Let Xk be a sequence of independent and identically distributed random variables taking values in a compact metric space Ω, and consider the problem of estimating the law of X1 in a Bayesian framework. A conjugate family of priors for non-parametric Bayesian inference is the Dirichlet process priors popularized by Ferguson. We prove that if the prior distribution is Dirichlet, then the sequence...

In this paper we consider Metropolis-Hastings Markov chains with absolutely continuous with respect to Lebesgue measure target and proposal distributions. We show that under some very general conditions the sequence of the powers of the conjugate transition operator has a strong limit in a properly defined Hilbert space described for example in Stroock [17]. Then we propose conditions under whi...

Soft micellar nanoparticles can be prepared from DNA conjugates designed to assemble via base pairing such that strands containing a polymer corona and a cholesterol tail generate controlled supramolecular architecture. Functionalization of one DNA conjugate strand with a biorecognition ligand results in shielding of the ligand when in the micelle, while encoding of the DNA sequences with overh...

A practical and efficient route to the CD spiroketal (C-16-C-28) of the spongistatins is reported. Two stereocenters are introduced from chiral building blocks with the remainder introduced by substrate-controlled transformations. The key beta-keto-1,3-dithiane intermediate is generated by a dithiol conjugate addition to an ynone and the 1,3-dithiane unit in the C-ring plays a key role in the s...

This study presents serogroup 6 isolates from invasive pneumococcal disease (IPD) before and after the recommendation for childhood pneumococcal conjugate vaccination in Germany (July 2006). A total of 19,299 (children: 3508, adults: 15,791) isolates were serotyped. Serogroup 6 isolates accounted for 9.5% (children) and 6.7% (adults), respectively. 548 isolates had serotype 6A, 558 had serotype...

In this article, we focus on solving a sequence of linear systems that have identical (or similar) coefficient matrices. For type problem, investigate subspace correction (SC) and deflation methods, which use an auxiliary matrix (subspace) to accelerate the convergence iterative method. practical simulations, these acceleration methods typically work well when range contains eigenspaces corresp...

In this paper, a two parameters family $F_{\beta_1,\beta_2}$ of maps the plane living different subspaces invariant is studied. We observe that, our model exhibits chaotic attractors $A_i$, $i=0,1$, lying in these and identify at which $A_i$ has locally riddled basin attraction or becomes saddle. Then, occurrence global sense investigated an open region $\beta_1\beta_2$-plane. semi-conjugate sy...

In this paper, we consider a family of algorithms, called IDR, based on the induced dimension reduction theorem. IDR is efficient short recurrence methods introduced by Sonneveld and Van Gijzen for solving large systems nonsymmetric linear equations. These generate residual vectors that live in sequence nested subspaces. We present IDR(s) method give two improvements its convergence. also defin...