG, C.2
  • 22
    • 0035633948 scopus 로고    scopus 로고
    • Generalized likelihood ratio statistics and Wilks phenomenon
    • MR1833962
    • FAN, J., ZHANG, C. and ZHANG, J. (2001). Generalized likelihood ratio statistics and Wilks phenomenon. Ann. Statist. 29 153-193. MR1833962
    • (2001) Ann. Statist , vol.29 , pp. 153-193
    • FAN, J.1    ZHANG, C.2    ZHANG, J.3
  • 23
    • 50649108910 scopus 로고    scopus 로고
    • Sieved empirical likelihood ratio tests for nonparametric functions
    • MR2102496
    • FAN, J. and ZHANG, J. (2004). Sieved empirical likelihood ratio tests for nonparametric functions. Ann. Statist. 29 153-193. MR2102496
    • (2004) Ann. Statist , vol.29 , pp. 153-193
    • FAN, J.1    ZHANG, J.2
  • 24
    • 0030353969 scopus 로고    scopus 로고
    • Consistent model specification tests: Omitted variables and semi-parametric functional forms
    • MR1399221
    • FAN, Y. and Li, Q. (1996). Consistent model specification tests: Omitted variables and semi-parametric functional forms. Econometrica 64 865-890. MR1399221
    • (1996) Econometrica , vol.64 , pp. 865-890
    • FAN, Y.1    Li, Q.2
  • 26
    • 0003215606 scopus 로고    scopus 로고
    • Stochastic volatility models as hidden Markov models and statistical applications
    • MR 1809735
    • GENON-CARALOT, V., JEANTHEAU, T. and LAREDO, C. (2000). Stochastic volatility models as hidden Markov models and statistical applications. Bernoulli 6 1051-1079. MR 1809735
    • (2000) Bernoulli , vol.6 , pp. 1051-1079
    • GENON-CARALOT, V.1    JEANTHEAU, T.2    LAREDO, C.3
  • 27
    • 0038441190 scopus 로고    scopus 로고
    • Testing additivity in generalized nonparametric regression models with estimated parameters
    • MR1862028
    • GOZALO, P. L. and LINTON, Q. (2001). Testing additivity in generalized nonparametric regression models with estimated parameters. J. Econometrics 104 1-48. MR1862028
    • (2001) J. Econometrics , vol.104 , pp. 1-48
    • GOZALO, P.L.1    LINTON, Q.2
  • 28
    • 50649093256 scopus 로고    scopus 로고
    • HÄRDLE, W. and MAMMEN, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Statist. 21 1926-1947. MR1245774
    • HÄRDLE, W. and MAMMEN, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Statist. 21 1926-1947. MR1245774
  • 29
    • 50649118255 scopus 로고    scopus 로고
    • HART, J. (1997). Nonparametric Smoothing and Lack-of-Fit Tests. Springer, New York. MR1461272
    • HART, J. (1997). Nonparametric Smoothing and Lack-of-Fit Tests. Springer, New York. MR1461272
  • 30
    • 0032523348 scopus 로고    scopus 로고
    • Linearity testing using local polynomial approximation
    • MR1629587
    • HJELLVIK, V., YAO, Q. and TJøSTHEIM, D. (1998). Linearity testing using local polynomial approximation. J. Statist. Plann. Inference 68 295-321. MR1629587
    • (1998) J. Statist. Plann. Inference , vol.68 , pp. 295-321
    • HJELLVIK, V.1    YAO, Q.2    TJøSTHEIM, D.3
  • 31
    • 85008790930 scopus 로고    scopus 로고
    • Extending the scope of empirical likelihood
    • Manuscript
    • HJORT, N. L., MCKEAGUE, I. W. and VAN KEILEGOM, I. (2006). Extending the scope of empirical likelihood. Manuscript.
    • (2006)
    • HJORT, N.L.1    MCKEAGUE, I.W.2    VAN KEILEGOM, I.3
  • 32
    • 12344258986 scopus 로고    scopus 로고
    • Nonparametric specification testing for continuous-time models with application to spot interest rates
    • HONG, Y. and LI, H. (2005). Nonparametric specification testing for continuous-time models with application to spot interest rates. Rev. Financial Studies 18 37-84.
    • (2005) Rev. Financial Studies , vol.18 , pp. 37-84
    • HONG, Y.1    LI, H.2
  • 33
    • 0034991055 scopus 로고    scopus 로고
    • An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative
    • MR 1828537
    • HOROWITZ, J. L. and SPOKOINY, V. G. (2001). An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative. Econometrica 69 599-632. MR 1828537
    • (2001) Econometrica , vol.69 , pp. 599-632
    • HOROWITZ, J.L.1    SPOKOINY, V.G.2
  • 34
    • 0036626446 scopus 로고    scopus 로고
    • Nonparametric estimation and symmetry tests for conditional density functions
    • MR 1905751
    • HYNDMAN, R. J. and YAO, Q. (2002). Nonparametric estimation and symmetry tests for conditional density functions. J. Nonparametr. Statist. 14 259-278. MR 1905751
    • (2002) J. Nonparametr. Statist , vol.14 , pp. 259-278
    • HYNDMAN, R.J.1    YAO, Q.2
  • 35
    • 0031536748 scopus 로고    scopus 로고
    • A nonparametric approach to the estimation of diffusion processes with an application to a short-term interest rate model
    • MR1491253
    • JIANG, G. and KNIGHT, J. (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. MR1491253
    • (1997) Econometric Theory , vol.13 , pp. 615-645
    • JIANG, G.1    KNIGHT, J.2
  • 36
    • 0031529223 scopus 로고    scopus 로고
    • Empirical likelihood methods with weakly dependent processes
    • MR 1474084
    • KITAMURA, Y. (1997). Empirical likelihood methods with weakly dependent processes. Ann. Statist. 25 2084-2102. MR 1474084
    • (1997) Ann. Statist , vol.25 , pp. 2084-2102
    • KITAMURA, Y.1
  • 37
    • 0038115268 scopus 로고    scopus 로고
    • Nonparametric likelihood ratio goodness-of-fit tests for survival data
    • MR1994727
    • LI, G. (2003). Nonparametric likelihood ratio goodness-of-fit tests for survival data. J. Multi-variate Analysis 86 166-182. MR1994727
    • (2003) J. Multi-variate Analysis , vol.86 , pp. 166-182
    • LI, G.1
  • 38
    • 0000637496 scopus 로고    scopus 로고
    • Consistent model specification tests for time series econometric models
    • MR 1706996
    • LI. Q. (1999). Consistent model specification tests for time series econometric models. J. Econometrics 92101-147. MR 1706996
    • (1999) J. Econometrics , vol.92 , pp. 101-147
    • LI, Q.1
  • 39
    • 84974325324 scopus 로고
    • Maximum likelihood estimation of generalized Itô processes with discretely sampled data
    • MR0959611
    • LO, A. W. (1988). Maximum likelihood estimation of generalized Itô processes with discretely sampled data. Econometric Theory 4 231-247. MR0959611
    • (1988) Econometric Theory , vol.4 , pp. 231-247
    • LO, A.W.1
  • 40
    • 0033475465 scopus 로고    scopus 로고
    • Multivariate boundary kernels and a continuous least squares principle
    • MR1680306
    • MÜLLER, H. G. and STADTMÜLLER U. (1999). Multivariate boundary kernels and a continuous least squares principle. J. Roy. Statist. Soc. Ser. B 61 439-458. MR1680306
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , pp. 439-458
    • MÜLLER, H.G.1    STADTMÜLLER, U.2
  • 41
    • 0000060427 scopus 로고
    • Empirical likelihood ratio confidence regions for a single functional
    • MR0946049
    • OWEN, A. (1988). Empirical likelihood ratio confidence regions for a single functional. Biometrika 75 237-249. MR0946049
    • (1988) Biometrika , vol.75 , pp. 237-249
    • OWEN, A.1
  • 42
    • 0032357549 scopus 로고    scopus 로고
    • Nonparametric density estimation and tests of continuous time interest rate models
    • PRITSKER. M. (1998). Nonparametric density estimation and tests of continuous time interest rate models. Rev. Financial Studies 11449-487.
    • (1998) Rev. Financial Studies , vol.11 , pp. 449-487
    • PRITSKER, M.1
  • 43
    • 0347609095 scopus 로고
    • Empirical likelihood and general estimating functions
    • MR 1272085
    • QIN. J. and LAWLESS, J. (1994). Empirical likelihood and general estimating functions. Ann. Statist. 22300-325. MR 1272085
    • (1994) Ann. Statist , vol.22 , pp. 300-325
    • QIN, J.1    LAWLESS, J.2
  • 44
    • 0000098278 scopus 로고
    • Hypothesis testing in semiparametric and nonparametric models for econometric time series
    • MR 1023837
    • ROBINSON, P. (1989). Hypothesis testing in semiparametric and nonparametric models for econometric time series. Rev. Economic Studies 56 511-534. MR 1023837
    • (1989) Rev. Economic Studies , vol.56 , pp. 511-534
    • ROBINSON, P.1
  • 45
    • 50649104762 scopus 로고    scopus 로고
    • SCOTT, D. W. (1992). Multivariate Density Estimation. Wiley. New York. MR1191168
    • SCOTT, D. W. (1992). Multivariate Density Estimation. Wiley. New York. MR1191168
  • 46
    • 1442283727 scopus 로고    scopus 로고
    • Testing conditional moment restrictions
    • MR2036400
    • TRIPATHI, G. and KITAMURA, Y. (2003). Testing conditional moment restrictions. Ann. Statist. 31 2059-2095. MR2036400
    • (2003) Ann. Statist , vol.31 , pp. 2059-2095
    • TRIPATHI, G.1    KITAMURA, Y.2
  • 47
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • VASICEK, O. (1977). An equilibrium characterization of the term structure. J. Financial Economics 5 177-188.
    • (1977) J. Financial Economics , vol.5 , pp. 177-188
    • VASICEK, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.