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How long is the wait for an uncommon event?

C L Rümke

    Journal of Chronic Diseases
    |January 1, 1982
    PubMed
    Summary

    Predicting patient series lengths for drug side effects is possible using the negative binomial distribution. This statistical method helps forecast when specific events, like exanthema, will occur within patient groups.

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    Area of Science:

    • Statistics
    • Biostatistics
    • Probability Theory

    Background:

    • Predicting the occurrence of rare events in series is crucial for risk assessment.
    • The negative binomial distribution models the number of trials needed for a fixed number of successes.

    Purpose of the Study:

    • To demonstrate the application of the negative binomial distribution for predicting series lengths until a specified number of events occur.
    • To illustrate its use in medical contexts, such as forecasting drug side effects.

    Main Methods:

    • Utilizing the negative binomial distribution to model event occurrences.
    • Applying the distribution to predict the number of patients needed to observe 1 to 5 instances of a specific event.

    Main Results:

    • The lengths of series until r events occur follow a negative binomial distribution.
    • The study provides a framework for predicting series lengths based on known event probabilities.

    Conclusions:

    • The negative binomial distribution is a valuable tool for predicting event occurrences in series.
    • This method has practical applications in healthcare, including drug safety monitoring and screening procedures.

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