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  2. IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. XX, NO. Y, ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/sc.pdf
    5 Jun 2020: A test between these two hypotheses can bethought of as a decision region Cn An: If Xn1 Cn. ... The two probabilities of error associated with this test are. αn = Pn1 (Ccn) and βn = P.
  3. STATISTICAL MODELLING Part IIC. Example Sheet 4 (of 4) ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2011-2012/ex4.pdf
    9 Mar 2012: 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. Some Information-Theoretic Computations Related to the Distribution…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/primes.pdf
    5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434, Greece.Email: yiannis@aueb.gr.
  5. MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC1-20.pdf
    11 Jan 2023: Let N(p1,. ,pm)denote the minimum expected number of such tests needed to locate the infection.
  6. Mathematical Tripos: Part IB SMP/Lent 2014 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2013-2014/ex3.pdf
    28 Feb 2014: 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.
  7. Mathematical Tripos: Part IB SMP/Lent 2012 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2011-2012/ex3.pdf
    28 Feb 2012: determine the size α likelihood ratio test. 3. Suppose that X1,. , ... nI , show from first principles that the. size α likelihood ratio test of equality of means rejects H0 if.
  8. 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.
  9. 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).
  10. Michaelmas Term 2011 J. M. E. Hyland Linear Algebra: ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/prelim11.pdf
    6 Oct 2011: To test for linearity of α it is generally best to check α(λ.u µ.v) = λ.α(u) µ.α(v).
  11. STATISTICAL MODELLING Part IICExample Sheet 1 (of 4) RDS/Lent ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2013-2014/ex1_2014.pdf
    28 Jan 2014: 10. This question is about understanding what can happen to the F-test when the expectedvalue of the response is not necessarily linear in β. ... Suppose we try to test the hypothesis H0 : β1 = 0 against the alternative H1 : β1 6= 0 byrejecting the

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