南通大学学报(自然科学版)
南通大學學報(自然科學版)
남통대학학보(자연과학판)
JOURNAL OF NANTONG UNIVERSITY (NATURAL SCIENCE)
2014年
2期
79-84
,共6页
广义Poisson回归%零截尾%局部影响
廣義Poisson迴歸%零截尾%跼部影響
엄의Poisson회귀%령절미%국부영향
generalized Poisson regression%zero-truncated%local influence
使用Poisson分布刻画数据,要求样本数据不为0且其方差和均值相等。然而在很多实际问题中,计数数据很难满足上述要求。针对这一现象,文章研究了零截尾广义Poisson回归模型,基于局部影响分析方法,在3种不同扰动模式下得到影响曲率表达式及强影响点,并通过实例说明了该模型和方法的有效性。
使用Poisson分佈刻畫數據,要求樣本數據不為0且其方差和均值相等。然而在很多實際問題中,計數數據很難滿足上述要求。針對這一現象,文章研究瞭零截尾廣義Poisson迴歸模型,基于跼部影響分析方法,在3種不同擾動模式下得到影響麯率錶達式及彊影響點,併通過實例說明瞭該模型和方法的有效性。
사용Poisson분포각화수거,요구양본수거불위0차기방차화균치상등。연이재흔다실제문제중,계수수거흔난만족상술요구。침대저일현상,문장연구료령절미엄의Poisson회귀모형,기우국부영향분석방법,재3충불동우동모식하득도영향곡솔표체식급강영향점,병통과실례설명료해모형화방법적유효성。
In real application, it is required the equality of the sample mean and variance, which is difficult to be satisified for many real data analysis. Meanwhile, it is often found in some situations that count data not only has no zero but also structurally excludes having 0 counts. In this paper, the zero-truncated generalized Poisson regression was investigated, and the local influence analysis under three different disturbance modes based on curvature mea-surement method was mainly discussed. Finally, the real data analysis was used to illustrate the usefullness pf the proposed model and approach.