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Thanks to computer models, the odds on a freakish storm or earthquake are better known, epidemiologists are more successful at tracking diseases, and even man-made crises such as banking debacles and stockmarket crashes can be catalogued and studied to produce better (though, as we shall see, still far from perfect) forecasts.
Some have argued that the above figure should have a downward trend because of improvements in weather forecasting whereas we interpret the experience of the 2009 Victorian fires in which 173 people lost their lives as suggesting that even with near perfect forecasts there is always the possibility of large numbers of fatalities.
If we could make perfect forecasts, then y f (t) = y(t).
The results indicate that considering the forecasting uncertainty, 5-day sliding time window method can obtain 90% of the theoretically possible cost savings that can be derived based on perfect forecasts.
Since for 9 months of the year water storage is not an option and the best strategy available is "use it or lose it", even perfect forecasts cannot yield value.
This would allow less than perfect forecasts to be used even by expected value decision makers, with the case-by-case potential to unlock a great deal of value.
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PlayStation's core crew spent weeks in Manhattan's Chelsea Hotel waiting for the perfect forecast.
A perfect forecast for wind, if it represented 20 percent of the power supply, would save $1.6 billion to $4.1 billion a year, according to several studies.
But that science, he emphasizes, will never offer a perfect forecast; the atmosphere, with complex links to the sun and oceans, will long remain a source of surprises.
A perfect forecast would require not only a perfect model, but also perfect knowledge of wind, temperature, humidity and other conditions everywhere around the world at one moment of time.
BACK in the spring, James Hamilton provided the economics world with one of the more interesting results of the crisis and recession that if you took a macroeconomic model and plugged in observed oil prices through the middle of 2008, you got a near perfect forecast for output in the third quarter of 2008, nevermind the financial crisis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com