We derive both the finite and infinite population spatial replicator dynamics as fluid limit of a stochastic cellular automaton. The is identical to model used by Vickers our derivation justifies addition diffusion replicator. form generalizes results Durett Levin on games. study differences in two equations they pertain one-dimensional rock-paper-scissors game.

In survey sampling, the use of auxiliary information can greatly improve precision estimates population total and/or means. Calibration estimation has developed into an important field research in sampling where plays role. this paper, calibration estimator for cluster with equal clusters have been introduced to variance aid and proposed estimator. Six distances measures, presented approach est...

It is a general practice to use robust estimates improve ratio estimators using functions of the parameters an auxiliary variable. In this study, new class based upon minimum covariance determinant (MCD) and volume ellipsoid (MVE) have been suggested for estimating population variance in presence outlier values data set simple random sampling. The expression mean square error (MSE) proposed der...

We consider a finite population mixed model that accommodates response errors and show how to obtain optimal estimators of the parameters in pretest-posttest context. illustrate method with estimation difference gain between two interventions simulation study compare empirical version proposed estimator (obtained by replacing variance components estimates) obtained via covariance analysis usual...

This paper deals with the assessment of finite population mean. An estimator is suggested for estimation mean study variable. The purpose this to evolve a ratio-type enhance proficiency existing estimators considered in sample random sampling without replacement using information auxiliary Expressions bias and square error (MSE) proposed was derived by Taylor series method. efficiency condition...