| 释义 |
Weibull, n. Math.|ˈvaɪbʊl|
The name of Ernst H. W. Weibull (1887–1979), Swedish physicist, used attrib. to designate a probability distribution (discussed by Weibull in Jrnl. Applied Mech. (1951) XVIII. 293) with the probability density function of the form a(x-ε)k-1 exp (-b(x-ε)k) , where a, b, k (>1), and ε are positive constants, and x>ε .
1955J. Lieblein in Ann. Math. Statistics XXVI. 330 This note expresses the first two moments of the order statistics in samples from the Weibull distribution (sometimes referred to as the ‘third’ asymptotic distribution of extreme values) in terms of known (incomplete B and Γ) functions. 1964Technometrics VI. 415 A probability distribution function descriptive of the failure rate in many situations is the Weibull function. 1987Nature 3 Dec. 428/1 Medley at al. estimate an 8.23-yr mean by fitting a Weibull distribution to adult (5–59 yr at transfusion) cases. |