Higher order Turing formulae, denoted as Tr for r ∈ Z+, are a powerful result allowing one to estimate the total probability associated with words from a random piece of writing, which have been observed exactly r times in a random sample. In part...
In the past few decades, pairwise distance based statistical methods have beendeveloped to identify spatial and/or temporal clusters of disease, study the association between the dissimilarity of ecological communities and distance in geographical...
Jensen-Shannon divergence is one reasonable solution to the problem of measuring the level of difference or "distance'" between two probability distributions on a multinomial population. If one of the distributions is assumed to be known a priori,...
Quantile regression (QR) has been widely studied in statistics and econometrics. However, there is no much work on nonlinear QR for vector time series. Therefore, we propose a local spatial QR method to estimate the functional-coefficient matrices...
The case-cohort study design was originally proposed by Prentice (1986). Under this design,a random sub-cohort of individuals is selected from the cohort of study. Full covariate data are collected from all the cases in the cohort and the sub-coho...