Journal of Guangxi Normal University(Natural Science Edition) ›› 2018, Vol. 36 ›› Issue (1): 88-94.doi: 10.16088/j.issn.1001-6600.2018.01.012

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

HE Lin, YANG Shanchao*   

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006,China
  • Received:2017-02-25 Online:2018-01-20 Published:2018-07-17

Abstract: For α-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.

Key words: random fields, edge frequency polygons, asymptotic variance

CLC Number: 

  • O212.1
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