Nested sampling (NS) computes parameter posterior distributions and makes Bayesian model comparison computationally feasible. Its strengths are the unsupervised navigation of complex, potentially multi-modal posteriors until a well-defined termination point. A systematic literature review nested algorithms variants is presented. We focus on complete algorithms, including solutions to likelihood...

Let $$X_N$$ be an N-dimensional subspace of $$L_2$$ functions on a probability space $$(\Omega , \mu )$$ spanned by uniformly bounded Riesz basis $$\Phi _N$$ . Given integer $$1\le v\le N$$ and exponent p\le 2$$ we obtain universal discretization for the integral norms $$L_p(\Omega ,\mu from collection all subspaces v elements with number m required points satisfying $$m\ll v(\log N)^2(\log v)^...

ISO/IEC 17025:2017 and ISO 15189:2012 specify the requirements for competence of laboratories. The former refers to laboratories in general, whose activities include testing, calibration sampling followed by testing or while latter medical Despite differences between two standards reflecting specific needs each them is addressing, development these documents has, until now, similar paths. In th...