Repeatable Observable Stochastic Process
An Repeatable Observable Stochastic Process is a observable stochastic process that is an repeatable stochastic process.
- AKA: Chance Experiment.
- Context:
- It can be instantiated with a Stochastic Event Outcome Sequence.
- Example(s):
- See: Unobservable Stochastic Process.
References
2009
- http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/Chapter1.pdf
- QUOTE: In this chapter, we shall first consider chance experiments with a finite number of possible outcomes [math]\displaystyle{ \mathcal{w}_1, \mathcal{w}_2, ..., \mathcal{w}_n }[/math]. For example, we roll a die and the possible outcomes are 1, 2, 3, 4, 5, 6 corresponding to the side that turns up. We toss a coin with possible outcomes H (heads) and T (tails).
It is frequently useful to be able to refer to an outcome of an experiment. For example, we might want to write the mathematical expression which gives the sum of four rolls of a die. To do this, we could let Xi, i = 1; 2; 3; 4; represent the values of the outcomes of the four rolls, and then we could write the expression :[math]\displaystyle{ X_1 + X_2 + X_3 + X_4 }[/math] for the sum of the four rolls. The Xi's are called random variables. A random variable is simply an expression whose value is the outcome of a particular experiment. Just as in the case of other types of variables in mathematics, random variables can take on different values.
- QUOTE: In this chapter, we shall first consider chance experiments with a finite number of possible outcomes [math]\displaystyle{ \mathcal{w}_1, \mathcal{w}_2, ..., \mathcal{w}_n }[/math]. For example, we roll a die and the possible outcomes are 1, 2, 3, 4, 5, 6 corresponding to the side that turns up. We toss a coin with possible outcomes H (heads) and T (tails).