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tsPI (version 1.0.4)

Improved Prediction Intervals for ARIMA Processes and Structural Time Series

Description

Prediction intervals for ARIMA and structural time series models using importance sampling approach with uninformative priors for model parameters, leading to more accurate coverage probabilities in frequentist sense. Instead of sampling the future observations and hidden states of the state space representation of the model, only model parameters are sampled, and the method is based solving the equations corresponding to the conditional coverage probability of the prediction intervals. This makes method relatively fast compared to for example MCMC methods, and standard errors of prediction limits can also be computed straightforwardly.

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Version

Install

install.packages('tsPI')

Monthly Downloads

191

Version

1.0.4

License

GPL-3

Maintainer

Jouni Helske

Last Published

September 4th, 2023

Functions in tsPI (1.0.4)

avg_coverage_arima

Compute the average coverage of the prediction intervals computed by naive plug-in method and arima_pi
acv_arma

Compute a theoretical autocovariance function of ARMA process
jeffreys

Compute different types of importance weights based on Jeffreys's prior
tsPI

Improved Prediction Intervals for ARIMA Processes and Structural Time Series
avg_coverage_struct

Compute the average coverage of the prediction intervals computed by struct_pi and plug-in method
struct_pi

Prediction Intervals for Structural Time Series with Exogenous Variables Using Importance Sampling
dacv_arma

Compute the partial derivatives of theoretical autocovariance function of ARMA process
information_arma

Large Sample Approximation of Information Matrix for ARMA process
arima_pi

Prediction Intervals for ARIMA Processes with Exogenous Variables Using Importance Sampling