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2017•Kirkuk University Journal-Scientific StudiesOpen access

Nonparametric Estimation of The Variogram an Application

Taha Yaseen H, Mohammed N.I.Qassim

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Abstract

This Research Deals with Non Parametric Estimation of Variogram Function . As it is known The Variogram Function is Considered As a very Important Parameter in Investigating The Spatial Dependence for The Spatial Stochastic Process .The Non Parametric Estimation is Performed by Use of Spectral Analysis which is Considered As Advanced Step of Expansion of Fourier Series . Also with This Satisfied Constraint The Equation System of This Problem Obtained and be Solved By Quadratic programming.An application Example is Considered which Represents Real Data of The Property of Positive ions of Sodium Salts in the Ground Water of (88 wells) in Mosul /Iraq .

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What this paper is about

This Research Deals with Non Parametric Estimation of Variogram Function . As it is known The Variogram Function is Considered As a very Important Parameter in Investigating The Spatial Dependence for The Spatial Stochastic Process .The Non Parametric Estimation is Performed by Use of Spectral Analysis which is Considered As Advanced Step of Expansion of Fourier Series . Also with This Satisfied Constraint The Equation System of This Problem Obtained and be Solved By Quadratic programming.An application Example is Considered which Represents Real Data of The Property of Positive ions of Sodium Salts in the Ground Water of (88 wells) in Mosul /Iraq .

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Available abstract

This Research Deals with Non Parametric Estimation of Variogram Function . As it is known The Variogram Function is Considered As a very Important Parameter in Investigating The Spatial Dependence for The Spatial Stochastic Process .The Non Parametric Estimation is Performed by Use of Spectral Analysis which is Considered As Advanced Step of Expansion of Fourier Series . Also with This Satisfied Constraint The Equation System of This Problem Obtained and be Solved By Quadratic programming.An application Example is Considered which Represents Real Data of The Property of Positive ions of Sodium Salts in the Ground Water of (88 wells) in Mosul /Iraq .

Key concepts: Variogram, Nonparametric statistics, Parametric statistics, Constraint (computer-aided design), Estimation, Applied mathematics, Series (stratigraphy), Mathematics

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