单词 | complete beta function |
释义 | > as lemmascomplete 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). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function function1758 exponential1784 potential function1828 syzygy1850 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. < as lemmas |
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