Estimation of the mean of multivariate AR processes

作者: M. Arató , G. Pap , K. Varga

DOI: 10.1016/S0898-1221(01)00315-7

关键词: MathematicsMultivariate statisticsComponent (thermodynamics)EstimatorApplied mathematicsAutoregressive modelStatisticsCharacteristic equationMaximum likelihoodWiener process

摘要: In this paper, we show that for autoregressive processes the estimators of mean are consistent if component process is ‘periodical’, and it not case a damping one. one-dimensional AR(1) case, cannot be estimated well. complex AR(1), where behaves periodically, can For an AR(2) process, well roots characteristic equation complex.

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