Multinomial Trial

A multinomial trial is a discrete simple random experiment with [math]\displaystyle{ k\gt 2 }[/math] outcomes (an n-ary sample space).

• AKA: k-Nomial RE.
• Context:
  • It can be a associated with a Multinomial Mass Function/Probability Distribution Table), which can range from being a Uniform Probability Mass Function to being a Skewed Probability Function.
  • It can be the result of a Multinomial Process, of [math]\displaystyle{ n }[/math] trials.
• Example(s):
  • “In a recent three-way election for a large country, candidate A received 20% of the votes, candidate B received 30% of the votes, and candidate C received 50% of the votes.”
  • a Dice Roll Experiment.
  • a k-Sided Coin Toss Experiment.
  • …
• Counter-Example(s)::
  • a Binomial Trial, if k=2.
• See: Multinomial Process, Multivariate Analysis.

---

---