The Weibull distribution is given by
(1) | |||
(2) |
(3) | |||
(4) | |||
(5) | |||
(6) |
(7) |
A slightly different form of the distribution is
(8) | |||
(9) |
(10) | |||
(11) |
The Weibull distribution gives the distribution of lifetimes of objects. It was originally proposed to quantify fatigue data, but it is also used in analysis of systems involving a ``weakest link.''
See also Fisher-Tippett Distribution
References
Mendenhall, W. and Sincich, T. Statistics for Engineering and the Sciences, 4th ed. Englewood Cliffs, NJ:
Prentice Hall, 1995.
Spiegel, M. R. Theory and Problems of Probability and Statistics. New York: McGraw-Hill, p. 119, 1992.
© 1996-9 Eric W. Weisstein