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Logspline estimation of a possibly mixed spectral distribution. (English) Zbl 0832.62083
Summary: Cubic splines and indicator functions are used to estimate the spectral density function and line spectrum, respectively, for a stationary time series. A fully automatic procedure involving maximum likelihood, stepwise addition and deletion of basis functions, and the Bayes information criterion (BIC) is used to select the final model.
MSC:
62M15Spectral analysis of processes
62M10Time series, auto-correlation, regression, etc. (statistics)
65C99Probabilistic methods, simulation and stochastic differential equations (numerical analysis)