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半参数混样检测回归模型AI 解读

Group testing, through the use of pooling, has proven to be an efficient method of reducing the time and cost associated with screening for a binary characteristic of interest, such as infection status. A topic of key interest in the statistical literature involves the development of regression models that relate individual-level covariates to testing responses observed from pooled specimens. In this article, we propose a general semiparametric framework that allows for the…

链接函数未知的广义变系数模型AI 解读

We propose a new estimation method for generalized varying coefficient models where the link function is specified up to some smoothness conditions. Consistency and asymptotic normality of the estimated varying coefficient functions are established. Simulation results and a real data application demonstrate the usefulness of the new method.

单指标模型与加性指标模型的可识别性AI 解读

We provide a proof for the identifiability for both single-index models and partially linear single-index models assuming only the continuity of the regression function, a condition much weaker than the differentiability conditions assumed in the existing literature. Our discussion is then extended to the identifiability of the additive-index models.

为回归曲线检验获得最优功效的平滑参数选择AI 解读

We consider selection of smoothing parameters to obtain optimal power in tests of regression curves. We examine three tests and propose empirical smoothing parameters to maximize the power in each test. We also show that the data-based smoothing parameters converge to the optimal smoothing parameters as sample sizes get larger. We conduct a simulation study for various classes of alternative showing the effectiveness of the proposed procedures.

利用准残差比较回归曲线AI 解读

We consider testing the equality of two regression functions using two independent samples. Three tests are proposed that are free of the restriction of having the same covariate values or sample sizes for both samples. Asymptotic distributions are given and results from a simulation study are presented that show the superior power properties of these tests over a competing test in a variety of cases, including the testing of hypotheses involving high-frequency curves when…