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Analysis of the Korean peninsula precipitation using inverse statistics methodology
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 Title & Authors
Analysis of the Korean peninsula precipitation using inverse statistics methodology
Min, Seungsik;
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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 of the first passage time for a given . Lastly, we derive the relation between and , i.e., the averaged value of . The analyses result in the x and have stretched exponential distributions. Also, has the form of a stretched exponential function. We derive the shape parameter of the distribution, and analyze the characteristics of 12 regional rainfalls.
precipitation;rainfall;inverse statistics;probability density function;stretched exponential distribution;
 Cited by
역통계량을 이용한 강수량자료의 공간예측,최빛나;박만식;

Journal of the Korean Data Analysis Society, 2016. vol.18. 6B, pp.3011-3021
Ding, M. and Rangarajan, G. (2004). New Directions in Statistical Physics, Springer.

Ding, M. and Yang, W. (1995). Distribution of first return time in fractional Brownian motion and its application to the study of on-off intermittency, Physical Review E, 52, 207. crossref(new window)

Honerkamp, J. and Baumgartner, A. (1986). Anomalous diffusion on a fractals: a first passage time problem, Zeitschrift fur Physik B: Condensed Matter, 64, 253-255. crossref(new window)

Jensen, M. H. (1999). Multiscaling and structure functions in turbulence: an alternative approach, Physical Review Letter, 83, 76-79. crossref(new window)

Jensen, M. H., Johansen, A., Petroni, F., and Simonsen, I. (2004). Inverse statistics in the foreign exchange market, Physica A, 340, 678. crossref(new window)

Jensen, M. H., Johansen, A., and Simonsen, I. (2003). Inverse statistics in economics: the gain-loss asymmetry, Physica A, 324, 338. crossref(new window)

Lana, X., Burgueno, A., Martinez, M. D., and Serra, C. (2009). A review of statistical analyses on monthly and daily rainfall in Catalonia, Journal of Weather & Climate of the Western Mediterranean, 6, 15-29.

Lee, C.-Y., Kim, J., and Hwang, I. (2008). Inverse statistics of the Korea composite stock price index, Journal of the Korean Physical Society, 52, 517-523. crossref(new window)

McCauley, J. L. (2004). Dynamics of Markets: Econophysics and Finance, Cambridge University Press.

Rangarajan, G. and Ding, M. (2000a). First passage time distribution for anomalous diffusion, Physics Letters A, 273, 322-330. crossref(new window)

Rangarajan, G. and Ding, M. (2000b). Anomalous diffusion and the first passage time problem, Physical Review E, 62, 120-133. crossref(new window)

Rangarajan, G. and Ding, M. (2003). First passage distributions for long memory processes, LNP, 621, 167-180.

Simonsen, I., Jensen, M. H., and Johansen, A. (2002). Optimal investment horizon, The European Physical Journal B, 27, 583-586. crossref(new window)

Wilson, P. S. and Toumi, R. (2005). A fundamental probability distribution for heavy rainfall, Geophysical Research Letters, 32, 812.