Equation 4 · Futures Methods and Technological Scenarios in Practice: An Advanced Technical Guide
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol o_i
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
where is the forecaster’s stated probability on question i and \{0,1\} is the realized outcome. Lower is better; a perfectly calibrated coin-flip forecaster scores 0.25 on a 50/50 question, and a forecaster who says 100 percent and is wrong scores the maximum possible 1.0.
Sources cited in the article section
- [2] Expert Political Judgment: How Good Is It? How Can We Know? ↗
- [3] Strictly Proper Scoring Rules, Prediction, and Estimation ↗
- [7] A Primer on the Metaculus Scoring Rule ↗
- [1] Identifying and Cultivating Superforecasters as a Method of Improving Probabilistic Predictions ↗
- [4] Aggregative Contingent Estimation (ACE) Program ↗
These citations give research context. Read each source to check which claims it supports.
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