What time series are. Properties: autocorrelation or serial correlation; other notions of serial dependence; strong and weak stationarity. The correlation time and the world's simplest ergodic theorem; effective sample size. The meaning of ergodicity: a single increasing long time series becomes representative of the whole process. Conditional probability estimates; Markov models; the meaning of the Markov property. Autoregressive models, especially additive autoregressions; conditional variance estimates. Bootstrapping time series. Trends and de-trending.
Posted at April 30, 2013 10:30 | permanent link