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Sequential testing of mean reverting process
Sequential testing of mean reverting process





sequential testing of mean reverting process

Soltane M (2018) Asymptotic efficiency in autoregressive processes driven by stationary Gaussian noise (preprint).

SEQUENTIAL TESTING OF MEAN REVERTING PROCESS SERIES

Robinson P (1995) Log-periodogram regression of time series with long-range dependence. Liptser R, Shiryaev A (2001) Statistics of random processes. Kuelbs J, Philipp W (1980) Almost sure invariance principles for partial sums of mixing B-valued random variables. by the mean-reverting diusion process dX t ( X t ) dt + ( X t ) dB t, X 0 x I, (2.1) where the constant parameters > 0 and I, represent the speed of mean. Istas J, Lang G (1997) Quadratic variations and estimation of the local Hölder index of a Gaussian process. Hosking J (1981) Fractional differencing. Horvàth L (1993) The maximum likelihood method for testing changes in the parameters of normal observations. Gatheral J, Jaisson T, Rosenbaum M (2018) Volatility is rough. Rev Inst Int Stat 28:233–243Įberlein E (1986) On strong invariance principles under dependence assumptions. Springer, New Yorkĭurbin J (1960) The fitting of time series models. The purpose of this paper is to present a practical procedure on the basis of SPRT, which recognizes if the mean of a latent Gaussian process Yt signicantly deviates from presumed value, via an observable signal resulting from Yt. Quality Reliab Eng Int 19:355–369ĭuflo M (1997) Random iterative models. Sequential Probability Ratio Test (SPRT) has been widely used to detect process anomalies. IIE Trans Qua Reliab 30:525–534ĭouglas H, Timmer D, Pignatiello J (2003) Change point estimates for the parameters of an AR(1) process. Ann Stat 23(1):282–304ĭouglas H, Timmer D, Pignatiello J (1998) The development and evaluation of cusum-based control charts for an AR(1) process.

sequential testing of mean reverting process

Econom Theory 17:87–155ĭavis R, Huang D, Yao Y (1995) Testing for a change in the parameter values and order of an autoregressive model. Syst Control Lett 61:1229–1234Ĭhong T (2001) Structural change in AR(1) models. Math Methods Stat 23(2):103–115īrouste A, Kleptsyna M (2012) Kalman type filter under stationary noises. Wiley Series in Probability and Statisticsīrouste A, Cai C, Kleptsyna M (2014) Asymptotic properties of the MLE for the autoregressive process coefficients under stationary Gaussian noises. Chapman & Hall, Londonīillingsley P (1999) Convergence of probability measures, 2nd edn. Chapman & Hall, Londonīeran J (1994) Statistics for long-memory processes. Asmussen S, Albrecher H (2010) Ruin probabilities.







Sequential testing of mean reverting process