“…In essence, HMMs can be viewed as an extension of finite mixture models that allow for data dependence [12]. Applications of HMM can be found in various fields including speech recognition [13], motion time series data [14], stock market data [15], environmental science [16,17], finance [18], and medicine [19]. To naturally fit the time series data in its matrix-variate structure, HMMs with matrix-variate emissions are recently studied literature.…”