α-混合随机域边缘频率插值的渐近方差性

Asymptotic Variance Edge Frequency Polygons Estimator for α-Mixing Random Fields

本文在研究频率插值估计的基础上,对α-混合随机域边缘频率插值估计的性质进行研究。主要通过对空间样本进行有效地划分,在满足一定的条件下,证得方差的渐近性。渐近方差在实际生活中具有广泛的应用,可以在经济金融、环境科学等领域为高维数据初步分析和判断提供重要依据。

For a-mixing random fields, the theoretical performance of frequency polygons estimator is investigated in this paper. Through an effective partition of the sample sapce, the asymptotic variance of the estimator is obtained under some conditions. The results in this paper may be used in the fields of economy and finance, environmental science, high dimentinal data analysis and so on.