nowadays, hidden markov models are extensively utilized for modeling stochastic processes. these models help researchers establish and implement the desired theoretical foundations using markov algorithms such as forward one. however, using stability hypothesis and the mean statistic for determining the values of markov functions on unstable statistical data set has led to a significant reducti...

We discuss methods of visualizing data and statistical models. The key innovation underlying these methods is that specialized graphs illustrate underlying patterns in data and they illustrate the properties of the statistical model that are used to analyze the data. These visualization techniques provide ways of understanding the underlying relation between variables, can illustrate how the st...