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A new estimate of shape parameter in the family of Gamma distribution


In this paper, a new estimator of the shape parameter in the family of Gamma distribution is constructed by using the moment idea, and it is proved that this estimator is strongly consistent and asymptotically normal.


Application of the theory of truncated probability distributions to studying minimal river runoff: Normal and gamma distribution


Content subscribing mechanism in P2P streaming based on gamma distribution prediction


From statistical regress, it was also found that the DSD follows the Gamma distribution best in most cases.

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 The seasonal dryness/wetness in Beijing is identified and compared. The results show that the dry / wet grades derived from the Gamma probability distribution are more effective to be representative of climate states in that area than from other distributions. It is found that the dry climate state in the four seasons during recent 30 years occurred more frequently than ever before, and the occurrence frequency varies slightly with different season. Moreover, the dry climate state in summer occurred more frequently... The seasonal dryness/wetness in Beijing is identified and compared. The results show that the dry / wet grades derived from the Gamma probability distribution are more effective to be representative of climate states in that area than from other distributions. It is found that the dry climate state in the four seasons during recent 30 years occurred more frequently than ever before, and the occurrence frequency varies slightly with different season. Moreover, the dry climate state in summer occurred more frequently than in other seasons. It follows that from the longterm variations, the dryness is prone to changing into the wetness in winter and spring; the wetness is prone to changing into the dryness in summer and autumn.  本文对北京地区各季旱涝状态进行了识别比较。结果表明,用Gamma分布划分旱涝级别更能反映该地区的气候状态。发现近30年来四季出现干旱气候状态较以前增多,但各季变化略有不同.夏季干旱增加表现较为明显。从长期变化来看,冬春季有变涝趋势,夏秋季则有变旱趋势。 对北京旱涝状况成因初步分析表明,它与太平洋地区海温冷暖有关。对它们出现的周期性分析表明,未来10～30年期间,夏季干旱程度可能有所缓解。  In interarrival time analysis for earthquake occurrence, the exponent, Gamma and Weibull distribution are usually used. In this paper, the mathematical relations of these distributions and some features in earthquake sequence are studied. Risk function, which is usually used in engineering seismic hazard analysis and earthquake prediction, and its meaning are analyzed. We also indicate what problems concerning distributions in seismic statistics researchers should pay attention to. At last, the demonstrational... In interarrival time analysis for earthquake occurrence, the exponent, Gamma and Weibull distribution are usually used. In this paper, the mathematical relations of these distributions and some features in earthquake sequence are studied. Risk function, which is usually used in engineering seismic hazard analysis and earthquake prediction, and its meaning are analyzed. We also indicate what problems concerning distributions in seismic statistics researchers should pay attention to. At last, the demonstrational calculation of the North China seismic data shows that the hypothesis of segmented time homogeneity might be better than the hypothsis total time homogeneity in seismic statistics.  从理论上讨论了地震发生时间研究中常见的指数分布、Gamma分布和 Weibull分布模型之间的相互关系及其所反映的地震序列的特征。同时 ,对工程地震和地震预报中常见的危险函数所反映的地震特征作了分析。指出了指数分布、Gamma分布所反映的地震序列的内涵及统计时应注意的问题。利用华北地区历史地震资料 (M>4 .7)进行了分时段齐次统计的示范实例化分析 ,结果表明 :对地震序列分时段齐次化统计能表述地震发生的不均匀现象 ,且处理简便。  
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