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  2. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    An alternative method of calculating the odds is to note that the probability of the first ball corresponding to one of the six chosen is 6/49; the probability of the second ball corresponding to one of the remaining five chosen is 5/48; and so on. This yields a final formula of

  3. Mean directional accuracy - Wikipedia

    en.wikipedia.org/wiki/Mean_Directional_Accuracy

    Mean directional accuracy (MDA), also known as mean direction accuracy, is a measure of prediction accuracy of a forecasting method in statistics. It compares the forecast direction (upward or downward) to the actual realized direction. It is defined by the following formula:

  4. Toto (lottery) - Wikipedia

    en.wikipedia.org/wiki/Toto_(lottery)

    Toto was established to control widespread illegal gambling in Singapore during the 1960s. A manual version of Toto was launched on 9 June 1968. [1] In 1981, "snowballing" was introduced. [3] It allowed the top prize to increase from draw to draw. The system entry mode is introduced so multiple bets can be made on a single coupon. [4]

  5. Prediction interval - Wikipedia

    en.wikipedia.org/wiki/Prediction_interval

    Given a sample from a normal distribution, whose parameters are unknown, it is possible to give prediction intervals in the frequentist sense, i.e., an interval [a, b] based on statistics of the sample such that on repeated experiments, X n+1 falls in the interval the desired percentage of the time; one may call these "predictive confidence intervals".

  6. Estimating equations - Wikipedia

    en.wikipedia.org/wiki/Estimating_equations

    In statistics, the method of estimating equations is a way of specifying how the parameters of a statistical model should be estimated.This can be thought of as a generalisation of many classical methods—the method of moments, least squares, and maximum likelihood—as well as some recent methods like M-estimators.

  7. Confidence and prediction bands - Wikipedia

    en.wikipedia.org/wiki/Confidence_and_prediction...

    Confidence bands can be constructed around estimates of the empirical distribution function.Simple theory allows the construction of point-wise confidence intervals, but it is also possible to construct a simultaneous confidence band for the cumulative distribution function as a whole by inverting the Kolmogorov-Smirnov test, or by using non-parametric likelihood methods.

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    mail.aol.com

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  9. Mean absolute percentage error - Wikipedia

    en.wikipedia.org/wiki/Mean_absolute_percentage_error

    This approach leads to superior statistical properties and also leads to predictions which can be interpreted in terms of the geometric mean. [ 5 ] People often think the MAPE will be optimized at the median.