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Problem Set 3: Exponential Distributions Confidence Intervals, Assignments of Mathematical Statistics

Boston College (BC)Mathematical Statistics

Problem set 3 for a statistics course focusing on confidence intervals for the parameter λ of an exponential distribution. Students are required to complete derivations and calculations based on given sections from the textbook.

Typology: Assignments

Pre 2010

Uploaded on 02/25/2010

koofers-user-j9f
koofers-user-j9f 🇺🇸

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MT427 Problem Set 3
Due Monday, February 9, 2009
1. §5.3.2
2. §5.3.8
3. §5.3.12
4. §5.3.24
5. Complete the derivation begun in class of the formula for a (1 −α)100% confidence interval
for λ, given a random sample of size nfrom an Exponential(λ) distribution, with pdf fX(x;λ) =
λe−λx, x > 0.
6. §5.4.6
7. §5.4.10
8. §5.4.14
9. §5.4.17

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5.for λe − Complete the derivation begun in class of the formula for a (1λλx, given a random sample of size, x > 0. n from an Exponential(λ) distribution, with pdf − α)100% confidence interval fX (x; λ) =

 - MT427 Problem Set
  • Due Monday, February 9,
    1. §5.3.
    1. §5.3.
    1. §5.3.
    1. §5.3.
    1. §5.4.
    1. §5.4.
    1. §5.4.
    1. §5.4.