Exercise 5.4 Show that, if X follows the GEV distribution with parameters - § < 0, µ, and 0 > 0, then Y = 1+ (x − μ)/0 follows the Weibull distribution defined in Section 4.4.2, and identify the parameters of the standard Weibull distribution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 19E
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Exercise 5.4 Show that, if X follows the GEV distribution with parameters
§ < 0, μ, and > 0, then Y = 1+§ (x-μ)/0 follows the Weibull distribution
defined in Section 4.4.2, and identify the parameters of the standard Weibull
distribution.
Transcribed Image Text:Exercise 5.4 Show that, if X follows the GEV distribution with parameters § < 0, μ, and > 0, then Y = 1+§ (x-μ)/0 follows the Weibull distribution defined in Section 4.4.2, and identify the parameters of the standard Weibull distribution.
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