系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
6期
1537~1542
,共null页
肖燕婷 田铮 魏岳嵩
肖燕婷 田錚 魏嶽嵩
초연정 전쟁 위악숭
时空地理加权回归模型 非平稳性检验 三阶矩X^2逼近方法
時空地理加權迴歸模型 非平穩性檢驗 三階矩X^2逼近方法
시공지리가권회귀모형 비평은성검험 삼계구X^2핍근방법
geographically and temporally weighted regression; tests for nonstationarity; third-order moment X^2 approximation method
针对时空地理加权回归模型，通过时空加权距离构造权重矩阵，采用地理加权拟合技术得到回归系数的逐点估计．构造合适的统计量对回归系数进行关于时间和空间的非平稳性检验，利用三阶矩X^2逼近方法计算检验的P值．最后，模拟算例和实际例子都说明该检验方法的有效性．
針對時空地理加權迴歸模型，通過時空加權距離構造權重矩陣，採用地理加權擬閤技術得到迴歸繫數的逐點估計．構造閤適的統計量對迴歸繫數進行關于時間和空間的非平穩性檢驗，利用三階矩X^2逼近方法計算檢驗的P值．最後，模擬算例和實際例子都說明該檢驗方法的有效性．
침대시공지리가권회귀모형，통과시공가권거리구조권중구진，채용지리가권의합기술득도회귀계수적축점고계．구조합괄적통계량대회귀계수진행관우시간화공간적비평은성검험，이용삼계구X^2핍근방법계산검험적P치．최후，모의산례화실제례자도설명해검험방법적유효성．
In geographically and temporally weighted regression model, the estimates of the coefficients are obtained by geographically weighted fitting technique where spatial-temporal weighted distance is used in weighted matrix. Then, appropriate statistics for testing the temporal and spatial nonstationarity of the estimated coefficients are proposed and the p values are calculated with the third-order moment X^2 approximation method. Finally, the simulation example and real example show that the test methods are valid.
