Independent Trial Process
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An Independent Trial Process is a observable repeatable stochastic process of independent trial.
- AKA: Independent Experiment.
- …
- Example(s):
- Counter-Example(s):
- See: Dependent Trial Process, Random Trial.
References
2014
- http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/Chapter11.pdf
- QUOTE: Most of our study of probability has dealt with independent trials processes. These processes are the basis of classical probability theory and much of statistics. We have discussed two of the principal theorems for these processes: the Law of Large Numbers and the Central Limit Theorem.
We have seen that when a sequence of chance experiments forms an independent trials process, the possible outcomes for each experiment are the same and occur with the same probability. Further, knowledge of the outcomes of the previous experiments does not influence our predictions for the outcomes of the next experiment. The distribution for the outcomes of a single experiment is sufficient to construct a tree and a tree measure for a sequence of n experiments, and we can answer any probability question about these experiments by using this tree measure.
- QUOTE: Most of our study of probability has dealt with independent trials processes. These processes are the basis of classical probability theory and much of statistics. We have discussed two of the principal theorems for these processes: the Law of Large Numbers and the Central Limit Theorem.