3. Time intervals (in minutes) X₁,..., Xn between successive eruptions of a geyser are modeled as i.i.d. X₁ Exponential(X), where A (> 0) is the eruption rate per minute. We want to report a plausible range for the median interval time. (a) (b) (c) Construct an approximate 95% confidence interval for A using the asymptotic distri- bution of AMLE. (Hint: use the approximation method for confidence interval) Find the MLE of A. Find the Fisher information of A.

3. Time intervals (in minutes) X₁,..., Xn between successive eruptions of a geyser are modeled as i.i.d. X₁ Exponential(X), where A (> 0) is the eruption rate per minute. We want to report a plausible range for the median interval time. (a) (b) (c) Construct an approximate 95% confidence interval for A using the asymptotic distri- bution of AMLE. (Hint: use the approximation method for confidence interval) Find the MLE of A. Find the Fisher information of A.

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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