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  2. 30 Jun 2024: Between 2005 and 2021 he was with the Department of Informatics of the Athens University of Economics and Business. ... I Papageorgiou, I Kontoyiannis. (2023). (doi: 10.48550/arxiv.2308.00913). Temporally Causal Discovery Tests for Discrete Time Series
  3. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=46
    30 Jun 2024: 2018). 81,. 214. (doi: 10.1007/s13171-018-0143-9). Combining different models. LCG Rogers. – Mathematics and Financial Economics. ... RA Lockhart, RJ Samworth. – Test. (2017). 26,. 734. (doi: 10.1007/s11749-017-0555-1).
  4. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=100
    30 Jun 2024: Evaluating medical expert systems: What to test and how? J Wyatt, D Spiegelhalter. – ... Evaluating medical expert systems: what to test and how? J Wyatt, D Spiegelhalter. –
  5. 17 May 2024: ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS (Greece) 2004 – 2010Associate Professor, Department of Informatics. ... ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS Sept. 2004 – Feb. 2005Visiting Associate Professor, Department of Informatics.
  6. 3 Oct 2023: and Loh, P. 2020. Permutation tests for infection graphs. Journal of the AmericanStatistical Association 1–13. ... Influence maximization in stochastic and adversarial settings. London School of Economics statisticsdepartment, UK, 2018.
  7. An Unofficial Guide To Part III Although the production ...

    https://www.dpmms.cam.ac.uk/~twk10/PartIII.pdf
    5 Oct 2019: Anybody consideringstudy in the United States should take the GRE (Graduate Record Examina-tions) general test and the GRE mathematics subject test18. ... We strongly suggest that youbegin booking tests as soon as possible (ie now ) and that you have
  8. Simulated Convergence Rates with Application to anIntractable…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/CAMSAP.pdf
    5 Jun 2020: Email:tohid.ardeshiri@liu.se‡Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434, Greece. ... We apply numerical integration to Berry theoremsand Parseval theorems for a wide range of parameter settings,in
  9. SUP.dvi

    https://www.dpmms.cam.ac.uk/~twk10/SUP.pdf
    18 Oct 2016: 3See paragraph 12 of the BOGS memorandum to Graduate Students4Directors of Studies in subjects like Natural Sciences and Economics may also be on. ... You can help their development bytaking time off from marking questions and using it to discuss
  10. Shan.dvi

    https://www.dpmms.cam.ac.uk/~twk10/Shan.pdf
    20 Dec 2018: Coding and Cryptography. T. W. Körner. December 20, 2018. Transmitting messages is an important practical problem. Coding theoryincludes the study of compression codes which enable us to send messagescheaply and error correcting codes which ensure
  11. ent-est.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/ent-est.pdf
    5 Jun 2020: Knight Equity Markets, L.P., Jersey City, NJ 07310, USA. YGao@knight.com†Department of Informatics, Athens University of Economics and Business, Athens 10434, Greece. ... H(Y ) = limi. λH(Yi | Yi1,. , Y2, Y1). Therefore, the renewal entropy estimator
  12. Estimating the Entropy of Binary Time Series: Methodology, Some…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/ent-estJ.pdf
    5 Jun 2020: and Elie Bienenstock 3. 1 Knight Equity Markets, L.P., Jersey City, NJ 07310, USA2 Department of Informatics, Athens University of Economics and Business, Athens 10434, Greece3 Division of Applied Mathematics ... H(Y ) = limi. λH(Yi | Yi1,. , Y2, Y1).
  13. all.dvi

    https://www.dpmms.cam.ac.uk/study/II/FinancialModels/2012-2013/all.pdf
    29 Apr 2014: and on the other, the variances andcovariances of asset returns, which could all be estimated very easily from market data7, therebyproviding a test of the CAPM analysis. ... 1.4 Equilibrium pricing. We cannot pass by this place without pausing to see
  14. Results that match 1 of 2 words

  15. 30 Jun 2024: Publications. Sense, nonsense and the S&P500. LCG Rogers. – Decisions in Economics and Finance. ... LCG Rogers. – Mathematics and Financial Economics. (2018). 12,. 97. (doi: 10.1007/s11579-017-0198-8).
  16. 30 Jun 2024: E Frostig, SM Pitts, K Politis. – Insurance: Mathematics and Economics. ... SM Pitts, K Politis. – Insurance: Mathematics and Economics. (2008). 42,.
  17. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=87
    30 Jun 2024: 2011). 84,. 031709. (doi:Probabilistic sensitivity analysis in health economics. G Baio, AP Dawid. – ... J. Approx. Theory. (2011). 163,. 1049. (doi: 10.1016/j.jat.2011.02.013). Economic Issues in Shared Infrastructures.
  18. 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.
  19. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=76
    30 Jun 2024: 2990. (doi: 10.1214/11-AOP729). Modelling trigonometric seasonal components for monthly economic time series. ... I Hindrayanto, JAD Aston, SJ Koopman, M Ooms. – Applied Economics.
  20. ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2022 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_1_22.pdf
    22 Jan 2022: Show also that. n=1(1)n1andiverges. [This shows that, in the alternating series test, it is essential that the moduliof the terms decrease as n increases.]. ... sequence. Prove that. j=1 ajbj converges. Deduce the alternating series test. Does the series.
  21. ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2010 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2009-2010/aI1.pdf
    18 Jan 2010: bndivergent. 9. (Abel’s test.) Let an and bn be two sequences and let Sn =n. ... Deduce the alternating series test. Does the series. n=1cos(n)n. converge or diverge?
  22. Chapter 2 Distributions The theory of distributions (sometimes called …

    https://www.dpmms.cam.ac.uk/~cmw50/resources/M3P18/M3P18Ch2.pdf
    15 Oct 2021: Consider the sequence of distributions. uM =. Mm=M. D|m|δm. Let φ D () be any test function. ... u1φ = (u1? φ̃)(0) = (u2? φ̃)(0) = u2φ. for any test function φ, thus u1 = u2.
  23. neuro.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/neuro.pdf
    5 Jun 2020: of the spike count in the data (as quantified by the Fano factor).This conclusion is rigorously justified with a t-test with a p-value of 5 104. ... Fanofactors and the percentage drop is zero, and the test statisticis t = r.
  24. ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2021 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2020-2021/aI_1_21.pdf
    6 Feb 2021: Show also that. n=1(1)n1andiverges. [This shows that, in the alternating series test, it is essential that the moduliof the terms decrease as n increases.]. ... sequence. Prove that. j=1 ajbj converges. Deduce the alternating series test. Does the series.
  25. Mathematical Tripos: Part IB DJS/Lent 2015 Statistics: Example Sheet…

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2014-2015/ex3.pdf
    23 Feb 2015: 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.
  26. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2023-2024/examples2-prob.pdf
    2 Oct 2023: 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.
  27. ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2011 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2010-2011/aI-1.pdf
    21 Jan 2011: bndivergent. 9. (Abel’s test.) Let an and bn be two sequences and let Sn =n. ... Deduce the alternating series test. Does the series. n=1cos(n). n converge or diverge?
  28. ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2012 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2011-2012/aI_1.pdf
    24 Jan 2012: bndivergent. 9. (Abel’s test.) Let an and bn be two sequences and let Sn =n. ... Deduce the alternating series test. Does the series. n=1cos(n). nconverge or diverge?
  29. Part IID RIEMANN SURFACES (2007–2008): Example Sheet 1…

    https://www.dpmms.cam.ac.uk/~agk22/rs1.pdf
    8 Oct 2007: Hint: Use the Weierstrass M-test from Analysis II to show that these series are locallyuniformly convergent.].
  30. STATISTICAL MODELLING Part IIC / Michaelmas 2019Example Sheet 1 ...

    https://www.dpmms.cam.ac.uk/files/study/II/StatisticalModelling/2019-2020/Qu1.pdf
    11 Oct 2019: 10. This question is about understanding what can happen to the F-test when the expected value ofthe response is not necessarily linear in β. ... e) Let Z σ2χ2np. Show thatZ ‖(I P)Y‖2. Conclude that the size of the test mentioned at the beginning
  31. Chapter 1 Uniform continuity and convergence So far, we ...

    https://www.dpmms.cam.ac.uk/~cmw50/resources/M2PM1/M2PM1Ch1.pdf
    15 Oct 2021: i=0. |ai|. converges. You may have studied various criteria for a series to converge (ratio test, roottest, comparison test. ).
  32. STATISTICAL MODELLING Part IICExample Sheet 1 (of 4) RDS/Lent ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2014-2015/ex1_2015.pdf
    23 Jan 2015: 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
  33. ANALYSIS I EXAMPLES 1 C. M. Warnick Lent 2023 ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2022-2023/Analysis%20Sheet%201.pdf
    23 Jan 2023: Show also that. n=1(1)n1andiverges. [This shows that, in the alternating series test, it is essential that the moduliof the terms decrease as n increases.]. ... sequence. Prove that. j=1 ajbj converges. Deduce the alternating series test. Does the series.
  34. STATISTICAL MODELLING Part IICExample Sheet 2 (of 4) RDS/Lent ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2014-2015/ex2_2015.pdf
    11 Feb 2015: Then apply your hypothesis test to check whetherthe observation corresponding to humans is an outlier. ... What is theissue with using your test to now determine whether this college is an outlier?
  35. journal_final.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/dna2.pdf
    5 Jun 2020: Scenario (II): Dependence. In this case the asymptotic behavior of the test statisticI(n) is somewhat different. ... 3 Experimental Results. In this section we apply the mutual information test described above to biological data.
  36. ANALYSIS II EXAMPLES 1 Michaelmas 2005 J. M. E. ...

    https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/an05-1.pdf
    19 Mar 2008: 15. (Dirichlet’s Test) Let an and bn be real-valued functions on E R. ... 17. (i) (Abel’s Test) Let an and an be real-valued functions on E R.
  37. Information and Complexity in Statistical Modeling. By Jorma…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/AMMreview.pdf
    5 Jun 2020: Athens University of Economics and Business, Athens, Greeceyiannis@aueb.gr. 6.
  38. STATISTICS Part IBExample Sheet 1 (of 3) Lent 2022 ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2021-2022/Qu1.pdf
    13 Jan 2022: STATISTICS Part IBExample Sheet 1 (of 3) Lent 2022. 1. Ask your supervisor to test you on the sheet of common distributions on the course website.
  39. reviews.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/AMMreviewJ.pdf
    5 Jun 2020: Athens University of Economics and Business, Athens, Greeceyiannis@aueb.gr. 960 c THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 115.
  40. 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.
  41. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2022-2023/examples2-prob.pdf
    15 Oct 2022: 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.
  42. 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.
  43. 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.
  44. 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.
  45. Testing Equivalence of Ternary Cubics Tom Fisher University of ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/testeqtc.pdf
    12 Apr 2006: Given U1, U2 test whether [U1] = [U2]. If so nd the change of co-ordinates. ... that relates them.3. Given U1, U2, U3 test whether [U1] [U2] = [U3].4.
  46. 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.
  47. 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.
  48. THE IMPORTANCE OF MATHEMATICS W. T. Gowers It is ...

    https://www.dpmms.cam.ac.uk/~wtg10/importance.pdf
    12 Sep 2002: breakthroughs of enormous economic benefit, either directly, as in the case of public-key. ... the last 100 years, and then work out what the world has gained, in crude economic.
  49. 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.
  50. 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).
  51. 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).
  52. Analysis of Functions Dr. Claude Warnick May 1, 2021 ...

    https://www.dpmms.cam.ac.uk/~cmw50/AoF.pdf
    6 Aug 2021: 372.2.4 Compactness, Banach–Alaoglu. 40. 2.3 Hahn–Banach. 432.3.1 Zorn’s Lemma. 45. 3 Test functions and distributions 493.1 The space D (). 493.2 The ... 141. A.2 Locally convex spaces. 148A.2.1 Semi-norms. 148. A.3 The test function spaces.

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