Module 6:Random walks and related areas
  Lecture 24:Random woalk and other areas
 

This is an autoregressive process given by  and by stimulating it  number of times and choosing  we can model the process as an auto-regressive process. These types of model can be used to understand interest rate behavior in finance.
Consider stages are denotes by ,  and . Thus :

 



          

   

This is the  element of the

As an example consider , then . On similar lines one can find  and .
                                           
In case , i.e., the process depends on the final state and has a probability distribution denoted by , for different value of , then we can deduce that each state,  is a stationary state.