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Goodness of fit test for ergodic diffusion processes

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  • Ilia Negri
  • Yoichi Nishiyama

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  • Ilia Negri & Yoichi Nishiyama, 2009. "Goodness of fit test for ergodic diffusion processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(4), pages 919-928, December.
    • Handle: RePEc:spr:aistmt:v:61:y:2009:i:4:p:919-928
    DOI: 10.1007/s10463-007-0162-0
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    References listed on IDEAS

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    1. Harry van Zanten, 2003. "On Empirical Processes for Ergodic Diffusions and Rates of Convergence of M‐estimators," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(3), pages 443-458, September.
    2. Ilia Negri, 1998. "Stationary Distribution Function Estimation for Ergodic Diffusion Process," Statistical Inference for Stochastic Processes, Springer, vol. 1(1), pages 61-84, January.
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    Cited by:

    1. Ilia Negri & Yoichi Nishiyama, 2012. "Asymptotically distribution free test for parameter change in a diffusion process model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(5), pages 911-918, October.
    2. Wenceslao González-Manteiga & Rosa Crujeiras, 2013. "An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 361-411, September.
    3. Kristensen, Dennis, 2011. "Semi-nonparametric estimation and misspecification testing of diffusion models," Journal of Econometrics, Elsevier, vol. 164(2), pages 382-403, October.
    4. M. Kleptsyna & Yu. Kutoyants, 2014. "On asymptotically distribution free tests with parametric hypothesis for ergodic diffusion processes," Statistical Inference for Stochastic Processes, Springer, vol. 17(3), pages 295-319, October.
    5. Chen, Qiang & Zheng, Xu & Pan, Zhiyuan, 2015. "Asymptotically distribution-free tests for the volatility function of a diffusion," Journal of Econometrics, Elsevier, vol. 184(1), pages 124-144.
    6. Ilia Negri & Yoichi Nishiyama, 2010. "Review on Goodness of Fit Tests for Ergodic Diffusion Processes by Different Sampling Schemes," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 39(1‐2), pages 91-106, February.
    7. Ilia Negri & Yoichi Nishiyama, 2010. "Goodness of fit test for ergodic diffusions by tick time sample scheme," Statistical Inference for Stochastic Processes, Springer, vol. 13(1), pages 81-95, April.
    8. Maroua Ben Abdeddaiem, 2016. "On goodness-of-fit tests for parametric hypotheses in perturbed dynamical systems using a minimum distance estimator," Statistical Inference for Stochastic Processes, Springer, vol. 19(3), pages 259-287, October.
    9. Yury Kutoyants, 2014. "On asymptotic distribution of parameter free tests for ergodic diffusion processes," Statistical Inference for Stochastic Processes, Springer, vol. 17(2), pages 139-161, July.
    10. Monsalve-Cobis, Abelardo & González-Manteiga, Wenceslao & Febrero-Bande, Manuel, 2011. "Goodness-of-fit test for interest rate models: An approach based on empirical processes," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3073-3092, December.
    11. Estate V. Khmaladze, 2021. "How to test that a given process is an Ornstein–Uhlenbeck process," Statistical Inference for Stochastic Processes, Springer, vol. 24(2), pages 405-419, July.
    12. Yury Kutoyants, 2012. "On identification of the threshold diffusion processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(2), pages 383-413, April.
    13. Ilia Negri & Li Zhou, 2014. "On goodness-of-fit testing for ergodic diffusion process with shift parameter," Statistical Inference for Stochastic Processes, Springer, vol. 17(1), pages 51-73, April.
    14. Takayuki Fujii & Yoichi Nishiyama, 2012. "Some problems in nonparametric inference for the stress release process related to the local time," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(5), pages 991-1007, October.

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