- Indices of variability and shape derived form quantiles and
letter values.
- Distributions having different density functions, depending on
the point side with respect to a hinge point.
- Risk indices defined by applying a fuzzy procedure to data
classified by multiple cathegories of exposure and affection.
- Probabilistic methods applied to hazard games.
- Statistical methods for testing the efficacy of some
alternative therapies, especially high dilutions and
electro-magnetism.
Subject: Indices of variability and shape derived
form quantiles and letter values
A recent approach to variability and shape evaluation is to
consider the values taken by a set of quantiles, which shall be
symmetric with respect to the median under a perfectly symmetric
distribution. Assessing the deviation from symmetry of such
quantiles, we can define a new class of indices of skewness.
Moreover, if we consider the distance between quantiles, and
compare them with corresponding distances under a Gaussian model,
we can also define new indices of kurtosis.
Subject: Distributions having different density
functions, depending on the point side with respect to a hinge
point
There are phenomena which have a different trend, depending
on the fact that a threshold point has been overtaken or not. For
representing such phenomena we need to deal with distribution
models having different density function, respectively on the left
and on the right of a hinge point. Among these
models, Two-faced distribution (Brizzi, 2006) and MTSP
(Modified Two Sided Power) distribution have been recently proposed
and developed. Several other models are suitable in this context,
all worth of a specifical study.
M. Brizzi (2006) A skewed model combining triangular and
exponential features: the two-faced distribution and its
statistical properties.
AUSTRIAN JOURNAL OF STATISTICS vol.35 pp.455 - 462.
M.Brizzi (2007) Some considerations and developments about
recently proposed families of distributions with hinge
points.
STATISTICA vol.LXVII (67) pp.79 - 98.
Subject: Risk indices defined by applying a fuzzy
procedure to data classified by multiple cathegories of exposure
and affection
Indices of risk are usually referred to 2x2 exposure/affection
tables, where only two levels of exposure and affection are
considered (example: smoker/non smoker, Lung disease/no lung
disease). Using a fuzzy procedure, new indices of risk
may be defined, taking into account the possibility of intermediate
levels of exposure and affection.
Subject: Probabilistic methods applied to hazard
games
Most of the earliest probability evaluations came from the world
of gambling. Birth and diffusion of new games and new versions
of old games, so frequent in recent years, allows a wide
spectrum of probabilistic applications, thus giving new useful
elements to gamblers and new hints for research to experts in
statistics and probability.
Subject: Statistical methods for testing the efficacy
of some alternative therapies, especially high dilutions and
electro-magnetism
Alternative therapies are widely diffused nowadays, but
physicians and patients do simply believe in such therapies, even
if there is a lack of scientific experimentation, which needs a
solid statistic confirmation. In order to improve such situation, a
research group has been created, in order to implement a scientific
sperimentation in which "patients" are plants, thus avoiding a
placebo effect.
