Stochastic Processes,
Orderings and Dependence Contributions by Bruno
Bassan and recent developments
October 8, 2014
Aula Picone, Dipartimento di Matematica
Università "La Sapienza", Piazzale A.
Moro 2, Roma
Scientific Program
10.00 - 10.15
Opening
10.15 -
10.55 Yosef Rinott (Hebrew University,
Jerusalem)
On model
selection
11.00 - 11.40
Fabrizio
Durante (Free University of Bolzano)
and Carlo Sempi (University of Lecce)
The
origin of the development of
semi-copulas and their applications
11.45 - 12.30
Time for short contributions
12.30 -
14.30 LUNCH BREAK
14.30- 15.10 Franco Pellerey (Politecnico di Torino)
Stochastic
orders: a
brief introduction and Bruno's contributions
15.15 - 15.45
Time for short contributions
15.45 -
16.15 Break
16.15 - 16.55
Enzo Orsingher (University
of Rome, "La Sapienza")
Random
fields and
processes at finite velocity
17.00-17.40
Isaac Meilijson (Tel
Aviv University)
Granule
membranes play
dice. The quantal nature of secretion
17.45 Closing remarks
Partially supported by Research Projects "Modelli e Algoritmi Stocastici: Convergenza e Ottimizzazione" and "Modelli Probabilistici, Analisi del Rischio e Confronti Stocastici", 2009 and 2013, at Università di Roma "La Sapienza".
ABSTRACTS
OF TALKS
Fabrizio
Durante,
Libera Università di Bolzano, and Carlo Sempi, Università
di Lecce
The origin of the
development of semi-copulas and
their applications
Abstract: The
talk discusses the class of semi-copulas that originated from a
seminal paper
by Bassan and Spizzichino (2003) and, since then, have been
applied in various
fields of applied probability and fuzzy set theory.
Isaac Meilijson, School of
Mathematical Sciences, Tel Aviv University
Granule
membranes play dice. The
quantal nature of secretion
Abstract:
Secretory cells
contain small and large granules, but the functional
significance of granule
size is unclear. Attempts to understand the granule life cycle
led us to
establish a growth and elimination stochastic model that
explains granule
dynamics from the creation of unit granules, via aggregation of
these unit
granules into bigger ones, to their secretion out of the cell at
some stage, by
steady slow basal secretion or by occasional fast evoked
secretion upon demand.
Almost mimicking a Last-In-First-Out queue discipline, the unit
granule is the
most probable granule to be secreted under basal secretion,
while larger
granules, with longer shelf-life, function as inventory to be
stored for
emergency and secreted under evoked secretion. Granule fusion,
either with each
other to grow or with the cell membrane for secretion, is a
fascinating drama
played by SNARE proteins. The talk, a synopsis of this drama,
will show
evidence for granule aggregation and describe the information
role it plays in
the communication of the cell with its environment. Joint work
with Ilan
Hammel, Faculty of Medicine, Tel Aviv University.
Enzo
Orsingher
, Università di Roma "La Sapienza".
Random
fields and processes at finite
velocity
Abstract:
The distribution of
maxima for some random fields will be analyzed in terms of
Slepian's
inequality. Some extensions of the telegraph process are also
considered.
Franco
Pellerey,
Politecnico di Torino
Stochastic
orders: a brief
introduction and Bruno's contributions
Abstract: The
talk provides a short introduction to stochastic orders and
their use in
multivariate survival analysis, one of the scientific interest
of Bruno Bassan.
A description of his main results in this topic is also
provided,
together with an example of recent applications of his studies.
Yosef Rinott, Hebrew University, Jerusalem
On model
selection
Abstract: I
will discuss the notion of a model in statistics and
applied
probability, and some models in Bruno's work. I will then
briefly discuss
criteria for model selection in statistics