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...

This paper develops a framework to test alternative market microstructure models of the bid-ask spread. If, on the one hand, information-based models result in bid and ask quotes that are non-Markovian, and the other hand, the Markov property may hold in equilibrium settings where the market...

Fractionally integrated ARMA (ARFIMA) models are investigated in an Extended version of Nelson and Plosser's (1982) data set.

We show how the use of panel data methods such as those proposed in single equations by Kao and Pedroni or in systems by Larsson and Lyhagen to investigate economic hypotheses such as purchading power pariety or the term structure of interest rates may be affected by the existence of cross-unit...

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,...