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A note on weighted count distributions

Autor
Kokonendji, C. Célestin; Perez-Casany, M.
Tipus d'activitat
Article en revista
Revista
Journal of statistical theory and applications
Data de publicació
2012
Volum
11
Número
4
Pàgina inicial
337
Pàgina final
352
URL
http://www.mscs.mu.edu/~jsta/issues/11(4)/JSTA11(4)p3.pdf Obrir en finestra nova
Resum
As particular case of the Radon-Nikodym theorem we show that any count distribution is a weighted Poisson distribution (WPD) and, more generally, a weighted version of any other count distribution with suitable support. Several properties and consequences of this result are then given. With a condition on their supports, we deduce that two count distributions are connected by the weightening operator which commutes with some classical transfor- mations. The notion of dual distribution, initially...
Paraules clau
Dual distribution, exponential dispersion model, left- truncation, mixed Poisson distribution, size biasing, weighted count distribution, zero- modication
Grup de recerca
DAMA-UPC - Data Management Group
GRBIO - Grup de Recerca en Bioestadística i Bioinformàtica

Participants