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Pivotal Quantities and Confidence Intervals by muralidharan is a document available to read on EtoBox.

What is Pivotal Quantities and Confidence Intervals about?

(1) The document shows that Y/θ is a pivotal quantity with a distribution of 2(1-z) for 0<z<1. The 90% lower confidence limit for θ is the value of z1 such that G(z1)=0.05, which is 0.0253. (2) It shows that 2Y/θ is a pivotal quantity with a chi-squared distribution with 2 degrees of freedom. The 90% confidence interval for θ can be derived using the pivotal quantity 2Y/θ.

Author
muralidharan
Language
EN