In this paper we develop dual free SDCA with adaptive probabilities for regularized empirical risk minimization. This extends recent work of Shai Shalev-Shwartz [SDCA without Duality, arXiv:1502.06177] to allow non-uniform selection of ”dual” coordinate in SDCA. Moreover, the probability can change over time, making it more efficient than uniform selection. Our work focuses on generating adapti...

This paper aims to provide direct and indirect evidence on setting up rules for applications of the empirical Bayes shrinkage (EBS), and offers cautionary remarks concerning its applicability. In epidemiology, there is still a lack of relevant criteria in the application of EBS. The bias of the shrinkage estimator is investigated in terms of the sums of errors, squared errors and absolute error...

Periodic travelling waves have been reported in a number of recent spatio-temporal field studies of populations undergoing multi-year cycles. Mathematical modelling has a major role to play in understanding these results and informing future empirical studies. We review the relevant field data and summarize the statistical methods used to detect periodic waves. We then discuss the mathematical ...

The empirical saddlepoint distribution provides an approximation to the sampling distributions for the GMM parameter estimates and the statistics that test the overidentifying restrictions. The empirical saddlepoint distribution permits asymmetry, non-normal tails, and multiple modes. If identification assumptions are satisfied, the empirical saddlepoint distribution converges to the familiar a...

The author shows that the empirical loglikelihood ratio is also pivotal for the multivariate normal mean and derives E distributions, a family of distributions equivalent to Hotelling’s T 2 in the context of empirical likelihood. For empirical likelihood ratio confidence regions based on estimating equations, the author discusses bounds on their coverage levels derived from the atoms of the E d...

The accurate estimation of reference evapotranspiration (ETref) is a crucial component for modeling hydrological and ecological cycles. goal this study was the calibration 32 empirical equations used to determine ETref in three classes temperature-based, solar radiation–based, mass transfer–based evapotranspiration. based on measurements taken between years 1990 2019 at 41 synoptic stations loc...

This section includes the results for the thermal conductivity, Debye temperature and the Grüneisen parameter for the set of 74 materials listed in this work as calculated using the Birch-Murnaghan [1–3], Vinet [3, 4], and Baonza-Cáceres-Núñez [3, 5] equations of state. The experimental values for the lattice thermal conductivity κ are compared to the AGL values obtained using the numerical pol...