In this paper, a log type calibration estimator for estimating the population mean in stratified random sampling has been proposed utilizing available auxiliary information. This also extended case of double when information is not known. The simulation study carried out using R software on real as well artificial datasets. empirical bootstrap estimates percentage relative root squared error (%...

Abstract For many decades, Kramer’s sampling theorem has been attracting enormous interest in view of its important applications various branches. In this paper we present a new approach to Kramer-type theory based on spectral differential equations higher order an interval the real line. Its novelty relies partly fact that corresponding eigenfunctions are orthogonal with respect scalar product...