Probability Integral

the name of several mutually related special functions. The integral

is called the Gaussian probability integral. For a random quantity X having a normal distribution with an expected value 0 and variance σ², the probability of the inequality ǀXǀ ≤ x is equal to Φ(x/≤. In addition to this, the name “probability integral” is used for the integrals

The latter function is usually designated erf (x) (from “error function”).

REFERENCE

Bol’shev, L. N., and N.V. Smirnov. Tablitsy matematicheskoi statistiki. Moscow, 1965.

单词	probability integral
释义	Probability Integral Probability Integral the name of several mutually related special functions. The integral is called the Gaussian probability integral. For a random quantity X having a normal distribution with an expected value 0 and variance σ², the probability of the inequality ǀXǀ ≤ x is equal to Φ(x/≤. In addition to this, the name “probability integral” is used for the integrals The latter function is usually designated erf (x) (from “error function”). REFERENCE Bol’shev, L. N., and N.V. Smirnov. Tablitsy matematicheskoi statistiki. Moscow, 1965.
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