how to determine if there are 2 categories? can we use markov as independent generator for audio how to determine if the two trajectories are equal can we use directiv if it is valid how to determine the difference between independent and clustered time series what kind of model do we use for a trajectories can a markov process be used with an autoregressive model how to determine the null hypothesis of independent generators what is the best way to find if the two trajectories in a data model have the same structure and that they are independent generators? how to find the number of categories of each trajectory what type of markov model is used to predict the amplitude of an audio signal how to analyze a discrete time period how to determine the null hypothesis in a data set what kind of model can you use to find the null hypothesis? how to use this model? what model is used for audio trajectories what kind of data do you compare audio samples how to use a discrete time series for data are independent generators valid which statement best describes the validity of an autoregressive model and which statement best explains the limitations of an autoregressive method? how to determine if a data set is a linear time series