We consider inference for high-dimensional separately and jointly exchangeable arrays where the dimensions may be much larger than sample sizes. For both arrays, we first derive central limit theorems over rectangles subsequently develop novel multiplier bootstraps with theoretical guarantees. These results rely on new technical tools such as Hoeffding-type decomposition maximal inequalities de...

The interaction of dibenzo-p-dioxin (DD), from aqueous suspension, with smectite was investigated using in situ vibrational spectroscopy (FTIR and Raman), structural and batch sorption techniques. Batch sorption isotherms were integrated with in situ attenuated total reflectance (ATR)-FTIR and Raman spectroscopy and X-ray diffraction. Sorption isotherms revealed that the affinity of DD for smec...

This paper describes the results of studying phytoremediation potential flowering plants in relation to copper ions laboratory experiment conditions. The test crops were tansy-leaved phacelia, white mustard, small-flowered marigolds and a mixture grasses consisting red fescue, pasture ryegrass meadow bluegrass ratio 40%, 50%, 10% respectively. Under experimental conditions concentrations 2 10 M...

The effects of microtubule inhibitors on cellular accumulation of 4'-demethylepipodophyllotoxin-9-(4,6-O-ethylidine-beta-D-glu copyranoside) (VP-16) and subsequent epipodophyllotoxin-induced DNA single-strand breaks were investigated in human leukemia K562 cells. At concentrations of 0.05-20 microM, vinblastine, vincristine, and maytansine similarly increased the steady-state cell concentration...

We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation invariance and exchangeability and representing convex combinations of tensor power states. On the level of the respective density operators this leads to necessary criteria for all these properties which become n...

We show that a finite Markov exchangeable sequence of random variables with finite state space is a signed mixture of Markov chains. This is shown to partially generalize earlier work by Fortini et al. and Freedman under the added condition of stationarity. Associated statistical issues are discussed and a test of Markov exchangeability is proposed.