Estimation of population mean for logarithmic observation under Poisson distributed study and auxiliary variates

Abstract

Use of auxiliary information is always suggested at the planning and estimation stage to make the estimators perform more eggiciently.Estimation using auxiliary information is common in sampling literature but using distribution of study and auxiliary information at the estimation stage is uncommon and found useful especially when dealing with rare variable. This study utilizes the auxiliary information and Poisson distributed variates for proposing the log-type estimator and another generalized estimator for fnite population mean under simple random sampling without replacement. The Mean Square Error expressions of the proposed estimators are obtained.It is revealed from empirical (point estimation and interval estimation) & theoretical study that use of log type estimators along with suitable auxiliary information for Poisson distributed variates excels the performance of estimators in terms of effciency. © Universitá del Salento