论文标题
在边界回归模型中的线性测试,并应用于最大寿命期望
Testing for linearity in boundary regression models with application to maximal life expectancies
论文作者
论文摘要
我们考虑一个带有A.S.错误的回归模型。消极的。因此,回归函数不是观测值的期望值,而是其支持的正确端点。我们为假设回归函数是仿射函数的假设开发了两种拟合测试,研究了测试统计数据的渐近分布,以大致固定测试的大小,根据模拟得出其有限样本的属性并将其应用于预期寿命数据。
We consider a regression model with errors that are a.s. negative. Thus the regression function is not the expected value of the observations but the right endpoint of their support. We develop two goodness-of-fit tests for the hypotheses that the regression function is an affine function, study the asymptotic distributions of the test statistics in order to approximately fix the sizes of the tests, derive their finite-sample properties based on simulations and apply them to life expectancy data.