A brief overview is given of some problems in econometric model building. We discuss, by example, the concept of a time series, a random walk, and integrated variable and the notion of cointegration and common trends.

We derive an approximation to the expectation of the likelihood tatio test for cointegration in the vector autoregressive model. The expression depends on moments of functions of random walk, which are tabulated by simulation, and functions of the parameters, which are estimated. From this...

Asymmetric kernels are quite useful for the estimation of density functions which have bounded support. Gamma kernels are designed to handle density functions whose supports are bounded from one end only, whereas beta kernels are particularly convenient for the estimation of density functions...

This article explains how changing many structural parameters by discrete amounts affect many variables of interest when we have no explicit expressions for the variables of interest in terms of the structural parameters. Although the matrix multiplying a vector of discrete changes in parameters...

This paper analyzes the properties of mutual encompassing and its relationship to the KLIC equivalence between statistical models. It is shown that models are KLIC equivalent if and only if they are mutually encompassing and mutually Cox-encompassing. Further, within the exponentional familly...

The expected value of a lotto ticket depends on the particular numbers selected on the payslip. This is because the individual prizes are not fixed in advance; instead, a prize pool is divided between all the players with winning tickets. This means that if you choose a populare set of numbers,...

The Cox statistic for non nested models is used to test the probit and logit specifications estimated by Bardasi and Monfardini (1997) for the occupational choice of the Italian workers among the private, the public and the self-employed options. Computation of different versions of test is...

A correction factor, depending on sample size and parameters, is found for the likelihood ratio test for some linear hypotheses on the cointegrating space in a vector autoregressive model, where the adjustment coefficients are known. The main idea is to condition on the common trends when making...

The Jordan Form of the VAR's Companion matrix is used for proving the equivalence between the statement that there are no jordan blocks of order two or higher in the Jordan matrix and the conditions of Granger's Representation Theorem for an I(1) series. Furthermore, a Diagonal polynomial matrix...

The vector autoregressive model for seasonal cointegration is analysed. The general error correction model is discussed and conditions are found under which the process is integrated of order 1 at seasonal frequency and exhibits cointegration. Under these conditions a representation theorem for...