2016
DOI: 10.26491/mhwm/62708
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The use of kernel estimators to determine the distribution of groundwater level

Abstract: 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 X 1 , X 2 , ..., X n 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 {h n } from the interval (0, ∞). this estimator of density function of a random variable X under more general assumptions is known in the statistical literat… Show more

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Cited by 6 publications
(5 citation statements)
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“…There are other versions of the cross-validation method, e.g. biased cross-validation (BCV) or smoothed cross-validation (SCV), and other methods to obtain optimum smoothing coefficient (e.g., [40]). Some resulting examples are shown in Fig.…”
Section: Least Squares Cross Validation Methods (Lscv)mentioning
confidence: 99%
“…There are other versions of the cross-validation method, e.g. biased cross-validation (BCV) or smoothed cross-validation (SCV), and other methods to obtain optimum smoothing coefficient (e.g., [40]). Some resulting examples are shown in Fig.…”
Section: Least Squares Cross Validation Methods (Lscv)mentioning
confidence: 99%
“…The described procedure is presented in Figure 1 and has been used many times to simulate the maximum flows [1,2,3,4]. Finally, the probability distributions of the minimum flows were adjusted and analyzed based on literature analysis [1][2][19][20][21][22][23][24][25].…”
Section: River Flow Simulation Proceduresmentioning
confidence: 99%
“…For example, floods in Poland, which are accompanied by high flows, appeared mainly in the summer. However, in the last 20 years, as a results of changes in the course of winters, mainly higher temperatures, meltwater thaw floods began to appear more frequently and on a much larger scale [15,19,23]. In the studies, flows were simulated for the year 2060 according to the three most likely scenarios GISS Model E, HadCM3, and GFDL R15 which are considered to comply with the new scenarios of Representative Concentration Routes (RCPs) 4.5 and 6.0.…”
Section: Introductionmentioning
confidence: 99%