A moment recursive formula for a class of distributions

We provide a recursive formula for the computation of moments of distributions belonging to a subclass of the exponential family. This subclass includes important cases as the binomial, negative binomial, Poisson, gamma and normal distribution, among others. The recursive formula provides a procedur...

ver descrição completa

Detalhes bibliográficos
Autor: Rincón, Luis
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Costa Rica
Recursos:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/44507
Acesso em linha:https://revistas.ucr.ac.cr/index.php/matematica/article/view/44507
Access Level:acceso abierto
Palavra-chave:moments
exponential family
recursive formula
momentos
familia exponencial
fórmula recursiva
Descrição
Resumo:We provide a recursive formula for the computation of moments of distributions belonging to a subclass of the exponential family. This subclass includes important cases as the binomial, negative binomial, Poisson, gamma and normal distribution, among others. The recursive formula provides a procedure to sequentially calculate the moments using only elementary operations. The approach makes no use of the moment generating function.