This short note aims to propose a new comparison measure for life tables: the age shift needed restore equality of survival chance as measured by precedence probability. Mortality household income in France and generation Belgium is used an illustration.

This vignette is intended to give a short introduction into the methods of the qualityTools package. The qualityTools package contains methods associated with the Define Measure Analyze Improve and Control (i.e. DMAIC) problem solving cycle of the Six Sigma Quality Management methodology. Usage of these methods is illustrated with the help of artificially created datasets. • Define: Pareto Char...

We investigate Riemann–Liouville processes RH ,H > 0, and fractional Brownian motions BH , 0 < H < 1, and study their small deviation properties in the spaces Lq([0, 1], μ). Of special interest are hereby thin (fractal) measures μ, i.e., those which are singular with respect to the Lebesgue measure. We describe the behavior of small deviation probabilities by numerical quantities of μ, called m...

We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case. The interpretation of fractional analog of phase space as a space with fractal dimension and as a space with fractional measure are discussed. The fractional analogs of the Hamiltonian systems are considered as a special class of no...

In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski’s measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained. keywords: fractional differential equation, neutral differential equation, mild ...