It is proved that, for T ε 6 G = G(T ) 6 2 √ T , ∫︁ 2T T (︁ I1(t+G,G)− I1(t, G) )︁2 dt = TG 3 ∑︁ j=0 aj log (︁√ T G )︁ +Oε(T 1+εG1/2 + T 1/2+εG2) with some explicitly computable constants aj (a3 > 0) where, for fixed k ∈ N, Ik(t, G) = 1 √ π ∫︁ ∞ −∞ |ζ( 1 2 + it+ iu)| 2ke−(u/G) 2 du. The generalizations to the mean square of I1(t+U,G)−I1(t, G) over [T, T+H] and the estimation of the mean square ...

An admissible estimator of the eigenvalues of the variance-covariance matrix is given for multivariate normal distributions with respect to the scale-invariant squared error loss. AMS(2000) Subject Classification: Primary 62C15; Secondary 62F10

In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration.

In this paper, a code-division multiple access (CDMA) cellular overlay system is investigated, employing the idea of multicarrier CDMA, which has recently received significant attention as an alternative to traditional single-carrier CDMA [1]. Overlay is pursued here as a means of long-term transition from narrowband cellular to CDMA cellular. A major result of this paper is the demonstration t...

We present statistics (S-statistics) based only on random variable (not random value) with a mean squared error of mean estimation as a concept of error.

We review B and B mean lifetime measurements, including direct measurements and determination of the lifetime ratio via measurements of the ratio of branching ratios. We present world averages.

Econometric analysis typically focuses on the statistical properties of fixed estimators. In practice, however, researchers may have preferences over estimates and engage in specification searches. In this paper, I approach the analysis of experimental data as a mechanism-design problem. Specifically, I focus on covariate adjustments, which can increase precision, but open the door to bias when...

Methods The Research Capacity & Culture (RCC) survey was distributed to all Queensland Health podiatrists in January 2011 (n=58) and January 2012 (n=60). The RCC is a validated tool designed to measure indicators of research skill in health professionals. Participants rate skill levels against each individual, team and organisation statement on a 10-point scale (1=lowest, 10=highest). Chi-squar...