scholarly journals The Rate of Asymptotic Normality of Frequency Polygon Density Estimation for Spatial Random Fields

2018 ◽  
Vol 08 (06) ◽  
pp. 962-973
Author(s):  
Shanchao Yang ◽  
Xin Yang ◽  
Guodong Xing ◽  
Yongming Li
Keyword(s):  
Asymptotic Normality ◽  
Density Estimation ◽  
Random Fields ◽  
Frequency Polygon

scholarly journals Asymptotic Normality of a Nonparametric Conditional Quantile Estimator for Random Fields

2011 ◽  
Vol 2011 ◽  
pp. 1-35
Author(s):  
Sidi Ali Ould Abdi ◽  
Sophie Dabo-Niang ◽  
Aliou Diop ◽  
Ahmedoune Ould Abdi
Keyword(s):  
Asymptotic Normality ◽  
Random Fields ◽  
Quantile Function ◽  
Spatial Process ◽  
Kernel Estimate ◽  
Conditional Quantile ◽  
Conditional Quantile Estimator ◽  
Conditional Quantile Function ◽  
Mixing Sequence ◽  
Explicative Variable

Given a stationary multidimensional spatial process , we investigate a kernel estimate of the spatial conditional quantile function of the response variable given the explicative variable . Asymptotic normality of the kernel estimate is obtained when the sample considered is an -mixing sequence.

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