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  2. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules1920.pdf
    2 May 2023: Comparison and ratio tests, alternating series test. [6]. ContinuityContinuity of real- and complex-valued functions defined on subsets of R and C.
  3. 41 Paper 1, Section I 7H StatisticsSuppose that X1, ...

    https://www.statslab.cam.ac.uk/~lab85/resources/Stats2015.pdf
    28 Apr 2023: For 0 < α < 1, derive the test that is most powerful among all tests of size atmost α. ... x6. Explain how to obtain anapproximate size 0.05 test using the value of T.
  4. 83 Paper 1, Section II29J Principles of Statistics Let ...

    https://www.statslab.cam.ac.uk/~lab85/resources/PoS2021.pdf
    28 Apr 2023: b) Suppose you do not have access to the quantiles of the sampling distribution ofthe Kolmogorov–Smirnov test statistic. ... Describe a test of H0 : F = F0 with size exactly 1/(m 1).
  5. 35 1/I/7H Statistics A Bayesian statistician observes a random ...

    https://www.statslab.cam.ac.uk/~lab85/resources/Stats2008.pdf
    28 Apr 2023: ii) Find the form of the size-α likelihood–ratio test of the hypothesis. ... The t-test of the null hypothesis that α = 0 against an unrestricted alternativedoes not reject the null hypothesis.
  6. 45 Paper 1, Section I 6H StatisticsLet X1, . ...

    https://www.statslab.cam.ac.uk/~lab85/resources/Stats2021.pdf
    27 Apr 2023: Conduct a 5% significance level test of the null hypothesis that the medicine andplacebo have the same effect, against the alternative that their effects differ. ... Find a uniformly most powerful test of size α of H0 : θ = 0 againstH1 : θ > 0.
  7. 42 Paper 1, Section I 7H StatisticsConsider an estimator ...

    https://www.statslab.cam.ac.uk/~lab85/resources/Stats2014.pdf
    28 Apr 2023: You do not need to derive the test.] What conclusion shouldbe reported to the doctor? ... What is the size of this test? Write down an expression forits power.
  8. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2122.pdf
    2 May 2023: Comparison and ratio tests, alternating series test. [6]. ContinuityContinuity of real- and complex-valued functions defined on subsets of R and C.
  9. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2223.pdf
    27 Apr 2023: Comparison and ratio tests, alternating series test. [6]. ContinuityContinuity of real- and complex-valued functions defined on subsets of R and C.
  10. Modern Statistical MethodsRajen D. Shah r.shah@statslab.cam.ac.uk…

    https://www.statslab.cam.ac.uk/~rds37/teaching/modern_stat_methods/notes2.pdf
    15 Jan 2023: Inthe final chapter we will tackle the problem of how to handle performing thousands ofhypothesis tests at the same time and more generally the task of quantifying uncertaintyin high-dimensional settings.
  11. DOI 10.4171/JEMS/975 J. Eur. Math. Soc. (Online First) c� ...

    https://www.statslab.cam.ac.uk/~nickl/Site/__files/JEMS975.pdf
    22 May 2023: To start with a simple example, suppose 2 Cc (O), > 2 3d/2, is a fixed ‘test’function ( 6= 0 to avoid triviality) and our target of statistical inference is the
  12. A Novel Approach to Spatially Indexed Functional Data AnalysisLuke ...

    https://www.statslab.cam.ac.uk/~lab85/resources/RSS%20Poster%20-%20LA%20Barratt%20and%20JAD%20Aston.pdf
    31 Aug 2023: The spatial observation of functional data is also common in manyother fields, including meteorology, economics, neuroscience and ecology.

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