Estimates for Z2(s) = ∫∞ 1 |ζ(12 + ix)|4x−s dx (Re s > 1) are discussed, both pointwise and in the mean square. It is shown how these estimates can be used to bound E2(T ), the error term in the asymptotic formula for ∫ T 0 |ζ(12 + it)|4 dt.

In this paper, the near-far resistance of the minimum mean square error (MMSE) detector is derived for the multicarrier direct sequence code division multiple access (MC-DS-CDMA) communication systems. It is shown that MC-DS-CDMA has better performance on near-far resistance than that of DS-CDMA.

not close to the true &thetas;, especially at early stages of an adaptive test when the test length (number of items) is too short to provide an accurate estimate for true &thetas;. It is argued here that selection procedures based on global information should be used, at least at early stages of a test when &thetas; estimates are not likely to be close to the true &thetas;. For this purpose, a...

Conventional estimation methods applied to Rician distributed data, (such as magnitude magnetic resonance data) yield biased results. In our work, it is shown where the bias appears. Furthermore, a novel estimation technique, based on Maximum Likelihood estimation, is developed for optimal estimation of signal as well as noise from Rician distributed data. It is shown that the proposed method i...

This paper demonstrates how an instrumental speechquality measure based on the comparison of auditorynerve ring-patterns can be constructed. Four available subjective tests prove that the mean opinion scores (MOS) estimated by the objective measure are in good agreement with the subjectively obtained results.

Consistent reconstruction is a method for producing an estimate x̃ ∈ R of a signal x ∈ R if one is given a collection ofN noisy linear measurements qn = 〈x, φn〉+ǫn, 1 ≤ n ≤ N , that have been corrupted by i.i.d. uniform noise {ǫn}n=1. We prove mean squared error bounds for consistent reconstruction when the measurement vectors {φn}n=1 ⊂ R are drawn independently at random from a suitable distrib...

Pythagorean win share has been one of the fundamental contributions to Sabermetrics. Several hundred articles, both academic and non-academic, have explored variations on Bill James’ original formula and its fit to empirical data. This paper considers a variation that is previously unexplored on any systematic level, consistency. After discussing several important contributions to the line of l...

We present a space-time analysis of CO levels in Madrid (Spain). Several covariances ranging from separable to nonseparable structures are fitted using weighted composite likelihood methods. Prediction and goodness-of-fit are evaluated through RMSE.

In this paper, we introduce the diagonal of the modified Riesz distribution defined in 2 , IR  r r . We propose the estimators of different parameters of this new distribution by two method, firstly by the moment method and secondly by the maximum likelihood method. The performance of the both estimators are studied by calculating the Mean Square Error (MSE). KeywordsDiagonal of the modified R...