Estimation of Probability Distribution Functions for Water Temperature Data in Korean Coasts

摘要

As the temperature data show a distribution pattern with a number of peaks,assumption of normal distribution will result in a serious bias in the analysis.In this study,the Gaussian Mixture Distribution (GMD),a type of bimodal distribution,is presumed as a frequency distribution for the water temperature,in order to estimate the optimal parameter and to carry out the relation analysis between the optimal parameter and the basic statistical information such as mean and variance on the data.By the way,an estimation formulae to compute the frequency distribution of the data is developed by computing the parameters of GMD (i.e.α1,μ1,σ1,α2,μ2,σ2) by means of the major characteristic values,such as mean,standard deviation and skewness of the data.The formulae shows an excellent coincidence with the result from the observation data,in the RMS limit accuracy of 5.