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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
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Probability in Statistics

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Related Experiment Videos

Statistical short-term earthquake prediction.

Y Y Kagan, L Knopoff

    Science (New York, N.Y.)
    |June 19, 1987
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a statistical procedure to identify earthquake foreshock sequences in real-time. This method significantly improves earthquake prediction accuracy, reducing uncertainty by over 1000 times.

    Related Experiment Videos

    Area of Science:

    • Seismology
    • Statistical modeling
    • Earthquake prediction

    Background:

    • Earthquake prediction remains a significant challenge in seismology.
    • Identifying foreshock sequences is crucial for early warning systems.

    Purpose of the Study:

    • To develop and validate a statistical procedure for real-time identification of foreshock sequences.
    • To assess the predictive power of this procedure for future strong earthquakes.

    Main Methods:

    • A statistical procedure derived from a theoretical model of fracture growth was employed.
    • Analysis utilized a 7-year seismic database from central California with a magnitude cutoff of 1.5.
    • The procedure identifies foreshock sequences as they are in progress.

    Main Results:

    • The statistical procedure reduced the uncertainty in the rate of occurrence for future strong earthquakes by over 1000 times compared to the Poisson rate.
    • Approximately one-third of main shocks with local magnitude ≥ 4.0 in central California were predictable.
    • Predictions were effective for foreshocks in the magnitude range of 2.0 to 5.0, with a time scale of hours to days.

    Conclusions:

    • The developed statistical procedure offers a significant advancement in earthquake forecasting.
    • Real-time identification of foreshock sequences can substantially improve earthquake preparedness and reduce seismic risk.