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This is typically true of bivariate t distribution.
Using (3.23) and (3.24) we can show that the order statistics of the components of a random vector from a bivariate t distribution obey the skew t law.
As a corollary of Proposition 2, we obtain a characterization of the skew-slash normal and t distributions through the order statistics of the components of a random vector from a bivariate t distribution as stated below.
Let (T 1,T 2)have a bivariate t distribution t 2 r,0,R) with degrees of freedom r, mean zero vector and correlation matrix R=(1,ρ,ρ,1) with −1<ρ<1.
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A pairwise key is established for each pair of sensor nodes in a logical group based on grid-based bivariate t-degree polynomials.
We analysed differences in baseline characteristics between DMP and usual-care patients by bivariate t-tests and χ-tests.
Using a bivariate t-distribution for the random-effects did not improve model fit compared to the normal model.
This calculation used a bivariate t-statistic with a correlation of 0.5 for the test statistics corresponding to the two primary efficacy variables.
Below, examples of multivariate normal distributions with K = 2, 3, 4 and of a bivariate t-distribution are considered to illustrate how θ behaves.
Besides descriptive analysis, bivariate t-test, F-test, and multivariate ordinary least square regression (OLSR) were employed to determine the comparative pattern between the traditional generic and the newly nested fast-track program.
The results of the one-year follow-up of the bivariate t-tests including one explanatory variable at a time with RTW as a dependent variable showed that several work environment risk factors were significantly associated with not being at work after one year.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com