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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6010 • Linear Models

Spring 2010 • Question 7

Question

Math 6010 • Linear Models Spring 2010 • Question 7

Let \(X_1,\ldots ,X_n\) be an i.i.d. sample from a \(\operatorname {Uniform}(0,\theta )\) distribution, where \(\theta >0\) is unknown. Find a 95% confidence interval for \(\theta \).

Raw LaTeX

Let \(X_1,\ldots,X_n\) be an i.i.d. sample from a \(\UNIF(0,\theta)\)
distribution, where \(\theta>0\) is unknown. Find a 95\% confidence interval for
\(\theta\).

Topic Tags

Estimator Distributions Multivariate Normal Distributions Simultaneous Confidence Intervals Uniform Integrability and Truncation Methods