T his paper investigates the gain of bilateral trade between China and U.S. in manufacturing sectors when both countries play a role in asymmetric (biased) growth of  international trade. Our model includes a special case of Biased Growth Theory in international trade. We collected labor productivity, export and import data by using classification of manufacturing industries, for U.S...

In this paper we deduce a confidence bands construction for the nonparametric estimation of a regression curve from length biased data, where a result from Bickel and Rosenblatt (1973, The Annals of Statistics, 1, 1071-1095) is adapted to this new situation. The construction also involves the estimation of the variance of the local linear estimator of the regression, where we use a finite sampl...

Given a 3-connected biased graph Ω with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of Ω is uniquely represented by Ω.

The length-biased Birnbaum-Saunders distribution is both useful and practical for environmental sciences. In this paper, we initially derive some new properties the distribution, showing that one of its parameters mode it bimodal. We then introduce a regression model based on distribution. implement maximum likelihood method parameter estimation, approach interval estimation consider three type...

Analysis of length-biased time-to-event data, which commonly arise in epidemiological cohort studies and cross-sectional surveys, has attracted considerable attention recently. Ignoring length-biased sampling often leads to severe bias in estimating the survival time in the general population. Existing work either completely ignore the covariate effects or use hazard or accelerated failure time...

Length biased data occurs when a prevalent sampling is used to recruit subjects into a study that investigates the time from an initial event to a terminal event. Such data are usually left-truncated and right-censored. While there have been accurate and efficient methods to estimate the survival function, not much work has been done regarding the estimation of the residual life time distributi...

In a superlattice containing a finite number of periods, the allowed values of the Bloch wave number form a discrete set, and the dynamics of an electron through k-space under the influence of an external force is necessarily that of a superposition wave packet composed of multiple Bloch waves. The present paper investigates this dynamics for a particularly simple class of “kcompact” wave packe...

To study disease association with risk factors in epidemiologic studies, cross-sectional sampling is often more focused and less costly for recruiting study subjects who have already experienced initiating events. For time-to-event outcome, however, such a sampling strategy may be length biased. Coupled with censoring, analysis of length-biased data can be quite challenging, due to induced info...