ORIGINAL PAPER
The use of kernel estimators to determine the distribution of groundwater level
 
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Department of NMathematics, Wroclaw University of Enviromental and Life Sciences
 
 
Publication date: 2016-06-23
 
 
Corresponding author
Andrzej Michalski   

Department of NMathematics, Wroclaw University of Enviromental and Life Sciences, ul. Grunwaldzka 53, 50-357 Wroclaw, 50-357 Wroclaw, Poland
 
 
Meteorology Hydrology and Water Management, 4(1),41-46
 
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ABSTRACT
In this paper the problem of non-parametric estimation of the probability density function for hydrological data is considered. For a given random sample X1, X2, ..., Xn we define an estimator fˆn of the density function ƒ based on a function K of a real variable – the so-called kernel of a distribution – and a properly chosen number sequence {hn} from the interval (0, ∞). This estimator of density function of a random variable X under more general assumptions is known in the statistical literature as the Parzen-Rosenblatt estimator or the kernel estimator. The method of kernel estimation presented in the paper has been applied to determine the probability distribution of the groundwater level based on long-term measurements made in the melioration research carried out at the foothill object Długopole.
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