mean square error

Some efficient exponential estimators in survey sampling: A simulation study

In the framework of sampling theory, a factor-type exponential ratio estimator is proposed for the estimation of the population mean.  The estimator takes into account a spectrum of alpha values (constants) spanning $-1$ to $+1$ when analysing supplementary information for the study variable.  The study demonstrates the effectiveness of the suggested estimators by deriving bias and mean square error equations up to the first degree of large sample approximation.  The analysis shows that the proposed estimators perform better than the existing exponential estimators take

Investigation of the accuracy of plans of Lviv in 1844 and 1932

Purpose of this work is the investigation of the accuracy of plans of Lviv in 1844 and 1931. Methodology. The main criterion for evaluation of the authenticity of ancient maps is the study of their geometric accuracy, which is determined by the magnitudes of errors that arise when measuring lengths, angles, coordinates, and other cartometric attributes.

Determination of allowable values of mean square error when calculating the area of land for different types of settlements

The research have touched upon the analysis of normative-legal acts of Ukraine, which regulate precision of coordinates determination of boundaries angles of land parcels in the different types of settlements. Investigated the influence of these normative errors on the legitimate values of standard mean square error of determination of land parcels areas in settlements