This paper extensively investigates the theory of estimating the regression coefficient matrix for the normal GNANOVA model. We explicitly construct estimators which improve the maximum likehood estimator under an invariant scalar loss function. These include the double shrinkage estimators and...

In this paper, first we make a maximal extension of the well known gauss-Markov Theorem (GMT) in its linear framework. In particular, the maximal class of distributions of error term for which teh GMT holds is derived.Second, we establish a nonlinear version of the maximal GMT and describe some...

Kariya and Tsuda (1994) proposed the TDM (Time Dependent Markov) bond pricing model and showed that it is of great in-sample performance. In less than 0.5 yen in each month over 12 years, implying that the error rate is less than 0.5%. In addition, Kariya and Tsuda (1996) demonstrated the...

In a general normal regression model, this paper first derives the LUB(least upper bound)for the covariance matrix of a GLSE relative to the applied to the (unrestricted) Zellner estimator in the N-equation SUR model and to the GLSE in a heteroscedastic model.

In this paper, an empirical implementation of the HJM model is attempted with an application to Japanese interest futures and the self-consistency is tested. Our empirical results show tha the model we specify can be used to price contigent claims on Bond futures traded at the Tokyo...

This article proves that the stochastic process of returns decribed by S. Taylor's heteroscedastic nonlinear model converges in distribution to an iid normal process (normal white noise) as the number of the terms of temporal aggregetion increases.

In this paper, first the cross-sectional bond pricing model for individual bonds Kariya (1993) proposed by formulating stochastic discount function (term structure) is applied to Japanese T-bond data and it is observed that the model performs very well as it stands. Second, we generalize the...

In the GMANOVA model or equivalentry growth curve model, shrinkage effects on the MLE are considered under an invariant risk matrix. We first study the fundamental structure of the problem through which we decompose the estimation problem into some conditional problems and then demonstrate some...