micss - Modified Iterative Cumulative Sum of Squares Algorithm
Companion package of Carrion-i-Silvestre & Sansó (2023):
"Generalized Extreme Value Approximation to the CUMSUMQ Test
for Constant Unconditional Variance in Heavy-Tailed Time
Series". It implements the Modified Iterative Cumulative Sum of
Squares Algorithm, which is an extension of the Iterative
Cumulative Sum of Squares (ICSS) Algorithm of Inclan and Tiao
(1994), and it checks for changes in the unconditional variance
of a time series controlling for the tail index of the
underlying distribution. The fourth order moment is estimated
non-parametrically to avoid the size problems when the
innovations are non-Gaussian (see, Sansó et al., 2004).
Critical values and p-values are generated using a Generalized
Extreme Value distribution approach. References
Carrion-i-Silvestre J.J & Sansó A (2023)
<https://www.ub.edu/irea/working_papers/2023/202309.pdf>.
Inclan C & Tiao G.C (1994)
<doi:10.1080/01621459.1994.10476824>, Sansó A & Aragó V &
Carrion-i-Silvestre J.L (2004)
<https://dspace.uib.es/xmlui/bitstream/handle/11201/152078/524035.pdf>.