We give a charactrization of N-extremal measures (=solutions) for the Hamburger moment problem. Corresponding to each N-extremal measure, it is shown that a pair of the real entire functions is uniquely determined except for a constant multiplier. By using properties of zeros of the pair of...

Recently Lin & Wei (2003) developed the score test for heteroscedasticity in nonlinear regression models and investigated the power of this test through Monte Carlo simulations. This paper presents an approach for estimating local power of the score test, based on an asymptotic approximation to...

This brief note supplements the original work (Johnson, 1949) on moments of the 4-parameter lognormal distribution. Explicit expressions for the moments are shown suitable for programming, and an expanded table of calculated values for the mean, standard deviation, and coefficients of skewness...

The class of multivariate elliptical distributions is generalized to allow for asymmetry preserving all the ordinary components, i.e. the generating variate, the location vector, and the dispersion matrix. A positive definite ML-estimator for the dispersion matrix which does not require any...

In this note, the concept of quasi-monotone sequence of positive numbers is introduced. Let {} be a sequence of positive numbers with → 0. If there exists a positive number (0 ≤ 1) such that is a decreasing sequence, then {} is called a quasi-monotone sequence of positive numbers. For the...

Using the theory of exact completions, I construct a certain class of pretoposes, consisting of what one might call “predicative realizability toposes”, that can act as categorical models of certain predicative type theories, including Martin-Löf type theory

Considering the minimization of an estimated second degree response surface model as a problem of stochastic programming, this article establishes the equivalent deterministic programs applying the E-model, V-model, P-model and minimax methods. Similarly, after observing that some of the...

In this article, two methods are proposed to give the interval estimation for two parameters exponential distribution under multiple type-II censoring on complex case. Fei and Kong (1994), Balasubramanian and Balakrishnan (1992) use approximate maximum likelihood estimator to construct interval...