Hsu and Berger (J. Amer. Statist. Assoc. 50 (1999) 468) proposed a stepwise confidence interval procedure for identifying the minimum effective dose in dose-response studies under homoscedasticity. In practice, homogeneity of variance is often in doubt. In this paper, we extend Hsu and Berger's...

Semiparametric methods for longitudinal data with dependence within subjects have recently received considerable attention. Existing approaches that focus on modeling the mean structure require a correct specification of the covariance structure as misspecified covariance structures may lead to...

The impact of time allocation on the economy and society has spatial characteristics, especially spatial allocation of leisure time (SALT). To explain the decision-making mechanism of SALT, we divide time from the perspective of space and construct the individual utility function to transform...