Weibulln.
/ˈvʌɪbʊl/ Mathematics.
Used attributively 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−1exp(−b(x−ε)k), where a, b, k (>1), and ε are positive constants, and x>ε.
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multinomial1608
Poisson1839
Poissonian1894
cumulative1950
Weibull1955
1955 J. Lieblein in Ann. Math. Statistics 26 330 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.
1964 Technometrics VI. 415 A probability distribution function descriptive of the failure rate in many situations is the Weibull function.
1987 Nature 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.
This entry has not yet been fully updated (first published 1993; most recently modified version published online September 2018).
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