countsTab: Counts sequences of length d+1 in a sample
Description
Creates a tibble containing all unique sequences of length d+1 found in
the sample, along with their absolute frequencies.
Usage
countsTab(X, d)
Value
A tibble with all observed sequences of length d+1 and their
absolute frequencies.
Arguments
X
A numeric vector, a single-column data frame, or a list with a
sample from a Markov chain. The first element must be the most recent observation.
d
A positive integer specifying the number of elements in each sequence,
which will be d+1. Typically, d represents the chain order or
serves as an upper limit for it.
Details
The function generates a tibble with d+2 columns. In the first
d+1 columns, each row displays a unique sequence of size d+1
observed in the sample. The last column, called Nxa, contains the
number of times each of these sequences appeared in the sample.
The number of rows in the output varies between \(1\) and \(|A|^{d+1}\),
where \(|A|\) is the number of unique states in X, since it depends
on the number of unique sequences that appear in the sample.