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Measuring stationarity in long-memory processes
spectral density long-memory non-stationary processes goodness-of-ttests empirical spectral measure integrated periodogram locally stationary process bootstrap
2013/4/27
In this paper we consider the problem of measuring stationarity in locally stationary long-memory processes. We introduce an $L_2$-distance between the spectral density of the locally stationary proce...
Monitoring Procedures to Detect Unit Roots and Stationarity
Autoregressive unit root change-point control chart nonparametric smooth-ing sequential analysis weighted partial sum process
2010/3/9
When analysing time series an important issue is to decide whether the time
series is stationary or a random walk. Relaxing these notions, we consider the problem to
decide in favor of the I(0)- or ...
Weighted Dickey-Fuller Processes for Detecting Stationarity
Autoregressive unit root change point control chart nonparametric smooth-ing sequential analysis robustness
2010/3/9
Aiming at monitoring a time series to detect stationarity as soon as possible,
we introduce monitoring procedures based on kernel-weighted sequential Dickey-Fuller
(DF) processes, and related stoppi...
In [12] it was proved that the process of waiting times
for single server queues is asymptotically stationary if
(1) a generic process X = (Xkk, 2 1) is asymptotically stationary,
(2) X satisfies c...