The use of kernel estimators to determine the distribution of groundwater level

• Autorzy: Michalski A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

kernel density estimation; determination; distribution; ground water level; density function

• Wydawca: -
• Czasopismo: Meteorology Hydrology and Water Management. Research and Operational Applications
• Rocznik: 2016
• Tom: 04
• Numer: 1
• Opis fizyczny: p.41-46,fig.,ref.

Twórcy

autor

Michalski A.

• Department of Mathematics, Wroclaw University of Environmental and Life Sciences, Grunwaldzka 53, 50-357 Wroclaw, Poland

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