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    A novel multi-timescale comprehensive drought index for drought monitoring in the Xijiang River Basin by Liping Wang, Shufang Wang, Jing Li, Xingnan Zhang

    Published 2025-10-01
    “…In this study, a novel multi-timescale comprehensive drought index, named the Standardized Precipitation Potential Evapotranspiration Soil Moisture Index (SPPSI), was developed by integrating precipitation, potential evapotranspiration, and soil moisture, three key drought-driving factors. The SPPSI was constructed by fitting optimal marginal distributions for each factor, employing a D-vine copula structure, and selecting an optimal pair-copula function. …”
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    The Fréchet transform by Piotor Mikusiński, Morgan Phillips, Howard Sherwood, Michael D. Taylor

    Published 1993-01-01
    “…Let F1,…,FN be 1-dimensional probability distribution functions and C be an N-copula. Define an N-dimensional probability distribution function G by G(x1,…,xN)=C(F1(x1),…,FN(xN)). …”
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