Text this: Interpolating data in transition probability matrix of Markov chain to improvise average length of stay

           __   __  __    __    ______    ______  
    ___    \ \\/ // \ \\ / //  /_   _//  /_   _// 
   /   ||   \ ` //   \ \/ //    -| ||-     | ||   
  | [] ||    | ||     \  //     _| ||_    _| ||   
   \__ ||    |_||      \//     /_____//  /__//    
    -|_||    `-`'       `      `-----`   `--`     
     `-`