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)
  • Experimental Relative Frequency.
• See: Expected Frequency, Theoretical Frequency, Experimental Probability.

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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.

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