The authors present a new convolution-type kernel estimator of the marginal density of an MA(1) process with general error distribution. They prove the √ n-consistency of the nonparametric estimator and give asymptotic expressions for the mean square and the integrated mean square error of some unobservable version of the estimator. An extension to MA(q) processes is presented in the case of th...

An analysis of phase variation and phase range of single square ring element for broadband reflectarray antenna is presented in this paper. The analysis and design of reflectarray antenna element is presented based on variable size of the square ring element parameter a t X-band and Ka-band. The design procedure and critical parameters are also discussed. Modifying the current distribution of s...

The likelihood ratio test for m-sample homogeneity of covariance is notoriously sensitive to the violations of Gaussian assumptions. Its asymptotic behavior under non-Gaussian densities has been the subject of an abundant literature. In a recent paper, Yanagihara et al. (2005) show that the asymptotic distribution of the likelihood ratio test statistic, under arbitrary elliptical densities with...

We provide a different view of rejection sampling by putting it in the framework of importance sampling. When rejection sampling with an envelope function g is viewed as a special importance sampling algorithm, we show that it is inferior to the importance sampling algorithm with g as the proposal distribution in terms of the Chi-square distance between the proposal distribution and the target ...

In order to solve reliability evaluation of life of electromagnetic valve of EMUs, this paper evaluates the life of electromagnetic valve under small sample size based on zero-failure data. Firstly, this paper selects the prior distribution of the failure probability, and then the posteriori distribution is obtained by using the Bayes method so that the Bayes estimation can be received under th...

A hybrid slip model combined an Asperity model and k model for predicting near-field strong ground motion is proposed in this paper. Firstly, the asperity model charactering lower wave number of slip distribution is estimated based on works of Wang (2004), Wang and Tao (2004a, b). Secondly, k square slip model charactering higher wave number of slip distribution was determined based on research...

One shortcoming of the Pearson chi-square test is that it only examines the distribution of experiment outcomes, but not their interdependence. For example, the test statistic is invariant against re-ordering the outcomes. To remedy the shortcoming, G. Marsaglia suggested combining consecutive outcomes to form tuples and then examining the distribution of the tuples. The statistic of the test i...

We propose a Bayesian approach to robust adaptive beamforming which entails considering the steering vector of interest as a random variable with some prior distribution. The latter can be tuned in a simple way to reflect how far is the actual steering vector from its presumed value. Two different priors are proposed, namely a Bingham prior distribution and a distribution that directly reveals ...

The inelastic Lorentz gas in cooling states is studied. It is found that the inelastic Lorentz gas is localized and that the mean square displacement of the inelastic Lorentz gas obeys a power of a logarithmic function of time. It is also found that the scaled position distribution of the inelastic Lorentz gas has an exponential tail, while the distribution is close to the Gaussian near the pea...

The inelastic Lorentz gas in cooling states is studied. It is found that the inelastic Lorentz gas is localized and that the mean square displacement of the inelastic Lorentz gas obeys a power of a logarithmic function of time. It is also found that the scaled position distribution of the inelastic Lorentz gas has an exponential tail, while the distribution is close to the Gaussian near the pea...