Hayakawa (1990) has very recently studied the behavior of the power for several large sample tests for the mean direction vector of the Langevin distribution. These tests are not known to possess any non-trivial optimal property. Here we derive some multiparameter locally optimal tests, e.g.,...

B. Mandelbrot and E. Fama in the sixties, and W. Ziemba in the seventies, suggested stable laws for modeling stock returns and commodity prices. Geometric stable distributions, with Laplace distribution playing the role of a "normal" law, have been found to give better fit to such data. We study...

Several researchers have decomposed sales promotion elasticities based on household scanner panel data.A key result is that the majority of the sales promotion elasticity, about 74 percent on average, is attributed to secondary demand effects (brand switching) and the remainder to primary demand...

ISOLA software has been used to determine moment tensor solutions by using the single-station three-component seismogram data. This will be useful and worthwhile for analysis of the earthquakes occurred in Himalayan region, where well azimuthal coverage data are not available. Two earthquakes...

In this paper, a new pair of second-order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K-η-bonvexity assumptions. We identify a function lying exclusively in the class of K-η-bonvex and not in class of...