InterNL - Time Series Intervention Model Using Non-Linear Function
Intervention analysis is used to investigate structural
changes in data resulting from external events. Traditional
time series intervention models, viz. Autoregressive Integrated
Moving Average model with exogeneous variables (ARIMA-X) and
Artificial Neural Networks with exogeneous variables (ANN-X),
rely on linear intervention functions such as step or ramp
functions, or their combinations. In this package, the
Gompertz, Logistic, Monomolecular, Richard and Hoerl function
have been used as non-linear intervention function. The
equation of the above models are represented as: Gompertz: A *
exp(-B * exp(-k * t)); Logistic: K / (1 + ((K - N0) / N0) *
exp(-r * t)); Monomolecular: A * exp(-k * t); Richard: A + (K -
A) / (1 + exp(-B * (C - t)))^(1/beta) and Hoerl:
a*(b^t)*(t^c).This package introduced algorithm for time series
intervention analysis employing ARIMA and ANN models with a
non-linear intervention function. This package has been
developed using algorithm of Yeasin et al.
<doi:10.1016/j.hazadv.2023.100325> and Paul and Yeasin
<doi:10.1371/journal.pone.0272999>.