We study the effects of time delay on stochastic resonance (SR) in the tumor cell growth model driven by two coupled noises and a weak external periodic signal. Under the condition of small delay time, we obtained the signal-to-noise ratio (SNR) R SNR from the quasi-steady-state probability distribution function through the adiabatic elimination method and the SR theory about a two-state transition. By the numerical computations, we discussed the effects of the delay time τ on the SNR as a function of the multiplicative noise intensity D, the additive noise intensity α and the cross-correlated strength λ respectively. The appearance of a peak in these curves represents the SR phenomenon. It is found that with the increase of τ, the SR is suppressed in the D–R SNR plot and weakened in the α–R SNR plot. However, the SR is strengthened with the increase of τ in the λ–R SNR plot.

We consider density deconvolution with zero-mean Laplace noise in the context of an error component regression model. We adapt the minimax deconvolution methods of Meister ( 2006) to allow estimation of the unknown noise variance. We propose a semi-uniformly consistent estimator for an ordinary-smooth target density and a modified "variance truncation device" for the unknown noise variance. We provide a simulation study and practical guidance for the choice of smoothness parameters of the ordinary-smooth target density. We apply restricted versions of our estimator to a stochastic frontier model of US banks and to a measurement error model of daily saturated fat intake.

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The paper consists of four sections relevant to infonnation technology in China. An overview of the infonnation technology trend and its multi-dimensional impact on the development process of the country has been given in the introduction. Then to cope with the challenges of the technological applications and outcomes, the problem of the shortage of qualified workers has been raised and the prevailing unsatisfactory curricula both for managers and information engineers are outlined and discussed. In the last section, an alternative concept of infonnation is explained.