A mean-reverting jump-diffusion stochastic model reproduces superdiffusive rainfall behavior with exponent ~1.8, matches probability distributions and multifractal features, and enables control of distribution types and extreme event occurrences through parameter variation.
For rainfall data, the power spectral density (PSD) can reveal both short-term fluctuations and long-term temporal correlations, including the sig- nature of extreme events
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Controlling the rain fall statistics using Mean-Reverting Jump Diffusion model
A mean-reverting jump-diffusion stochastic model reproduces superdiffusive rainfall behavior with exponent ~1.8, matches probability distributions and multifractal features, and enables control of distribution types and extreme event occurrences through parameter variation.