objective: generalized anxiety disorder is one of the most common anxiety disorders in the general ‎population. several studies suggest that anxiety sensitivity is a vulnerability factor in generalized ‎anxiety severity. however, some other studies suggest that negative repetitive thinking and ‎experiential avoidance as response factors can explain this relationship. therefore, this study ‎aime...

MOTIVATION AND RESULTS Durbin et al. (2002), Huber et al. (2002) and Munson (2001) independently introduced a family of transformations (the generalized-log family) which stabilizes the variance of microarray data up to the first order. We introduce a method for estimating the transformation parameter in tandem with a linear model based on the procedure outlined in Box and Cox (1964). We also d...

Motivation and Results Durbin et al (2002), Huber et al (2002) and Munson (2001) independently introduced a family of transformations (the generalized-log family) which stabilizes the variance of microarray data up to the first order. We introduce a method for estimating the transformation parameter in tandem with a linear model based on the procedure outlined in Box and Cox (1964). We also dis...

Assuming the Generalized Riemann Hypothesis (GRH), we show that the norm-Euclidean Galois cubic fields are exactly those with discriminant ∆ = 7, 9, 13, 19, 31, 37, 43, 61, 67, 103, 109, 127, 157 . A large part of the proof is in establishing the following more general result: Let K be a Galois number field of odd prime degree ` and conductor f . Assume the GRH for ζK(s). If 38(`− 1)(log f) log...

A planar spiral called Generalized Log Aesthetic Curve segment (GLAC) has been proposed using the curve synthesis process with two types of formulation; ρ-shift and κ-shift. Both methods were carried out by extending the formulation of Generalized Cornu Spiral (GCS) in a similar manner to the Log Aesthetic Curve (LAC). The family of GLAC comprises of planar curves of high quality such as GCS, L...

Generalized Confidence Intervals (GCI) can be constructed for cases where an exact confidence interval based on sufficient statistics is not available. In this thesis, we first review three existing tests for log-normal data using the GCI approach. Then we propose fiducial generalized pivotal quantities (FGPQ)-based simultaneous confidence intervals for ratios of log-normal means, and prove tha...

Both parametric distribution functions appearing in extreme value theory the generalized extreme value distribution and the generalized Pareto distribution have log-concave densities if the extreme value index γ ∈ [−1, 0]. Replacing the order statistics in tail index estimators by their corresponding quantiles from the distribution function that is based on the estimated log-concave density f̂n ...

MOTIVATION A variance stabilizing transformation for microarray data was recently introduced independently by several research groups. This transformation has sometimes been called the generalized logarithm or glog transformation. In this paper, we derive several alternative approximate variance stabilizing transformations that may be easier to use in some applications. RESULTS We demonstrate...

in this paper we consider selberg-type square matrices integrals with focus on kummer-beta types i & ii integrals. for generality of the results for real normed division algebras, the generalized matrix variate kummer-beta types i & ii are defined under the abstract algebra. then selberg-type integrals are calculated under orthogonal transformations.

We continue the analysis of higher and multiple Mahler measures using log-sine integrals as started in “Log-sine evaluations of Mahler measures” and “Special values of generalized log-sine integrals” by two of the authors. This motivates a detailed study of various multiple polylogarithms and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and...