Simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions with applications to precipitation
Simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions with applications to precipitation
复制标题
多个零膨胀伽马分布平均差的同时置信区间及其在降水中的应用
DOI：
10.1080/03610918.2021.1966466
复制
发表时间：
2021-08-10
影响因子：
0.9
通讯作者：
Pu, Xiaolong
中科院分区：
文献类型：
--
作者：
Ren, Pengcheng;Liu, Guanfu;Pu, Xiaolong
摘要不同时期或地区降水量的变化是重要的，因为它们对日常生活的许多方面都有重大影响。因此，比较几个时期或几个地区之间的多种降水形式可能有助于决策。降水数据通常被假定为遵循伽马分布。然而，由于一些干燥的日子有零降水，零膨胀伽玛分布更适合拟合数据。在这篇文章中，我们考虑了三种置信方法（一种精确方法和两种近似方法）来构造多个零膨胀伽玛分布的均值差的同时置信区间。我们的模拟研究表明，精确的方法给出了更准确的结果比两个近似的，它是适用于各种情况。然而，这两种近似方法比精确方法快得多。此外，当形状参数较大时，它们也能提供令人满意的结果。用加拿大滑铁卢地区三年逐日降水量的真实的资料来说明这三种方法。
Abstract Changes in precipitation over different periods or regions are important because they have significant effects on many aspects of everyday life. Comparison of multiple forms of precipitation between several periods or regions may therefore be helpful as an aid to decision-making. Precipitation data have generally been assumed to follow a gamma distribution. However, since some dry days have zero precipitation, a zero-inflated gamma distribution is more appropriate for fitting the data. In this article, we consider three fiducial methods (one accurate method and two approximate) to construct simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions. Our simulation studies show that the exact method gives more accurate results than the two approximate ones, and it is applicable to various situations. However, the two approximate methods are much faster than the exact one. Also, they provide satisfactory results when the shape parameters are large. Real data on three-year daily precipitations for Waterloo in Canada are used to illustrate the three methods.