markov_chain: A numeric vector of states of a Markov chain.
sdd: A character, the name of the state-dependent distribution.
mu: A numeric vector of expected values.
sigma: A numeric vector of standard deviations (if any).
df: A numeric vector of degrees of freedom (if any).
seed: Sets a seed for the observation sampling.
total_length: An integer, the total length of the output vector. Must be greater or equal than length(markov_chain).
Returns
A numeric vector of length total_length, where the first length(markov_chain) elements are numeric values and the last total_length - length(markov_chain) elements are NA_real_.