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Nonparametric Inference

Change-Point Estimation in Long Memory Nonparametric Models with Applications

Pages 48-61 | Received 30 Jan 2006, Accepted 11 May 2007, Published online: 03 Jan 2008

References

  • Benedetti , J. K. ( 1977 ). On the nonparametric estimation of regression functions . Journal of the Royal Statistical Society Series B 39 : 248 – 253 .
  • Beran , J. ( 1992 ). Statistical methods for data with long-range dependence . Statistical Science 7 : 404 – 427 .
  • Beran , J. ( 1994 ). Statistics for Long-Memory Processes . New York : Chapman and Hall .
  • Beran , J. , Feng , Y. ( 2002 ). SEMIFAR models – a semiparametric approach to modelling trends, long-range dependence and nonstationarity . Computational and Statistical Data Analysis 40 : 393 – 419 .
  • Braun , J. V. , Müller , H. G. ( 1998 ). Statistical methods for DNA sequence segmentation . Statistical Science 13 : 142 – 162 .
  • Brown , R. L. , Durbin , J. , Evans , J. M. ( 1975 ). Techniques for testing the constancy of regression relationships over time (two discussions) . Journal of the Royal Statistical Society Series B 37 : 149 – 192 .
  • Cheng , B. , Robinson , P. M. (1994). Semiparametric estimation from time series with long range dependence. Journal of Econometrics 64:335–353.
  • Csörgő , M. , Révész , P. ( 1986 ). A nearest neighbour-estimator for the score function . Probability Theory and Related Fields 71 : 293 – 305 .
  • Csörgő , S. , Mielniczuk , J. ( 1999 ). Random-design regression under long-range dependent errors . Bernoulli 5 : 209 – 224 .
  • Csörgő , M. , Szyszkowicz , B. , Wang , L. ( 2005 ). Limit theorems for nearest-neighbor density estimation under long-range dependence . Journal of Statistical Research 39 : 121 – 138 .
  • Deo , R. S. , Hurvich , C. M. ( 1998 ). Linear trend with fractionally integrated errors . Journal of Time Series Analysis 19 : 379 – 397 .
  • Doukhan , P. , Oppenheim , G. , Taqqu , M. S. ( 2003 ). Theory and Applications of Long-Range Dependence . Boston : Birkhäuser .
  • Gombay , E. , Horváth , L. ( 1994 ). Limit theorems for change in linear regression . Journal of Multivariate Analysis 48 : 43 – 69 .
  • Hall , P. , Hart , J. D. ( 1990 ). Nonparametric regression with long-range dependence . Stochastic Processes and their Applications 36 : 339 – 351 .
  • Herrmann , E. , Gasser , T. , Kneip , A. ( 1992 ). Choice of bandwidth for kernel regression when residuals are correlated . Biometrika 79 : 783 – 796 .
  • Hidalgo , J. ( 1997 ). Non-parametric estimation with strongly dependent multivariate time series . Journal of Time Series Analysis 18 : 95 – 122 .
  • Horváth , L. , Kokoszka , P. ( 1997 ). The effect of long-range dependence on change-point estimators . Journal of Statistical Planning and Inference 64 : 57 – 81 .
  • Horváth , L. , Kokoszka , P. ( 2002 ). Change-point detection with non-parametric regression . Statistics 36 : 9 – 31 .
  • Hosking , J. R. M. ( 1981 ). Fractional differencing . Biometrika 68 : 165 – 176 .
  • Huh , J. , Park , B. U. ( 2004 ). Detection of a change point with local polynomial fits for the random design case . Australian and New Zealand Journal of Statistics 46 : 425 – 441 .
  • Jarušková , D. ( 1997 ). Some problems with application of change-point detection methods to environmental data . Environmetrics 8 : 469 – 483 .
  • Loader , C. R. ( 1996 ). Change point estimation using nonparametric regression . Annals of Statistics 25 : 1667 – 1678 .
  • Masry , E. , Mielniczuk , J. ( 1999 ). Local linear regression estimation for time series with long-range dependence . Stochastic Processes and their Applications 82 : 173 – 193 .
  • Müller , H. G. ( 1992 ). Change-points in nonparametric regression analysis . Annals of Statistics 20 : 737 – 761 .
  • Nadaraya , E. A. ( 1964 ). Smooth regression analysis . Theory and Probability Applications 9 : 141 – 142 .
  • Priestley , M. B. , Chao , M. T. ( 1972 ). Nonparametric function fitting . Journal of the Royal Statistical Society Series B 34 : 385 – 392 .
  • Qiu , P. ( 1994 ). Estimation of the number of jumps of the jump regression functions . Communications in Statistics: Theory and Methods 23 : 2141 – 2155 .
  • Rahmstorf , S. , Ganopolski , A. ( 1999 ). Long-term global warming scenarios computed with an efficient coupled climate model . Climatic Change 43 : 353 – 367 .
  • Raimondo , M. ( 1998 ). Minimax estimation of sharp change points . Annals of Statistics 26 : 1379 – 1397 .
  • Ray , B. K. , Tsay , R. S. ( 1997 ). Bandwidth selection for kernel regression with long-range dependent errors . Biometrika 84 : 791 – 802 .
  • Robinson , P. M. , Hidalgo , F. J. ( 1997 ). Time series regression with long range dependence . Annals of Statistics 25 : 77 – 104 .
  • Stone , C. J. ( 1977 ). Consistent nonparametric regression . Annals of Statistics 5 : 595 – 645 .
  • Tukey , J. ( 1977 ). Exploratory Data Analysis . Reading , MA : Addison-Wesley .
  • Wang , L. ( 2003 ). Limit theorems in change-point problems with multivariate long-range dependent observations . Statistics and Decisions 21 : 219 – 236 .
  • Wang , L. (2005). Change in non parametric regression with long memory errors. Statistics and Decisions 23:147–159.
  • Wang , L. ( 2007a ). Change-in-mean problem for long memory time series models with applications . Journal of Statistical Computation and Simulation . In press .
  • Wang , L. ( 2007b ). Gradual changes in long memory processes with applications . Statistics 41 : 221 – 240 .
  • Wang , L. , Wang , J. ( 2006 ). Change-of-variance problem for linear processes with long memory . Statistical Papers 47 : 279 – 298 .
  • Watson , G. S. ( 1964 ). On estimating regression . Sankhya Series A 26 : 359 – 372 .
  • Wu , J. S. , Chu , C. K. ( 1993 ). Kernel-type estimators of jump points and values of a regression function . Annals of Statistics 21 : 1545 – 1566 .
  • Yao , Q. , Tong , H. ( 1998 ). Cross-validatory bandwidth selections for regression estimation based on dependent data . Journal of Statistical Planning and Inference 68 : 387 – 415 .

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