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2. Interval (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Interval_(mathematics)

   The Encyclopedia of Mathematics [7] defines interval (without a qualifier) to exclude both endpoints (i.e., open interval) and segment to include both endpoints (i.e., closed interval), while Rudin's Principles of Mathematical Analysis [8] calls sets of the form [a, b] intervals and sets of the form (a, b) segments throughout.

3. Range (statistics) - Wikipedia

   en.wikipedia.org/wiki/Range_(statistics)

   In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data. It is calculated as the difference between the largest and smallest values (also known as the sample maximum and minimum). [1] It is expressed in the same units as the data. The range provides an indication of statistical ...

4. Bracket (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Bracket_(mathematics)

   The notation [,) is used to indicate an interval from a to c that is inclusive of —but exclusive of . That is, [ 5 , 12 ) {\displaystyle [5,12)} would be the set of all real numbers between 5 and 12, including 5 but not 12.

5. Indicator function - Wikipedia

   en.wikipedia.org/wiki/Indicator_function

   The notation is also used to denote the characteristic function in convex analysis, which is defined as if using the reciprocal of the standard definition of the indicator function. A related concept in statistics is that of a dummy variable .

6. Interval arithmetic - Wikipedia

   en.wikipedia.org/wiki/Interval_arithmetic

   The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

7. 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".

8. Nested intervals - Wikipedia

   en.wikipedia.org/wiki/Nested_intervals

   4 members of a sequence of nested intervals. In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals on the real number line with natural numbers =,,, … as an index. In order for a sequence of intervals to be considered nested intervals, two conditions have to be met:

9. Empirical distribution function - Wikipedia

   en.wikipedia.org/wiki/Empirical_distribution...

   The grey hash marks represent the observations in a particular sample drawn from that distribution, and the horizontal steps of the blue step function (including the leftmost point in each step but not including the rightmost point) form the empirical distribution function of that sample.