Analysis of the Korean peninsula precipitation using inverse statistics methodology

Title & Authors
Analysis of the Korean peninsula precipitation using inverse statistics methodology
Min, Seungsik;

Abstract
In this paper, we analyze the inverse statistics of rainfall for 12 regions from 1973 to 2014. We obtain a probability density function f(x) of daily rainfall x, and $\small{f({\tau}_{\rho})}$ of the first passage time $\small{{\tau}_{\rho}}$ for a given $\small{{\rho}}$. Lastly, we derive the relation between $\small{{\rho}}$ and $\small{{\tau}_{mean}({\}$$\small{rho})}$, i.e., the averaged value of $\small{{\tau}_{\rho}}$. The analyses result in the x and $\small{{\tau}_{\rho}}$ have stretched exponential distributions. Also, $\small{{\tau}_{mean}({\rho})}$ has the form of a stretched exponential function. We derive the shape parameter $\small{{\beta}}$ of the distribution, and analyze the characteristics of 12 regional rainfalls.
Keywords
precipitation;rainfall;inverse statistics;probability density function;stretched exponential distribution;
Language
Korean
Cited by
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