非平稳自回归模型中多元均值的推断

Inference About Multivariate Means for a Nonstationary Autoregressive Model

Journal of the American Statistical Association · 1983
被引 5
ABS 4

中文导读

研究了协方差矩阵服从前依赖模型(一种一般一阶自回归模型)时多元均值的推断问题,提出了两个替代Hotelling T²检验的统计量,并扩展到多元线性模型。

Abstract

Abstract Inference about multivariate means is investigated for the case in which the covariance matrix is assumed to follow an antedependence model, which is a general first-order autoregressive model. We present two test statistics that offer alternatives to Hotelling's T 2 test for testing whether a vector mean is equal to some specified value. These antedependence statistics have simple representations in terms of Hotelling's T 2 statistics computed for certain bivariate and univariate variables. Extensions to the multivariate linear model provide easy-to-compute antedependence analogs to the usual Wilk's lambda, Lawley-Hotelling trace, and Pillai's trace statistics.

计量经济学时间序列分析多元统计自回归模型