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The authors establish the joint distribution of the sum X and the maximum Y of IID exponential random variables. They derive exact formuli describing the random vector (X, Y), including its joint PDF, CDF, and other characteristics; marginal and conditional distributions; moments and related parameters; and stochastic representations leading to further properties of infinite divisibility and self-decomposability. The authors also discuss parameter estimation and include an example from climatology that illustrates the modeling potential of this new bivariate model. 相似文献
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分析了通辽市近45 年降水、潜在蒸散及农田水分盈亏的变化,结果表明:年降水量在周期变化中具有减小的趋势,年降水量的稳定性增加,潜在蒸散波动上升。本世纪60 年代以来,春旱有所缓减,秋旱有所加剧 相似文献
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J. P. Hughes P Guttorp & S. P. Charles 《Journal of the Royal Statistical Society. Series C, Applied statistics》1999,48(1):15-30
A non-homogeneous hidden Markov model is proposed for relating precipitation occurrences at multiple rain-gauge stations to broad scale atmospheric circulation patterns (the so-called 'downscaling problem'). We model a 15-year sequence of winter data from 30 rain stations in south-western Australia. The first 10 years of data are used for model development and the remaining 5 years are used for model evaluation. The fitted model accurately reproduces the observed rainfall statistics in the reserved data despite a shift in atmospheric circulation (and, consequently, rainfall) between the two periods. The fitted model also provides some useful insights into the processes driving rainfall in this region. 相似文献
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