Poisson Distribution Formula:
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The Poisson distribution is a statistical model used to predict the probability of various scorelines in football matches. It calculates the likelihood of different goal outcomes based on the expected goals for each team.
The calculator uses the Poisson distribution formula:
Where:
Explanation: The Poisson distribution assumes that goals are scored independently and at a constant average rate, making it suitable for football score prediction.
Details: Accurate score prediction is valuable for betting markets, tactical analysis, and understanding match probabilities. It helps assess the most likely outcomes based on team offensive and defensive capabilities.
Tips: Enter the expected goals for both teams (typically based on historical data or statistical models). The calculator will show the probability percentages for various scorelines from 0-0 to 5-5.
Q1: How accurate is the Poisson distribution for football predictions?
A: While not perfect, it provides a good statistical foundation for score prediction, especially when based on reliable expected goals data.
Q2: What are typical expected goals values?
A: Most matches have expected goals between 0.5-2.5 per team. Strong offensive teams may have higher values while defensive teams typically have lower values.
Q3: Why only show scores up to 5-5?
A: The probability of scores higher than 5-5 becomes extremely low in most matches, making them statistically insignificant for practical purposes.
Q4: Does this account for team form or injuries?
A: No, the basic Poisson model only uses expected goals. For more accurate predictions, additional factors should be considered in the expected goals input.
Q5: Can this be used for live betting?
A: The model can be adapted for in-game predictions by adjusting expected goals based on match events, but this calculator focuses on pre-match probabilities.