In this article, we develop the asymptotic theory of Hwang and Basawa (2005) for explosive random coefficient autoregressive (ERCA) models. Applying the theory, we prove that a locally best invariant (LBI) test in McCabe and Tremayne (1995), which is for the null of a unit root (UR) process...

In this paper, we propose a test for coefficient stability of an AR(1) model against the random coefficient autoregressive model of order 1 neither assuming a stationary nor a non-stationary process under the null hypothesis of a constant coefficient. The proposed test is obtained as a...

In this paper, we show that the sequential logit (SL) model, in which a choice process is characterized as a sequence of independent multinomial logit models, is a limiting case of the nested logit (NL) model. For testing the SL model against the NL model, we propose using the Wald, likelihood...

In this paper, we show that the sequential logit (SL) model, in which a choice process is characterized as a sequence of independent multinomial logit models, is a limiting case of the nested logit (NL) model. For testing the SL model against the NL model, we propose using the Wald, likelihood...

In this study, we considered a matrix operator that stacks up generically distinct elements of a symmetric matrix in a way different from the well-known "vech" operator. We call this operator the "vecp" operator. The vecp operator is similar to the vech operator, but it is more useful in...

The multinomial probit (MP) and ordered probit (OP) models have been widely used in empirical econometric analyses in which a dependent variable falls into several categories. In this paper, we consider another class of probit models, called the correlated sequential probit(CSP) model, and show...

We call the realized variance (RV) calculated with observed prices contaminated by (market) microstructure noises (MNs) the noise-contaminated RV (NCRV), referring to the bias component in the NCRV associated with the MNs as the MN component. This paper develops a state space method for...

It is well-known that there is a large degree of uncertainty around Rogoff’s (1996) consensus half-life of the real exchange rate. To obtain a more efficient estimator, we develop a system method that combines the Taylor rule and a standard exchange rate model to estimate half-lives. Further,...