Test for parameter change in discretely observed diffusion processes
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Csörgő M, Horváth L (1997) Limit theorems in change-point analysis. Wiley, New York
Dacunha-Castelle D, Florens-Zmirou D (1986) Estimation of the coefficient of a diffusion from discrete observations. Stochastics 19: 263–284
Genon-Catalot V, Jacod J (1993) On the estimation of the diffusion coefficient for multidimensional diffusion processes. Annales de l’Institut Henri Poincare. B. Probabilites et Statistiques 29: 119–151
Gloter A (2006) Parameter estimation for a discretely observed integrated diffusion process. Scand J Stat 33: 83–104
Florens-Zmirou D (1989) Approximate discrete time schemes for statistics of diffusion processes. Statistics 20: 547–557
Friedman A (1975) Stochastic differential equations and applications. Academic Press, INC, New York
Hall P, Heyde C (1980) Martingale limit theory and its applications. Academic Press, New York
Inclá C, Tiao GC (1994) Use of cumulative sums of squares for retrospective detection of changes of variances. J Am Stat Assoc 89: 913–923
Kessler M (1997) Estimation of an ergodic diffusion from discrete observations. Scand J Stat 24: 211–229
Kessler M (2000) Simple and explicit estimating functions for a discretely observed diffusion process. Scand J Stat 27: 65–82
Kessler M, Sørensen M (1999) Estimating equations based on eigenfunctions for a discretely observed diffusion process. Bernoulli 5: 299–314
Lee S, Ha J, Na O, Na S (2003) The cusum test for parameter change in time series models. Scand J Stat 30: 781–796
Lee S, Nishiyama Y, Yoshida N (2006) Test for parameter change in diffusion processes by cusum statistics based on one-step estimator. Ann Inst Stat Math 58: 211–222
Prakasa Rao BLS (1999) Statistical inference for diffusion type processes. Arnold, London