Fuzzy regression discontinuity (RD) design and instrumental variable(s) (IV) regression share similar identification strategies and numerically yield the same results under certain conditions. While the weak identification problem is widely recognized in IV regressions, it has drawn much less attention in fuzzy RD designs, where the standard t-test can also suffer from asymptotic size distortio...

In the article an application of the fuzzy testing of hypothesis to the stochastic-signal detection problem is considered when the signal-to-noise ratio approaches zero. We first obtain the general reManuscript received March 13, 1992; revised February 1 1 , 1993. This work was supported by the Science and Engineering Foundation of Korea (KOSEF) under Grant 92 1-0800-002-2. The authors are with...

In applied settings, tests of hypothesis where a nuisance parameter is only identifiable under the alternative often reduces into one Testing One Hypothesis Multiple times (TOHM). Specifically, fine discretization space non-identifiable specified, and null tested against set sub-alternative hypothesis, for each point discretization. The resulting sub-test statistics are then combined to obtain ...