glarma v1.6-0

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Generalized Linear Autoregressive Moving Average Models

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.

Functions in glarma

Name Description
fitted.glarma Extract GLARMA Model Fitted Values
residuals.glarma Extract GLARMA Model Residuals
paramGen Parameter Generators
coef.glarma Extract GLARMA Model Coefficients
extractAIC.glarma Extract AIC from a GLARMA Model
glarma Generalized Linear Autoregressive Moving Average Models with Various Distributions
initial Initial Parameter Generator for GLARMA from GLM
summary.glarma Summarize GLARMA Fit
PIT Non-randomized Probability Integral Transformation
model.frame.glarma Extracting the Model Frame of the GLARMA Model
mySolve Matrix Inversion of the Hessian of the Log-Likelihood
OxBoatRace Oxford-Cambridge Boat Race
Asthma Daily Presentations of Asthma at Campbelltown Hospital
nobs.glarma Extract the Number of Observations from a GLARMA Model Fit
forecast Forecasting GLARMA time series
DriverDeaths Single Vehicle Nighttime Driver Deaths in Utah
plotPIT PIT Plots for a glarma Object
plot.glarma Plot Diagnostics for a glarma Object
Polio Cases of Poliomyelitis in the U.S.
RobberyConvict Court Convictions for Armed Robbery in New South Wales
logLik.glarma Extract Log-Likelihood from GLARMA Models
likTests Likelihood Ratio Test and Wald Test for GLARMA Fit
normRandPIT Random normal probability integral transformation
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Vignettes of glarma

Name
glarma.Rnw
glarma.bib
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Details

Type Package
Date 2018-02-07
VignetteBuilder knitr
License GPL (>= 2)
Packaged 2018-02-07 03:40:49 UTC; dsco036
NeedsCompilation no
Repository CRAN
Date/Publication 2018-02-07 04:26:47 UTC

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