integral

(noun)

the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed

Related Terms

Examples of integral in the following topics:

  • Continuous Probability Distributions

    • The probability for the random variable to fall within a particular region is given by the integral of this variable's density over the region.
    • The probability density function is nonnegative everywhere, and its integral over the entire space is equal to one.

  • Continuous Sampling Distributions

    • The probability for the random variable to fall within a particular region is given by the integral of this variable's density over the region .

  • The Correction Factor

    • From a rigorous theoretical standpoint, the expected value of a continuous variable is the integral of the random variable with respect to its probability measure.
    • Thus, for a continuous random variable the expected value is the limit of the weighted sum, i.e. the integral.

  • Expected Value

    • From a rigorous theoretical standpoint, the expected value of a continuous variable is the integral of the random variable with respect to its probability measure.
    • Thus, for a continuous random variable the expected value is the limit of the weighted sum, i.e. the integral.

  • The Density Scale

    • The probability for the random variable to fall within a particular region is given by the integral of this variable's density over the region .

  • Properties of Continuous Probability Distributions

    • When we use formulas to find the area in this textbook, the formulas were found by using the techniques of integral calculus.

  • Describing Qualitative Data

  • Significance Levels

    • To compute a $p$-value from the test statistic, one must simply sum (or integrate over) the probabilities of more extreme events occurring.

  • Stem-and-Leaf Displays

    • They retain (most of) the raw numerical data, often with perfect integrity.

  • Statistical Controls

    • They conducted 11 selected experiments in materials science to determine their practical application for Spacelab missions and to identify integration and operational problems that might occur on actual missions.