Probability Forecasts#
Forecasts stated as probabilities of events.
Important
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What it is#
A probability forecast states the probability of a specific outcome or event rather than a single deterministic value — “a 70% chance of rain,” “a 4% probability of default.” It is the event-focused face of probabilistic forecasting: instead of committing to one number, it quantifies how likely each outcome is.
How it’s expressed#
As a probability per event, or as certainty levels on a distribution — a P80 forecast is 80% certain (a 20% chance of being exceeded), a P50 is the median. A full probability forecast carries the whole distribution of outcomes.
Why it matters#
Probabilities are what risk-based decisions consume — a threshold on the forecast (escalate if \(P(\text{default}) > 5\%\)) turns uncertainty into action. They must be calibrated to be trusted, and are scored with strictly proper scoring rules (e.g. the log score), which reward honest probabilities.
Theme: Risk & Probabilistic Forecasting · All terminology
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Mind map — connected ideas
Probabilistic Forecasts · Risk-Based Decisions · Classification Probability · Quantile Forecasts · Prediction Intervals (PI) · Strictly Proper Scoring Rules
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More in Risk & Probabilistic Forecasting
Continuous Probabilistic Forecasts · Continuous Ranked Probability Score (CRPS) · Deterministic forecasts · Full Distribution · Pinball Loss (a.k.a. Quantile Loss) · Point Forecasts · Predicting Percentiles · Prediction Intervals (PI) · Probabilistic Forecasts · Probabilistic Scoring · Quantile Forecasts · Quantile Level · Quantile Regression · Return Distribution
See also
Source article Adapted (context, re-expressed) in our own words from: Probability Forecasts (insightful-data-lab.com).