Sharp exponential inequalities in survey sampling: conditional Poisson sampling schemes

Actually, we establish below that Chao’s procedure, Till´ e’s elimination procedure and the generalized Midzuno method are not only NA, but also conditionally negatively

Nachr. Mertens, Ueber einige asymptotische Gesetze der Zahlentheorie, J. Montgomery, Fluctuations in the mean of Euler’s phi function, Proc. Titchmarsh, The theory of the

Keywords: Bernstein’s inequality, sharp large deviations, Cram´ er large deviations, expansion of Bahadur-Rao, sums of independent random variables, Bennett’s inequality,

Since the approach described in the previous subsection is slightly technical (we lose the independence of the points due to the symmetrization and then cope with this by establishing

previous results of the authors [BS15] (indeed this application has been the main motivation for this work), and, by previous results [BN07, BDS12], implies a linear exact

Keywords: Survey sampling, Multicollinearity, Ridge regression, Penalized calibration, Model-based estimator, Model-assisted estimator, Horvitz-Thompson estimator, Principal

Since the eighties, the study by statisticians of nonlinear time series has allowed to model a great number ot phenomena in Physics, Economics and Finance2. Then in the nineties

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