The ratio-type estimators have been introduced for estimating the mean and total population, but in recent years based on the ratio methods several estimators for population variance have been proposed. In this paper two families of estimators have been suggested and their approximation mean square error (MSE) have been developed. In addition, the efficiency of these variance estimators are com...

SUMMARY This article theoretically provides the ensemble average and the ensemble variance of membrane potential of an integrate-and-re neuron, when the neuron receives random spikes from the other neurons. The model assumes that EP-SPs rise and fall continuously. Our theoretical result shows good agreement with a numerical simulation.

We study the pattern statistics representing the number of occurrences of a given string in a word of length n generated at random by rational stochastic models, defined by means of weighted finite automata. We get asymptotic estimations for the mean value and the variance of these statistics under the hypothesis that the matrix of all transition weights is primitive. Our results extend previou...

Variance and the Covariance José M. Merigó,1,2,3,∗ Montserrat Guillén,1 José M. Sarabia4 1Department of Econometrics, Riskcenter–IREA, University of Barcelona, Barcelona 08034, Spain 2Manchester Business School, University of Manchester, Manchester M15 6 PB, United Kingdom 3Department of Management Control and Information Systems, University of Chile, Santiago 8330015, Chile 4Department of Econ...

Estimation of the time-average variance constant (TAVC) of a stationary process plays a fundamental role in statistical inference for the mean of a stochastic process. Wu (2009) proposed an efficient algorithm to recursively compute the TAVC with O(1) memory and computational complexity. In this paper, we propose two new recursive TAVC estimators that can compute TAVC estimate with O(1) computa...