Divergence estimators based on direct approximation of density ratios without going through separate approximation of numerator and denominator densities have been successfully applied to machine learning tasks that involve distribution comparison such as outlier detection, transfer learning, and two-sample homogeneity test. However, since density-ratio functions often possess high fluctuation,...

This paper employs response surface regressions based on simulation experiments to calculate asymptotic distribution functions for the Johansen-type likelihood ratio tests for cointegration. These are carried out in the context of the models recently proposed by Pesaran, Shin, and Smith (1997) that allow for the possibility of exogenous variables integrated of order one. The paper calculates cr...

In this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. Also, we represent several theorems for constructing each generalized skew t-normal distribution. Next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, Nickel and Vanadium, associated with crude oil in Shadgan wetland in the south-...

Let X denote the number of items declared defective in a sample of size n selected without replacemant from a batch of N items containing B defectives, where testing is fallible. In this note it is shown that the density of X, p(x, B), has a monotone likelihood

Short period double degenerates (DDs) are close white dwarf –white dwarf binary stars which are the result of the evolution of interacting binary stars. We present the first definitive measurements of the mass ratio for two DDs, WD0136+768 and WD1204+450, and an improved measurement of the mass ratio for WD0957−666. We compare the properties of the 6 known DDs with measured mass ratios to the p...

Poisson’s ratio has not received much attention because of its narrow range of measured values and difficulties in measurement. In previous work, genuine non-destructive evaluation method of characterizing weld-zone using Poisson’s ratio distribution was proposed. The method was to use immersion ultrasonic testing for measuring longitudinal and transverse wave speeds simultaneously. In present ...

We derive the probability density of the ratio of components of the bivariate normal distribution with arbitrary parameters. The density is a product of two factors, the first is a Cauchy density, the second a very complicated function. We show that the distribution under study does not possess an expected value or other moments of higher order. Our particular interest is focused on the shape o...