Discrete Stochastic Processes examples












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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:



1. Discrete-parameter (or Discrete-time) process
3. Discrete-state process (or a Chain)



Suppose, we roll a die either a finite ($n$) number of times or an infinite number of times and plot them as a graph like the following:



enter image description here



Are my examples correct? If not, kindly help me to make the necessary corrections.










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  • $begingroup$
    The example is a correct example of a simple process.
    $endgroup$
    – herb steinberg
    Jan 10 at 22:05
















0












$begingroup$


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:



1. Discrete-parameter (or Discrete-time) process
3. Discrete-state process (or a Chain)



Suppose, we roll a die either a finite ($n$) number of times or an infinite number of times and plot them as a graph like the following:



enter image description here



Are my examples correct? If not, kindly help me to make the necessary corrections.










share|cite|improve this question









$endgroup$












  • $begingroup$
    The example is a correct example of a simple process.
    $endgroup$
    – herb steinberg
    Jan 10 at 22:05














0












0








0





$begingroup$


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:



1. Discrete-parameter (or Discrete-time) process
3. Discrete-state process (or a Chain)



Suppose, we roll a die either a finite ($n$) number of times or an infinite number of times and plot them as a graph like the following:



enter image description here



Are my examples correct? If not, kindly help me to make the necessary corrections.










share|cite|improve this question









$endgroup$




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:



1. Discrete-parameter (or Discrete-time) process
3. Discrete-state process (or a Chain)



Suppose, we roll a die either a finite ($n$) number of times or an infinite number of times and plot them as a graph like the following:



enter image description here



Are my examples correct? If not, kindly help me to make the necessary corrections.







probability stochastic-processes random-variables






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 10 at 20:44









user366312user366312

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667418












  • $begingroup$
    The example is a correct example of a simple process.
    $endgroup$
    – herb steinberg
    Jan 10 at 22:05


















  • $begingroup$
    The example is a correct example of a simple process.
    $endgroup$
    – herb steinberg
    Jan 10 at 22:05
















$begingroup$
The example is a correct example of a simple process.
$endgroup$
– herb steinberg
Jan 10 at 22:05




$begingroup$
The example is a correct example of a simple process.
$endgroup$
– herb steinberg
Jan 10 at 22:05










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