An important problem in logistic regression modeling is the existence of the maximum likelihood estimators. In particular, when the sample size is small, the maximum likelihood estimator of the regression parameters does ...

A collocation strategy for the satisfaction of boundary conditions in the application of Chebyshev spectral methods to Poisson and biharmonic-type problems in cuboidal domains is presented. This strategy leads, in both ...

This introductory article overviews the progress of electrical, electronics, software, and other relevant technologies that shape the modern automobile. Some of these technologies are described in more detail in the articles ...

A random variable Z will be called self-inverse if it has the same distribution as its reciprocal Z -1. It is shown that if Z is defined as a ratio, X / Y, of two rv's X and Y (with P[X=0]=P[Y=0]=0), then Z is self-inverse ...

In this work we focus on multi state systems that we model by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to a general ...

An adaptive supervisory switching control scheme for nonlinear uncertain systems is developed. Such a scheme comprises: A family of nonlinear candidate controllers, designed using a convex control design methodology

There are many situations in which a researcher would like to analyse data from a two-way layout. Often, the assumptions of linearity and normality may not hold. To address such situations, we introduce a semiparametric ...

We present several series and product representations for γ, π, and other mathematical constants. One of our results states that, for all real numbers μ s>0, we have γ = ∑k=0∞ 1/(1 + μ)k+1∑m=0k,(m k)} (-1) mμk-m S(m), where ...

We present series representations for some mathematical constants, like γ, π, log 2, ζ(3). In particular, we prove that the following representation for Euler's constant is valid: Equation presented. © 2008 Springer ...