Tossup

In functional analysis, this noun denotes linear functionals that act on compactly-supported test functions, which define a namesake generalized derivative. Methods that are “[this noun]-free” are also called “nonparametric” and include the Kolmogorov–Smirnov test. (-5[2])A letter that stands for this noun appears above the arrow in the central limit theorem, which concerns “convergence in [this word].” (10[1]-5[1])This noun appears (-5[1])in the name of a class of increasing, right-continuous (10[1])functions that converge to zero (-5[1])and one at minus and plus infinity. Those functions, which are found by integrating probability density functions, are written capital F and preface this noun with “cumulative.” (10[2]-5[1])For 10 points, give this word for the spread of probabilities taken by a random (10[1])variable, such as the Poisson or binomial. (10[1])■END■ (10[2]0[2])

ANSWER: distribution [or word forms like distributional or distributed; accept distributional derivative; accept distribution-free; accept convergence in distribution; accept cumulative distribution function]
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