1. Let X1, Xn be i.i.d. random variables with a pdf .... f(x) = = e-(x-0), 10, x > 0, elsewhere for a constant parameter 0. This pdf is called the shifted exponential. (a) Compute the c.d.f. of Y = min(X1, ..., Xn). and investigate the distribution that Yn converges in distribution. (b) Compute the c.d.f. of Zn = n(Y₁-0). Investigate the distribution that Zn converges in distribution.

1. Let X1, Xn be i.i.d. random variables with a pdf .... f(x) = = e-(x-0), 10, x > 0, elsewhere for a constant parameter 0. This pdf is called the shifted exponential. (a) Compute the c.d.f. of Y = min(X1, ..., Xn). and investigate the distribution that Yn converges in distribution. (b) Compute the c.d.f. of Zn = n(Y₁-0). Investigate the distribution that Zn converges in 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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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