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  2. Part IID RIEMANN SURFACES (2006–2007): Example Sheet 1…

    https://www.dpmms.cam.ac.uk/study/II/Riemann/2006-2007/rs1.pdf
    9 Oct 2006: Hint: Use the Weierstrass M-test from Analysis II to show that these series are locallyuniformly convergent.].
  3. Optimization Michael Tehranchi/DPKExample sheet 1 - Easter 2008 1. ...

    https://www.dpmms.cam.ac.uk/study/IB/Optimization/2007-2008/example1.pdf
    1 Nov 2008: Markowitz was awarded the Nobel Prize in Economics in 1990 in part forhis analysis of this problem.].
  4. ANALYSIS II EXAMPLES 1 Michaelmas 2004 J. M. E. ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2004-2005/an04-1.pdf
    21 May 2005: ANALYSIS II EXAMPLES 1 3. 15. (Dirichlet’s Test) Let fn and gn be real-valued functions on the interval [a,b]. ... 0fn(x)gn(x) is uniformly. convergent on [a,b]. 16. (i) (Abel’s Test) Let fn and gn be real-valued functions on [a,b].
  5. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=91
    17 Jul 2024: 2011). 191. (link to publication). Etanercept, infliximab and adalimumab for the treatment of psoriatic arthritis: A systematic review and economic evaluation.
  6. STATISTICS Part IB Example Sheet 2 (of 3) RJS/Lent ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2009-2010/Example2.pdf
    8 Feb 2010: 6. Write down the model and hypotheses for a test of homogeneity in a two-way contingencytable. ... Show that the likelihood ratio and Pearson’s chi-squared tests are identical to thosefor the independence test.
  7. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=89
    17 Jul 2024: Mathematics and Financial Economics. (2011). 5,. 47. (doi: 10.1007/s11579-011-0046-1). The decategorification of sutured Floer homology.
  8. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2021-2022/examples2-prob.pdf
    8 Oct 2021: From this limiting result: (i) derive a test for the hypothesis H0 : θ = θ0 vs. ... For all these models, derive explicit expressions for the likelihood ratio test statistic ofa simple hypothesis test of H0 : θ = θ0, θ0 Θ, vs.
  9. Mathematical Tripos: Part IB DJS/Lent 2015 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2014-2015/ex1.pdf
    22 Jan 2015: Comments and corrections to david@statslab.cam.ac.uk. 1. Ask your supervisor to test you on the sheet of common distributions handed out inlectures.
  10. Applied Multivariate Analysis, Notesoriginally for the course of Lent …

    https://www.dpmms.cam.ac.uk/~pmea/AppMultNotes.pdf
    23 Sep 2013: from which we could construct a Hotelling’s T2 statistic, of known distribu-tion, to test H0 : µ1 = µ2. ... So we see that the l.r. test of H0 against H1 is to reject H0 in favour of H1iff.
  11. ANALYSIS II (Michaelmas 2009): EXAMPLES 1 The questions are ...

    https://www.dpmms.cam.ac.uk/~agk22/anII-09-1.pdf
    14 Oct 2009: 15. (Abel’s test) Let an and bn be real-valued functions on E R.

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