quantile
quantile (n)
- plural
- quantiles
English Definitions:
quantile (Noun)
One of the class of values of a variate which divides the members of and batch or sample into equal-sized subgroups of adjacent values or a probability distribution into distributions of equal probability.
Quantile
Quantiles are points taken at regular intervals from the cumulative distribution function of a random variable. Dividing ordered data into essentially equal-sized data subsets is the motivation for -quantiles; the quantiles are the data values marking the boundaries between consecutive subsets. Put another way, the -quantile for a random variable is the value such that the probability that the random variable will be less than is at most and the probability that the random variable will be more than is at most . There are of the -quantiles, one for each integer satisfying .
Quantile
In statistics and probability, quantiles are cut points dividing the range of a probability distribution into continuous intervals with equal probabilities, or dividing the observations in a sample in the same way. There is one fewer quantile than the number of groups created. Common quantiles have special names, such as quartiles (four groups), deciles (ten groups), and percentiles (100 groups). The groups created are termed halves, thirds, quarters, etc., though sometimes the terms for the quantile are used for the groups created, rather than for the cut points. q-quantiles are values that partition a finite set of values into q subsets of (nearly) equal sizes. There are q − 1 partitions of the q-quantiles, one for each integer k satisfying 0 < k < q. In some cases the value of a quantile may not be uniquely determined, as can be the case for the median (2-quantile) of a uniform probability distribution on a set of even size. Quantiles can also be applied to continuous distributions, providing a way to generalize rank statistics to continuous variables (see percentile rank). When the cumulative distribution function of a random variable is known, the q-quantiles are the application of the quantile function (the inverse function of the cumulative distribution function) to the values {1/q, 2/q, …, (q − 1)/q}.
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"quantile." Kamus.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.kamus.net/english/quantile>.
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