Minicurso e palestra por Bent Jorgensen

["Clarice G.B. Demetrio" <clarice@esalq.usp.br>]

Caros colegas,
 O prof. Bent Jorgensen (Department of Mathematics and Computer Science,
University of Southern Denmark, Odense, Denmark)
 está visitando o Departamento de Ciências Exatas
 da ESALQ/USP, no período de 02 a 28/01/2012, em um projeto FAPESP.
 Nos dias
 - 25/01 das 15 as 17h e
 - 26/01 das 10 às 12h
 ele irá ministrar o minicurso "Uma Revisão de Modelos Lineares
Generalizados"

e no dia 26/01 das 15 às 16h irá proferir a palestra
 "Bias-corrected Pearson estimating functions for Taylor?s power law
 applied to benthic macrofauna data"
 Abstract
 In 1961 L. R. Taylor proposed a power law for the relationship between
the spatial mean and variance of population abundance in biology, which
over time has been observed for a large number of species, as well as in
many other epidemiological, social and physical systems. Many disparate
explanations for the power law have been proposed in the literature, but
no consensus on their adequacy has emerged. We review the historical
background for the power law and some the controversies surrounding it.
We then turn to a possible theoretical explanation based on the power
variance functions of the so-called Tweedie distributions, along with a
new spatial self-similarity hypothesis. The theory suggests that there
are actually two separate power laws in swing, one describing the spatial
variance as a function of population density, and the other involving the
size of the sampled area. This is confirmed empirically, and in turn
leads us to propose a new log-linear spatial modelling framework with
long-range dependence, which allows simultaneous estimation of the
regression parameters and the two power parameters. We discuss some of
the possible ramifications of these ideas for studying animal abundance
data and other spatial phenomena exhibiting clustering and long-range
dependence.

Reference:
 JøRGENSEN, B.; DEMÉTRIO, C.G.B.; Kristensen, E.; Banta, G.T.; Petersen,
H.C.; Delefosse, M.  Bias-corrected Pearson estimating functions for
Taylor?s power law applied to benthic macrofauna data. Statistics and
Probability Letters, 81: 749?758, 2011.  doi:10.1016/j.spl.2011.01.005

Cordiais saudações,
 Clarice
 New email address: clarice.demetrio@usp.br



-- 
Clarice Garcia Borges Demétrio
Departamento de Ciências Exatas
Escola Superior de Agricultura "Luiz de Queiroz"
Universidade de São Paulo,
13418-900 Piracicaba, SP
New email address: clarice.demetrio@usp.br
Brasil
phone: 55 19 34294144 R216


Biometry, the active pursuit of biological knowledge by quantitative
methods.? ? R.A. Fisher, 1948