In the Present book Chapter -I contains the general introduction about the model selection. Chapter-II speaks about the various inferential problems of linear statistical models. The distributional properties of the OLS estimators have been presented in this chapter. It also contains the procedure of testing the general linear hypothesis .Chapter-III deals with the existing criteria for model selection given in the literature. Chapter-IV proposes some new techniques for selection of linear statistical models pertaining both the nested and non-nested linear regression models. Chapter-V...

The study estimates efficiency magnitudes by applying LPP technic and compare them with their Stochastic Counterparts. The proposed study combines timeseries, cross section observations on Inputs, Input prices, outputs, derives factor minimal cost functions and formulates the Likelihood functions and maximise them to find MLEs of known parameters. This kind of research study can be further extended to any other functional forms like CES and TRANSLOG production functions etc., with comfortable ease.

Measurement of technical progress dates back to Solow (1957) who expressed technical change as residual, obtained by subtracting weighed input growth from output growth. There were studies of measuring technical change based on factor minimal cost function, assuming technical change is Hicks neutral, producer was at equilibrium. There existed studies which assumed technical change was non-neutral. The present study assumed technical change is Hicks neutral. To measure technical change input-output quantities alone can be used; or input-output quantities and their prices can be utilized; or...

The concept of cost efficiency was introduced by Farrell (1957) as the ratio of factor minimal cost to the actual cost. Unlike technical efficiency, the cost efficiency measure takes into consideration changes in input mix also. The Farrell cost efficiency measure was extended by Fare et.al (1984) for the case of multiple inputs and outputs. Solving one linear programming problem for one production unit, the factor minimal cost can be calculated which is called in this study as 'Farrell Cost Efficiency'. This is a very restrictive measure since it requires the knowledge of input prices and...

In the Present Book Chapter-I is an introductory one. It contains the general introduction about the problem of nonnormal disturbances in linear statistical models, Chapter-II deals with the consequences of nonnormal disturbances in linear statistical models under finite and infinite variances of disturbances and It explains a few Robust estimators.Chapter-III describes the review about the various existing tests for normality of observations. It deals with Shapiro-Wilk 'W' test for normality and it's extensions along with the comparative study of various statistical procedures for evaluating...

In the Present Book Chapter - I is an introductory one. It contains the general introduction about the problem of testing linear restrictions on the parameters of the linear regression models, Chapter - II describes the concept and the estimation of parameters of linear model subject to the linear restrictions. Chapter - III deals with the review about the various tests for linear restrictions in the linear statistical models including Wald, Likelihood Ratio and Lagrange Multiplier tests. Chapter - IV gives the details about the various problems of testing equality between sets of regression...

In the Present book Chapter I is an introductory one. It contains the general introduction about the problem of heteroscedasticity. Chapter II describes some aspects of linear models with their inferential problems. It deals with some basic statistical results about Gauss-Markov linear model besides the restricted least squares estimation and its application to the tests of general linear hypotheses. Chapter III presents a brief review on the existing estimation methods for linear models under the various specifications of heteroscedastic variances. Chapter IV deals with the analysis and...

In the Present Book Chapter-I is an introductory one. Chapter - II deals the various types of residuals discussed in the literature for the linear regression analysis. Different types of residuals such as OLS, BLUS, Recursive, Internally and Externally studentized, predicted, and weighted residuals have been explained with their properties. Chapter - III presents some new applications of residuals in linear regression models under the problem of heteroscedasticity.Chapter - IV proposes some criteria for testing the equality between sets of regression coefficients in two linear models under...

In the present book Chapter - I is an introductory one. It contains the general introduction about the problem of distributed lag models. Chapter - II deals with the specification of the distributed lag models through expectations models.Chapter - III describes the estimation methods for different finite distributed lag models existing in the literature.Chapter - IV gives the details about the various infinite distributed lag models existing in the literature along with the estimation of their parameters.Chapter - V develops a new estimation procedure for a finite distributed lag model by...

Technical change and its measurement is a fascinating subject. The various procedures to measure technical change fall into two categories (i).The parametric approach and (ii). The non-parametric approach. In theformer case, a parametric production function is postulated a priori, using it as basic tool, technical change is estimated. The present book aims at presenting a method to measure technicalprogress relaxing the assumptions of full profit efficiency and constant returns to scale. The method is essentially non-parametric, in which wesolve a number of linear programming problems, first...