Fractile Graphical Analysis (FGA) was proposed by Prasanta Chandra Mahalanobis in 1961 as a method for comparing two distributions at two different points (of time or space) controlling for the rank of a covariate through fractile groups. We use bootstrap techniques to formalize the heuristic...

The White information matrix (IM) test is applied to the linear regression model with autoregressive conditional heteroskedastic (ARCH) errors. ARCH models are used widely in analyzing economic and financial time series data. However, in practice, the models are not often thoroughly tested. We...

The objective of this dissertation is to investigate the patronage refunds decision in the Farm Credit System (FCS) lending associations, and simulate the capital structure change of a representative association dynamically. Patronage refunds distribution is a unique feature of financial...

We study the asymptotic covariance function of the sample mean and quantile and derive a new and surprising characterization of the normal distribution: the asymptotic covariance between the sample mean and quantile is constant across all quantiles, if and only if the underlying distribution is...

Spatial modeling is one of the growing areas of research in economics in recent years. However, these models are not tested enough. Even if tests are performed, they are done in a piece-wise fashion. Another age-long problem in economic modeling is endogeneity of one or more variables....

Spatial Durbin model (SDM) is one of the most widely used models in spatial econometrics. It originated as a generalization of the spatial error model (SEM) under a non-linear parametric restriction [see Anselin (1988, pp. 110--111)]. This restriction should be tested to select an appropriate...

It is well known that most of the standard specification tests are not robust when the alternative is misspecified. We consider the three types of typical misspecification encountered in econometric model specification testing, namely, complete misspecification, underspecification, and...

When a nuisance parameter is unidentified under the null hypothesis, standard testing procedures cannot be applied due to the singularity of the information matrix. Probably best known examples are the problems of unknown change points and the mixtures of distributions in econometrics and...

This dissertation concerns theoretical and empirical aspects of a class of conditionally heteroskedastic models. We apply the White's information matrix (IM) test to the linear regression model with autocorrelated errors. A special case of one component of the test is found to be identical to...