P-splines and GAMLSS: a powerful combination, with an application to zero-adjusted distributions

被引：1

作者：

Stasinopoulos, Dimitrios M. ^{[1
]}

Rigby, Robert A. ^{[1
]}

Heller, Gillian Z. ^{[2
]}

De Bastiani, Fernanda ^{[3
]}

机构：

[1] Univ Greenwich, Sch Comp & Math Sci, London SE10 9LS, England

[2] Univ Sydney, NHMRC Clin Trials Ctr, Sydney, NSW, Australia

[3] Univ Fed Pernambuco, Ctr Exact Sci & Nat CCEN, Recife, PE, Brazil

来源：

STATISTICAL MODELLING | 2023年 / 23卷 / 5-6期

关键词：

P-splines; gamlss; Box-Cox t distribution; zero-adjusted distribution; zero-heavy distribution; semi-continuous distribution; SEMICONTINUOUS DATA; MODIFIED COUNT; MODELS; SKEWNESS; LOCATION; SCALE; PLOT;

D O I：

10.1177/1471082X231176635

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

P-splines are a versatile statistical modelling tool, dealing with nonlinear relationships between the response and explanatory variable(s). GAMLSS is a distributional regression framework which allows modelling of a response variable using any parametric distribution. The combination of the two methodologies provides one of the most powerful tools in modern regression analysis. This article discusses the application of the two techniques when the response variable is zero-adjusted (or semi-continuous), which combines a point probability at zero with a positive continuous distribution.

引用

页码：510 / 524

页数：15

共 8 条

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