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单词 complete beta function
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complete beta function
e. Mathematics. beta distribution, a distribution of a variate x of the form dF = xp − 1(1 − x)q − 1dx/B(p, q), where 0 ≦ x ≦ 1, p, q > 0; beta function, the function B(p, q) = 10xp − 1(1 − x)q − 1dx, where p, q > o; also called the complete beta function and the first Eulerian integral; also, the function Bx(p, q) = x0xp − 1(1 − x)q − 1dx (the incomplete beta function).
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the world > relative properties > number > algebra > [noun] > expression > function
function1758
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permutant1852
Green function1863
theta-function1871
Greenian1876
Gudermannian1876
discriminoid1877
Weierstrassian function1878
gradient1887
beta function1888
distribution function1889
Riemann zeta function1899
Airy integral1903
Poisson bracket1904
Stirling approximation1908
functional1915
metric1921
Fourier transform1923
recursive function1934
utility function1934
Airy function1939
transfer function1948
objective function1949
restriction1949
multifunction1954
restriction mapping1956
scalar function1956
Langevin function1960
mass function1961
the world > relative properties > number > probability or statistics > [noun] > distribution
distribution1854
random distribution1882
frequency distribution1895
probability distribution1895
Poisson distribution1898
binomial distribution1911
Student's t-distribution1925
sampling distribution1928
probability density1931
Poisson1940
beta distribution1941
Cauchy distribution1948
geometric distribution1950
1888 W. W. R. Ball Hist. Math. xviii. 368 The Beta and Gamma functions were invented by Euler.
1924 C. H. Forsyth Introd. Math. Anal. Statistics iv. 61 The value of any Beta function for positive values of m and n can be expressed directly in terms of Gamma functions.
1941 Biometrika 32 153 The special character of the Beta-distribution..makes it necessary to vary the method of computation in different parts of the range of variables covered.
1967 A. Battersby Network Anal. (ed. 2) 319 The method of calculating the expected value and variance of the duration of a job depends on the assumption that the duration follows a Beta distribution. The Beta distribution is derived from the Beta function.
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