Absolute Experimental Frequency
An Absolute Experimental Frequency is an empirical frequency for Random Experiment Outcomes that occur within some given Random Experiment Event.
- AKA: Random Experiment Trial Frequency.
- …
- Counter-Example(s)
- See: Expected Frequency, Theoretical Frequency, Experimental Probability.
References
2003
- http://www.teacherlink.org/content/math/interactive/probability/glossary/glossary.html
- Experimental Frequency: The number of times an outcome has been observed to occur during repeated trials of an experiment; also called Empirical Frequency.
2002
- http://www.teacherlink.org/content/math/interactive/probability/glossary/glossary.html
- Empirical Probability: Probability estimate for an outcome of an experiment based on the outcome’s empirical frequency; also called Experimental Probability.
- Experimental Frequency: The number of times an outcome has been observed to occur during repeated trials of an experiment; also called Empirical Frequency.
1987
- (Hogg & Ledolter, 1987) ⇒ Robert V. Hogg, and Johannes Ledolter. (1987). “Engineering Statistics.” Macmillan Publishing.
- The collection of all possible outcomes, namely [math]\displaystyle{ S }[/math] = {H,T}, is called the sample space. Suppose that we are interested in a subset [math]\displaystyle{ A }[/math] of our sample space; for example, in our case, let A={H} represent heads. Repeat this random experiment a number of times, say [math]\displaystyle{ n }[/math], and count the number of times, say [math]\displaystyle{ f }[/math], that the experiment ended in A. Here [math]\displaystyle{ f }[/math] is called the frequency of the event A and the ratio f/n is called the relative frequency of the event [math]\displaystyle{ A }[/math] in the [math]\displaystyle{ n }[/math] trials of the experiment.
- Random experiments have outcomes that cannot be determined with certainty before the experiments are performed... The collection of all possible outcomes, namely [math]\displaystyle{ S }[/math] = {H,T}, is called the sample space. Suppose that we are interested in a subset [math]\displaystyle{ A }[/math] of our sample space; for example, in our case, let A={H} represent heads. Repeat this random experiment a number of times, say [math]\displaystyle{ n }[/math], and count the number of times, say [math]\displaystyle{ f }[/math], that the experiment ended in A. Here [math]\displaystyle{ f }[/math] is called the frequency of the event A and the ratio f/n is called the relative frequency of the event [math]\displaystyle{ A }[/math] in the [math]\displaystyle{ n }[/math] trials of the experiment.