BACKGROUND Five main methods, commonly applied in genomic selection, were used to estimate the GEBV on the 15th QTLMAS workshop dataset: GBLUP, LASSO, Bayes A and two Bayes B type of methods (BBn and BBt). GBLUP is a mixed model approach where GEBV are obtained using a relationship matrix calculated from the SNP genotypes. The remaining methods are regression-based approaches where the SNP effe...

p(ξt|ξt−1, ξt+1, β, ρ, δ, Y ) ∝ exp{−(ξt − μt) /(2σ t ) − dte tt}, where μt = (Ytδ 2 + (ξt−1 + ξt+1)ρ)/(1 + ρ ), σ t = δ /(1 + ρ), if t 6= 1 and t 6= T , and μ1 = Y1δ 2 + ξ2ρ, μT = YT δ 2 + ξT−1ρ, σ 2 1 = σ 2 T = δ . Define lt(ξt) = log p(ξt|ξt−1, ξt+1, β, ρ, δ, Y ). First, use Newton-Raphson to locate the mode x of lt and then calculate l ′′ t (x). Then draw t5 according to a t distribution wi...

We introduce a family of convex (concave) functions called sup (inf) of powers, which are used as generator functions for a special type of quasi-arithmetic means. Using these means we generalize the large deviation result that was obtained in the homogeneous case by Shao [14] on selfnormalized statistics. Furthermore, in the homogenous case, we derive the Bahadur exact slope for tests using se...

The shape of a probability distribution is often summarized by the distribution’s skewness and kurtosis. Starting from a symmetric ”parent” density f on the real line, we can modify its shape (i.e. introduce skewness and in-/decrease kurtosis) if f is appropriately weighted. In particular, every density w on the interval (0, 1) is a specific weighting function. Within this work, we follow up a ...

BACKGROUND Virtual patients are now widely accepted as efficient and safe training tools in medical education, but very little is known about their implementation in psychiatry, especially in transcultural clinical care of traumatized refugee patients. OBJECTIVE This study aimed at assessing the impact of training with a virtual patient on confidence in providing clinical care for traumatized...

We propose a new approach to the problem of the first passage time. Our method is applicable not only to the Wiener process but also to the non–Gaussian Lévy flights or more complicated stochastic processes whose distributions are stable. To show the usefulness of the method, we especially focus on the first passage time problems in the truncated Lévy flights, in which arbitrarily large tail of...

Quantifying dependence between extreme values is a central problem in many theoretical and applied studies. The main distinction is between asymptotically independent and asymptotically dependent extremes, with important theoretical examples of these general limiting classes being the extremal behaviour of a bivariate Normal distribution, for asymptotic independence, and of the bivariate t dist...

Abstract. The standard formulas for sample size and power calculation, as implemented in the command sampsi, make use of a normal approximation to the t-distribution. When the sample sizes are small, this approximation is poor, resulting in overestimating power (or underestimating sample size). One particular situation in which this is likely to be important is the field of cluster randomized t...