We provide upper bounds for the mean square integral

Let ∆(x) denote the error term in the Dirichlet divisor problem, and E(T ) the error term in the asymptotic formula for the mean square of |ζ( 1 2 + it)|. If E∗(t) = E(t) − 2π∆∗(t/2π) with ∆∗(x) = −∆(x) + 2∆(2x) − 1 2 ∆(4x), then we obtain ∫ T 0 (E(t)) dt ≪ε T . We also show how our method of proof yields the bound R

We give a sufficient condition for the admissibility of generalized Bayes estimators of the location vector of spherically symmetric distribution under squared error loss. Compared to the known results for the multivariate normal case, our sufficient condition is very tight and is close to being necessary. In particular we establish the admissibility of generalized Bayes estimators with respect...

This paper reports the measurement and analysis of wideband radio channel at 1900 MHz within a special propagation environment as the Olympic Stadium of Athens. RMS delay spread values are evaluated as well as the coherence bandwidth of the channel is derived by the frequency correlation function. Mean delay spread was found 0.314 μs and 0.731 μs for LoS and NLoS conditions respectively. The me...

The relative effects of spectral amplitude and phase errors on reconstructed images is studied in terms of the expected mean-square-error in the image. An appropriate mean-square-error appears to be that between reconstructed and original images that are scaled to have the same energy. Such an error metric appears to reflect the overall perceived quality of the images. Approximate relationships...

forecasting of municipal waste generation is a critical challenge for decision making and planning,because proper planning and operation of a solid waste management system is intensively affected by municipal solid waste (msw) streams analysis and accurate predictions of solid waste quantities generated. due to dynamic and complexity of solid waste management system, models by artificial intell...

In this paper, a generalization of the Misspecified Cramér-Rao Bound (MCRB) and of the Constrained MCRB (CMCRB) to complex parameter vectors is presented. Our derivation aims at providing lower bounds on the Mean Square Error (MSE) for both circular and non-circular, MS-unbiased, mismatched estimators. A simple toy example is also presented to clarify the theoretical findings.

Let ∆(x) denote the error term in the Dirichlet divisor problem, and E(T ) the error term in the asymptotic formula for the mean square of |ζ( 1 2 + it)|. If E∗(t) = E(t)− 2π∆∗(t/2π) with ∆∗(x) = −∆(x) + 2∆(2x)− 1 2 ∆(4x), then it is proved that

Let r 3 (n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r 3 (n).

The Burr type III distribution allows for a wider region for the skewness and kurtosis plane, which covers several distributions including the log-logistic, and theWeibull and Burr type XII distributions. However, outliersmay occur in the data set. The robust regressionmethod such as an M-estimator with symmetric influence function has been successfully used to diminish the effect of outliers o...