This book presents the method of crop production statistics at smaller geographical levels like Block or gram panchayat level to make area-specific plans for agricultural development programmes. We proposed a new methodology for estimating crop production at block (micro) level by using multiple regression models at district (macro) level. This book explores small area estimation approach as an alternative for estimation of crop production at block level. This approach uses available district level data from crop cutting experiments and auxiliary information from various administrative...

The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to...

This book deals with Estimation of finite population parameters under super population model when variates are subject to measurement error.Following Royall (1970, 71), and Royall and Herson (1973a, 1973b) approach, estimators of the finite population total under error-in-variables super population model have been developed. This has been extended in stratified sampling under error-in-variable super population model where slopes (regression coefficient) are varying from stratum to stratum and when slope across the strata is same and response variable is subject to measurement error.A limited...