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glarma

Generalized Linear Autoregressive Moving Average Models

v1.7-1 · Mar 28, 2025 · GPL (>= 2)

Description

Functions are provided for estimation, testing, diagnostic checking and forecasting of generalized linear autoregressive moving average (GLARMA) models for discrete valued time series with regression variables. These are a class of observation driven non-linear non-Gaussian state space models. The state vector consists of a linear regression component plus an observation driven component consisting of an autoregressive-moving average (ARMA) filter of past predictive residuals. Currently three distributions (Poisson, negative binomial and binomial) can be used for the response series. Three options (Pearson, score-type and unscaled) for the residuals in the observation driven component are available. Estimation is via maximum likelihood (conditional on initializing values for the ARMA process) optimized using Fisher scoring or Newton Raphson iterative methods. Likelihood ratio and Wald tests for the observation driven component allow testing for serial dependence in generalized linear model settings. Graphical diagnostics including model fits, autocorrelation functions and probability integral transform residuals are included in the package. Several standard data sets are included in the package.

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Check History

OK 14 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Mar 10, 2026

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Dependency Network

Dependencies Reverse dependencies MASS fableCount bayesRecon glarma

Version History

new 1.7-1 Mar 10, 2026
updated 1.7-1 ← 1.6-0 diff Mar 27, 2025
updated 1.6-0 ← 1.5-0 diff Feb 6, 2018
updated 1.5-0 ← 1.4-0 diff Jan 24, 2017
updated 1.4-0 ← 1.3-0 diff Oct 2, 2015
updated 1.3-0 ← 1.2-0 diff Jan 4, 2015
updated 1.2-0 ← 1.1-0 diff Jul 30, 2014
updated 1.1-0 ← 1.0-2 diff Jan 16, 2014
new 1.0-2 Dec 15, 2013