Joint block bootstrap for generating probabilistic base forecasts that take into account the correlation between different time series (Panagiotelis et al. 2023).
model_list: A list of all the n base forecasts models. A simulate()
function for each model has to be available and implemented according to the package list("forecast"), with the following mandatory parameters: object, innov, future, and nsim.
boot_size: The number of bootstrap replicates.
block_size: Block size of the bootstrap, which is typically equivalent to the forecast horizon.
seed: An integer seed.
Returns
A list with two elements: the seed used to sample the errors and a 3-d array (boot_size×n×block_size).
References
Panagiotelis, A., Gamakumara, P., Athanasopoulos, G. and Hyndman, R.J. (2023), Probabilistic forecast reconciliation: Properties, evaluation and score optimisation, European Journal of Operational Research 306(2), 693–706. tools:::Rd_expr_doi("http://dx.doi.org/10.1016/j.ejor.2022.07.040")