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Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex2.pdf18 Feb 2013: Isthe test uniformly most powerful for testing H0 : θ = θ0 against H1 : θ > θ0? ... By first deriving the MLEs under each hypothesis, showthat the likelihood ratio and Pearson’s chi-squared tests are identical to those for theindependence test. -
ex4_2013.dvi
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2012-2013/ex4_2013.pdf6 Mar 2013: b) The statistic -3.1 can be used to test for a linear trend in year. ... Explain. (e) The null deviance was 140.42. Construct an appropriate statistic for test-ing a time trend. -
Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex3.pdf26 Feb 2013: SXX/(n1)}1/2. Determine the distribution of T under H0, and hence. determine the size α likelihood ratio test. ... size α likelihood ratio test of equality of means rejects H0 if. -
Analysis I — Examples Sheet 1 Lent Term 2013 ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2012-2013/Examples_sheet_1.pdf23 Jan 2013: Doesn. 1n log n log log n. converge? 10. Prove the root test, which says the following. ... the series diverges. What happens if a = 1? Add this test to your series grid. -
prelim13.dvi
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/prelim13.pdf10 Oct 2013: To test for linearity of α it is generally best to check α(λ.u µ.v) = λ.α(u) µ.α(v). -
Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex1.pdf24 Jan 2013: Comments and corrections to s.pitts@statslab.cam.ac.uk. 1. Ask your supervisor to test you on the sheet of common distributions handed out inlectures. -
Part IID RIEMANN SURFACES (2012–2013)Example Sheet 1…
https://www.dpmms.cam.ac.uk/study/II/Riemann/2012-2013/rs-2013-example1.pdf19 Jan 2013: Hint: Use the Weierstrass M-test fromAnalysis II to show that f is locally uniformly convergent.]. -
ex2_2013.dvi
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2012-2013/ex2_2013.pdf15 Feb 2013: How would you perform the hypothesis test?[Hint: from the first example sheet rank(P) = p, and rank(I P) = np.Similar arguments give that rank(P0) = p0. -
Over.dvi
https://www.dpmms.cam.ac.uk/~twk10/Over.pdf11 Jun 2013: In herprevious school she took part in the national mathematics con-tests obtaining a silver and a gold. ... test. Again this is rarelya problem but it is not a mere formality. -
How to prepare a talkMarj Batchelorsummer 2013 Wednesday, 14 ...
https://www.dpmms.cam.ac.uk/~mb139/How%20to%20prepare%20a%20talk.pdf15 Aug 2013: It should be a single sentence. • A theorem.• A hypothesis you wish to test.• Example: Simple representations of semi.
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