I am trying to understand various types of stochastic processes. In order for that to happen, I needed some simple examples to be built so that I can build an intuition about them.
According to the book of Hwei Hsu (Chapter-5, Page-161, "Description of a Random Process"), I can design the following simple and intuitive examples myself using only a standard die:
2. Continuous parameter (or Continuous-time) process
???
4. Continuous-state process
Suppose, we roll a die either a finite ($n$) number of times or an infinite number of times and plot $\frac{e^{X(t)}}{1000}$ as a graph like the following:
My first question is: are my examples correct? If not, kindly help me to make the necessary corrections.
Secondly, what would be the example of (2)?