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  2. Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex2.pdf
    18 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.
  3. ex4_2013.dvi

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2012-2013/ex4_2013.pdf
    6 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.
  4. Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex3.pdf
    26 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.
  5. Analysis I — Examples Sheet 1 Lent Term 2013 ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2012-2013/Examples_sheet_1.pdf
    23 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.
  6. prelim13.dvi

    https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/prelim13.pdf
    10 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).
  7. Mathematical Tripos: Part IB SMP/Lent 2013 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2012-2013/ex1.pdf
    24 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.
  8. Part IID RIEMANN SURFACES (2012–2013)Example Sheet 1…

    https://www.dpmms.cam.ac.uk/study/II/Riemann/2012-2013/rs-2013-example1.pdf
    19 Jan 2013: Hint: Use the Weierstrass M-test fromAnalysis II to show that f is locally uniformly convergent.].
  9. ex2_2013.dvi

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2012-2013/ex2_2013.pdf
    15 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.
  10. How to prepare a talkMarj Batchelorsummer 2013 Wednesday, 14 ...

    https://www.dpmms.cam.ac.uk/~mb139/How%20to%20prepare%20a%20talk.pdf
    15 Aug 2013: It should be a single sentence. • A theorem.• A hypothesis you wish to test.• Example: Simple representations of semi.
  11. The Forgotten Turing J. M. E. Hyland October 16, ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2016/turinglateversion.pdf
    7 Aug 2013: Butthere are two things we can test - their consistency, and their extensionalequality. ... They focus on input-output behaviour. In the Turing Test, If the re-sponse of a machine is indistinguishable from that of a person then we regardthem as equivalent
  12. INVARIANT THEORY FORTHE ELLIPTIC NORMAL QUINTIC, II. THE COVERING ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/invenqII.pdf
    11 Mar 2013: test ofTheorem 4.4.
  13. Part IID Riemann surfaces Dr Alexei Kovalev Notes Michaelmas ...

    https://www.dpmms.cam.ac.uk/~agk22/RS-notes.pdf
    25 Feb 2013: an entire function). This is done by application of the Weierstrass M-test to showthe local uniform convergence on C for the series for θ(z). ... As any compact set in C iscontained in the horizontal strip {| Im z| R} for some R > 0, Weierstrass M-test

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