Many neurons display intrinsic interspike interval correlations in their spike trains. However, the effects of such correlations on information transmission in neural populations are not well understood. We quantified signal processing using linear response theory supported by numerical simulations in networks composed of two different models: One model generates a renewal process where intersp...

Csiszár and Shields have proved that the minimax redundancy for a class of (stationary) renewal processes is ( ) where is the block length. This interesting result provides a nontrivial bound on redundancy for a nonparametric family of processes. The present paper gives a precise estimate of the redundancy rate for such (nonstationary) renewal sources, namely,

We consider the stochastic recursion Xn+1 = Mn+1Xn +Qn+1 on R , where (Mn, Qn) are i.i.d. random variables such that Qn are translations, Mn are similarities of the Euclidean space R. Under some standard assumptions the sequence Xn converges to a random variable R and the law ν of R is the unique stationary measure of the process. Moreover, the weak limit of properly dilated measure ν exists, d...

When the times between renewals in a renewal process are not exponentially distributed, simulation can become a viable method of analysis. The renewal function is estimated through simulation for a renewal process simulation for a renewal process with gamma distributed renewal times and the shape parameter a > 1. Gamma random deviates will be generated by means of the so called Acceptance Rejec...

deteriorated urban textures are areas of a city isolated from developmental life cycle. they have turned into the focus of problems and inefficiencies. the evaluation of renewal actions claims to promote residents’ satisfaction in some cases. at the same time of improving objective and economic quality of life, there are claims regarding the lack of any improvements in their subjective quality ...

The Arctic Ocean likely impacts global climate through its effect on the rate of deep-water formation and the subsequent influence on global thermohaline circulation. Here, the renewal of the deep waters in the isolated Canadian Basin is quanitified. Using hydraulic theory and hydrographic observations, the authors calculate the magnitude of this renewal where circumstances have thus far preven...

Simulation models of real-life systems often assume stationary (homogeneous) Poisson arrivals. Therefore, when nonstationary arrival processes are required it is natural to assume Poisson arrivals with a time-varying arrival rate. For many systems, however, this provides an inaccurate representation of the arrival process which is either more or less variable than Poisson. In this paper we exte...