We look into nonparametric regression with repeated measurements collected on a fine grid. An asymptotic normality result is obtained in a function space equipped with the supremum norm. This result can be used to build simultaneous confidence bands (SCB) for various tasks in statistical exploration, estimation and inference. Two applications are proposed: one is a SCB procedure for the regress...

We utilize the important characterization that E(X − t |X > t) is a constant for t ∈ [0,∞) if and only if X is distributed as an exponential random variable, in order to construct a new test procedure for exponentiality. We discuss asymptotic distribution theory and other properties of the proposed procedure. Simulation studies indicate that the proposed statistic has very good power in a large...

We consider the asymptotic variance of the departure counting processD(t) of the GI/G/1 queue;D(t) denotes the number of departures up to time t. We focus on the case that the system load % equals 1, and prove that the asymptotic variance rate satisfies lim t→∞ VarD(t) t = λ ( 1− 2 π )( ca + c 2 s ) , where λ is the arrival rate and ca, cs are squared coefficients of variation of the inter-arri...

Structures and objects are often supposed to have idealized geometries such as straight lines or circles. Although not always visible to the naked eye, in reality, these objects deviate from their idealized models. Our goal is to reveal and visualize such subtle geometric deviations, which can contain useful, surprising information about our world. Our framework, termed Deviation Magnification,...

Abstract. The Organization of Tropical East Pacific Convection (OTREC) field campaign, conducted August through October 2019, focuses on studying convection in the eastern and Caribbean. An unprecedented number dropsondes were deployed (648) during 22 missions to study region strong sea surface temperature (SST) gradients region, just off coast Columbia, uniform SST southwestern assimilated Eur...