Probability and Mathematical Statistics, 32, z. 1, 2012, ss.186

On indistinguishability of quantum states

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Quantum measurement, quantum ancillary statistic, informationally complete measurement

Normal maximum likelihood, weighted least squares, and ridge regression estimates

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Bias reduction, normal maximum likelihood, regression, weighted least squares

Asymptotic results for exit probabilities of stochastic processes governed by an integral type rate function

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Large deviations, Freidlin–Wentzell theory, most likely path

Gradient perturbations of the sum of two fractional Laplacians

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Fractional Laplacian, transition density, gradient perturbations

Weak consistency of m47odifi ed versions of Bayesian information criterion in a sparse linear regression

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Sparse linear regression, mBIC, mBIC2, consistency

Continuity of scale parameter estimators with respect to stochastic orders

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Life distributions, partial orders, order statistics, probability metrics, robustness

On the instantaneous frequency of Gaussian stochastic processes

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Continuous-time Gaussian stochastic processes, instantaneous frequency, probability density function, Wigner spectrum

Asymptotic behaviour of linear rank statistics for the two-sample problem

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Two-sample problem, linear rank statistics, Hungarian construction, moderate deviations, local alternatives, asymptotic distribution, asymptotic normality

Comparison theorems for small deviations of weighted series

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Series of weighted i.i.d. positive random variables, small deviations, comparison theorems

Tractability of multi-parametric Euler and Wiener integrated processes

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Tractability, Wiener process, Euler process, integrated processes, linear approximation

Selfsimilar processes with stationary increments in the second Wiener chaos

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Selfsimilar processes, stationary increments, second Wiener chaos, limit theorems, multiple stochastic integrals, weak convergence

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