Several problems emerging with the studentization of M-estimators of regression model are briefly discussed and reasons for an enlargement of famous Hampel's program are given. Paper then presents a proposal of a scale-equivariant and regression-invariant scale estimator with an acceptable...

We propose definitions of QAC^0, the quantum analog of the classical class AC^0 of constant-depth circuits with AND and OR gates of arbitrary fan-in, and QACC^0[q], where n-ary Mod-q gates are also allowed. We show that it is possible to make a `cat' state on n qubits in constant depth if and...

In his stimulating Nobel Prize Lecture, Paul Samuelson made the important point that there were interesting macrodynamic systems which could, in no sensible sense, be associated with maximization problems. The paradigmatic example he chose was the multiplier-accelerator system. In this paper I...

The traditional Monte Carlo simulation of order transitions in a ferromagnet (or in a binary crystalline alloy) is carried out by generating a sequence of local swaps (spin reversals or exchanges of atoms) on a finite lattice, each of which in turn is accepted or rejected according to...

In this paper a second degree iterative Monte Carlo method for solving systems of linear algebraic equations and matrix inversion is presented. Comparisons are made with iterative Monte Carlo methods with degree one. It is shown that the mean value of the number of chains N, and the chain length...

An efficient algorithm for the evaluation of the parametric sensitivities for mixed systems of differential and algebraic equations (DAEs) on computers involving multiple processors operating in parallel is presented. The algorithm derives its efficiency by decoupling the integration of the...