Variogram and its Estimation on the Sphere

来源 :The Third IMS-China International Conference on Statistics a | 被引量 : 0次 | 上传用户:conansmh
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  HERE-Iin this talk, we first investigate the validity of commonly used variogram functions on the sphere.In lparticular.we show that the spherical and exponential variogram functions, as well as power variogram with 0 < e ≤ 1,are valid on the sphere.However, two radon transforms of the exponential model,Cauchy model, the hole-effect model and power variogram with 1 < α ≤ 2 are not valid on the sphere.Then, a nonparametric method to estimate the variogram on the sphere is proposed.We apply our method to Microwave Sounding Unit (MSU) data.In addition, the range and sill estimation is discussed.
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