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Grants/Awards
https://www.dpmms.cam.ac.uk/~ik355/grants.html29 Jan 2024: Total amount awarded: Euro 1,800,000. AUEB Grants. Athens. University. of Economics & Business "Basic Research" (PEVE) grant. -
ANALYSIS I EXAMPLES 1 C. M. Warnick Lent 2024 ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2023-2024/Analysis%20Sheet%201.pdf24 Jan 2024: 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. -
Recent papers and preprints
https://www.dpmms.cam.ac.uk/~ik355/pubs.html17 May 2024: arXiv]. A. Theocharous, G.G. Gregoriou, P. Sapountzis, and I. Kontoyiannis. "Temporally causal discovery tests for discrete time series and neural spike trains." IEEE Transactions on Signal Processing, 72, pp. ... Berrett, I. Kontoyiannis and R.J. -
PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...
https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2023-2024/examples2-prob.pdf2 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. -
Riemann SurfacesExample Sheet 1 Michaelmas 2023 Please send any ...
https://www.dpmms.cam.ac.uk/study/II/Riemann/2023-2024/RS1M23.pdf12 Oct 2023: Recall uniform convergence, the M-test etc?]. 3. Show that the power series f(z)=n>1 1n(n1) zn defines an analytic function onthe unit disc D and give a -
MATHEMATICAL TRIPOS PART II (2023–2024)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2023-2024/CC1-20.pdf25 Jan 2024: Let N(p1,. ,pm)denote the minimum expected number of such tests needed to locate the infection. -
Ioannis KontoyiannisChurchill Professor of Mathematics of Information …
https://www.dpmms.cam.ac.uk/~ik355/web-list.pdf17 May 2024: Samworth. “Optimal rates for independence testing viaU-statistic permutation tests.” Annals of Statistics, 49, no. ... C54. “Causality and directed information estimation as a hypothesis test,” with M.
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