A 1 ( ) p -variate integral representation is given for the cumulative distribution function of the general p variate non-central gamma distribution with a non-centrality matrix of any admissible rank. The real part of products of well known analytical functions is integrated over arguments from ( , ).    To facilitate the computation, these formulas are given more detailed for 3. p  Furthe...

Objectives: Our research seeks to examine the correlation between the presence of physical medicine and rehabilitation journals in social networks and the SJR impact factor. Methods: We carried out a correlation study. For the research, we took into account all physical medicine and rehabilitation journals included in the SCImago Journal Rank. The number of followers on Twitter, Facebook, YouT...

The symptoms reported by patients who have experienced minor head or minor neck injury are compared. Symptoms were identified using a questionnaire-based out-patients interview. Rank order correlation analyses were carried out on data obtained at 2 and 6-12 weeks post-injury. Data on 24 head-injured and 29 neck-injured patients are presented. There was a significant rank order correlation at bo...

OBJECTIVE To compare the corneal astigmatism before and after the excision of pterygium and also to determine the correlation of pterygium size with the postoperative corneal astigmatism. STUDY DESIGN Cross-sectional interventional study. PLACE AND DURATION OF STUDY Eye Department, Combined Military Hospital, Abbottabad, from May 2011 to March 2012. METHODOLOGY Thirty patients underwent p...

We present a nonperturbative solution of the rotational diffusion equation for an asymmetric rotor reorienting in a uniaxial liquid crystal, such as a nematic, smectic A or membrane bilayer covering the full range of order parameters from isotropic to complete order for rod-like and plate-like molecules. We obtain explicit expressions for the rotational diffusion matrix elements for a potential...

We propose the ‘Copula PC’ algorithm for causal discovery from a combination of continuous and discrete data, assumed to be drawn from a Gaussian copula model. It is based on a two-step approach. The first step applies Gibbs sampling on rank-based data to obtain samples of correlation matrices. These are then translated into an average correlation matrix and an effective number of data points, ...

When there is a high correlation between the study and the  auxiliary variables, the rank of the auxiliary variable also correlates with the study variable. Then, the use of the rank as an additional auxiliary variable may be helpful to increase the efficiency of the estimator of the mean or total of the population.   In the present study, we propose two  generalized familie...

We examine and rank a set of 264 U.S. universities extracted from the National Collegiate Athletic Association (NCAA) Division I membership and global lists published in U.S. News, Times Higher Education, Academic Ranking of World Universities, and Money Magazine. Our University TwiŠer Engagement (UTE) rank is based on the friend and extended follower network of primary and af€liated secondary ...