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...

Likelihood ratio tests for restrictions on contegrating vectors are asymptotically X2 distributed. For some values of the parameters this asymptotic distribution does not give a good approximation to the finite sample distribution. In this paper we derive the Bartlett correction factor for the...

The main item of agreement between the 'new' and 'old' economic geography is the role of increasing returns in regional economic development. This provides a focal point for the model of this paper, which aims to highlight the existence of a 'third way' somewhere between the analysis provided by...

An I(2) analysis of inflation and the markup is undertaken for the G7 economies and Australia. We find that the levels of prices and costs are best described as I(2) processes and that except for Japan a linear combination of the log levels or prices and costs cointegrate to the markup that is...

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.