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  2. A study of simple charging schemes for broadband networks

    www.statslab.cam.ac.uk/~rrw1/abstracts/c00c.html
    20 Sep 2011: To achieve economic efficiency, it is necessary that usage-based charging schemes capture the relative amount of resources used by connections.
  3. ABR pricing experiments in a real network

    www.statslab.cam.ac.uk/~rrw1/abstracts/c97b.html
    20 Sep 2011: Considering aggregate user benefit, welfare economics suggests pricing schemes.
  4. Additional notes

    www.statslab.cam.ac.uk/~rrw1/opt1998/more.html
    25 Apr 1997: and social sciences (where the desire to optimize in business and economics is obvious).
  5. An intelligent agent for optimizing QoS-for-money in priced ABR…

    www.statslab.cam.ac.uk/~frank/PAPERS/iaabr.html
    25 Nov 2012: Our approach can be applied to more general cases of economic sharing of network resources, and offers new capabilities for resource management, while it is not specific to ABR.
  6. Acknowledgements

    www.statslab.cam.ac.uk/~frank/TALKS/RoySoc99/tsld002.htm
    15 Dec 1999: Microsoft Research: Paul Barham, Peter Key, Koenraad Laevens, Derek McAuley. Economics: Robin Mason.
  7. Stochastic Networks

    www.statslab.cam.ac.uk/~frank/pref.html
    25 Jul 2004: stochastic economic lot scheduling problem.
  8. John Hammersley

    www.statslab.cam.ac.uk/~grg/papers/ham1-ph.html
    14 May 2004: He spent some years commuting to Harwell before returning in 1959 as a Senior Research Officer in the Institute of Economics and Statistics.
  9. Abstract

    www.statslab.cam.ac.uk/~rrw1/abstracts/c95b.html
    20 Sep 2011: Thus, the switches constantly estimate their spare capacity. Simulations were performed using Markov fluid sources to test the validity of our approach.
  10. www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt

    www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt
    20 Jul 2010: Now if the returns were IID, the rows of the matrix P would all be the same, and a contingency table test shows that this is overwhelmingly rejected for most pairs
  11. Optimization IB1998

    www.statslab.cam.ac.uk/~rrw1/opt/index98.html
    31 Oct 2011: Read more about the amusingincluding an overview of optimization, case studies, test problems, and much, much more.
  12. visa06f-courcoubetis.dvi

    www.statslab.cam.ac.uk/~rrw1/research/visa09.pdf
    20 Jan 2011: Economic Issues in Shared Infrastructures. Costas Courcoubetis. Department of Computer ScienceAthens University of Economics and Business. ... General TermsAlgorithms, Design, Economics, Experimentation, Manage-ment, Performance. KeywordsAd-hoc grid,
  13. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence.pdf
    20 Feb 2017: Pearson’s Chi-squared tests. Example 9.1 continued using R:. chisq.test(n,p=ptilde). data: n. ... Goodness-of-fit of a fully-specified null distribution. Likelihood ratio tests. Pearson's Chi-squared tests.
  14. Dynamic Routing Report

    www.statslab.cam.ac.uk/~frank/DAR/dyroute.html
    21 Oct 1999: The secondary reason for fixed routing was that the telephone companies were reluctant to relinquish a large portion of network control to the network itself, because of the economic consequences if
  15. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence-4.pdf
    20 Feb 2017: Pearson’s Chi-squared tests. Pearson’s Chi-squared tests. Notice that (?) and (?) are of the same form. ... Pearson’s Chi-squared tests. Example 9.1 continued using R:. chisq.test(n,p=ptilde). data: n.
  16. Practical: Randomization inference

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S1.pdf
    3 Jun 2024: Why?• How can you "invert" the randomization tests to obtain an interval estimator of the treatment. ... On the other hand, the randomization test is based on the randomization introduced by theexperimenter.
  17. SISCER Module 12 Lecture 1: Randomization inference

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L1.pdf
    3 Jun 2024: It turns out that Fisher’s exact test is also valid for this problem. ... Example: Fisher's exact test. Example: Stepped-wedge design. Example: Matched observational studies.
  18. Practical: Randomization inference

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P1.pdf
    3 Jun 2024: Here are some points you mayconsider. • How do the two randomization tests compare with each other? ... Why?• How can you "invert" the randomization tests to obtain an interval estimator of the treatment.
  19. Confounder Adjustment in Multiple Hypothesis Testing

    www.statslab.cam.ac.uk/~qz280/publication/cate/slides.pdf
    3 Jun 2024: Model andInference. Model andIdentifiability. Estimation. Hypothesis Tests. NumericalExamples. Summary. 12/49. Association test. ... Estimation. Hypothesis Tests. NumericalExamples. Summary. 38/49. Significance test for confounding. Theorem (Wang, Z.,
  20. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=61
    15 Jul 2024: 2006). 180,. 45. (doi: 10.1145/1190095.1190152). Health economics and the search for shunt-responsive symptomatic hydrocephalus in the elderly.
  21. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 1 ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E1.pdf
    3 Jun 2024: Compare this with Fisher’s exact test in the randomization model discussedin lectures. ... i. This test should compare T with quantilesof the standard normal distribution after scaling.
  22. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=57
    15 Jul 2024: SM Pitts, K Politis. – Insurance: Mathematics and Economics. (2008). 42,.
  23. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=58
    15 Jul 2024: LCG Rogers. – Mathematics and Financial Economics. (2008). 2,. 1071. Differential equation approximations for markov chains.
  24. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=52
    15 Jul 2024: 28,. 3562. (doi: 10.1002/sim.3722). Economic issues in shared infrastructures. C Courcoubetis, RR Weber. –
  25. SISCER Module 12 Lecture 4: Matched Case-Control Studies

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L4.pdf
    3 Jun 2024: I Mantel–Haenszel test. I Logistic regression adjusting for treatment, stratum indicators (and potentiallyother covariates). ... multiple 22 tablesI Consider sensitivity analysis for Fisher’s exact test in one 22 table.
  26. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=3
    15 Jul 2024: J Am Stat Assoc. (2023). 119,. 1. (doi: 10.1080/01621459.2023.2199962). What is a Randomization Test? ... 2023). 118,. 2928. (doi: 10.1080/01621459.2023.2199814). Temporally Causal Discovery Tests for Discrete Time Series and Neural Spike Trains.
  27. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 1:…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1S.pdf
    3 Jun 2024: examinable) tells us is a valid approximationto the exact distribution of the test statistic under the null. ... the (approximate) p-value for thetwo-sided test statistic. This is known as a permutation or exact test, and you can read a briefdescription
  28. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=1
    15 Jul 2024: 2024). 405,. 74. (doi: 10.1007/s00220-024-04960-5). Temporally Causal Discovery Tests for Discrete Time Series and Neural Spike Trains.
  29. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 6: Binomial…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6S.pdf
    3 Jun 2024: This test cannot reject the simpler model without interactions between mumMyopic and dadMyopic. ... To test the hypothesis thatthe effects are equal, we can use the z-test for this coefficient.mumPlusdadMyopic <- (dadMyopic == "Yes") (mumMyopic ==
  30. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=102
    15 Jul 2024: Diffusions, Markov Processes, and Martingales, VOlume 2. LCG Rogers. Discussion of Adaptive confidence intervals for the test error in classification by Laber and Murphy.
  31. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 6: Binomial…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6.pdf
    3 Jun 2024: 2 609 439.60 8 40.478 2.61e-06. In contrast to the lm case, here we need to specify that we want to perform a likelihood ratio test (test= ... To formally test this hypothesis, we should createa variable. > mumPlusdadMyopic <- (dadMyopic == "Yes")
  32. SISCER Module 15 Practice 3: DID

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S4.pdf
    3 Jun 2024: Estimate Std. Error t value Pr(>|t|)## -0.036548937 0.012646474 -2.890049673 0.003893424# cluster-robust standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe,. ... 2. mod <- lm(form, data = df). # using arguments from here:#
  33. SISCER Module 12 Lecture 5: Instrumental variables

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L5.pdf
    3 Jun 2024: IV in Economics: Effect of military service on earnings (Angrist, 1990). ... American Economic Review, 80(3):313–336. Gamazon, E. R., , Wheeler, H. E., Shah, K.
  34. Clifford Paterson Slides

    www.statslab.cam.ac.uk/~frank/CP/CPREAD/SLIDES/HTML/cpslides.html
    22 Sep 1995: coordination of players (traditionally an economic issue, involving externalities and incentive compatability).
  35. Sensitivity analysis via stochastic programming

    www.statslab.cam.ac.uk/~qz280/talk/icsds-2023/slides.pdf
    3 Jun 2024: Blattman, Christopher and Jeannie Annan (2010). “The Consequences of ChildSoldiering”. In: The Review of Economics and Statistics 92.4, pp. ... In:American Economic Review 93, pp. 126–132. Saltelli, Andrea et al. (2004).
  36. Simultaneous Hypothesis Testing using Internal Negative Controls…

    www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf
    3 Jun 2024: Den. sity. Protein under investigation negative control. (a) P-values from a two-sample “t-test”. ... Enabled by validity PRDS. Global/intersection null: Simes’ test;. FWER: Hochberg-Hommel procedure (closure of Simes’ test);.
  37. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 5: ANOVA and …

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5.pdf
    3 Jun 2024: interaction.plot(Photo, Quality, fitted.values(EssayMarksLM2)). > interaction.plot(Quality, Photo, fitted.values(EssayMarksLM2)). To test for the presence of interactions, we again use an F-test:. > ... Would it be possible to com-pare the models
  38. Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf
    3 Jun 2024: 1993). “Transmission Test for Linkage Disequilibrium: The Insulin Gene Regionand Insulin-Dependent Diabetes Mellitus (IDDM).”. ... Fisher’s combination test 0.03 0.05 0.16. Two-stage least squares < 1020 4.5 1011.
  39. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 4: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P4.pdf
    3 Jun 2024: If the goal is to test the significanceof some coefficients, post model-selection inference is needed to control statistical errors. ... Note that we supplied the models in order of nestedness, and so the anova functionperforms F-tests between adjacent
  40. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=100
    15 Jul 2024: 56,. 225. (doi: 10.1007/BF01614210). A test for normality against symmetric alternatives.
  41. Practical: Matching/Weighting and Sensitivity Analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P4.pdf
    3 Jun 2024: standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe, vcov = "CR2", cluster = mpdta$countyreal)coeftest.twfe[2,]. ... CR2 small-sample correctioncoeftest.twfe.dynamic <- coef_test(fit.twfe.dynamic, vcov = "CR2", cluster =
  42. 47 A1/12 B1/15 Principles of Statistics (i) Explain in ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2002.pdf
    28 Apr 2023: Show that we may construct a different, randomised, size α test with the samepower function for θ > θ0. ... f(x; θ) = h(x)g(θ) exp{θt(x)} , x R. Explain in detail how you would test.
  43. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?cid=24198&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=56
    15 Jul 2024: AP Dawid. – TEST. (2008). 17,. 243. (doi: 10.1007/s11749-008-0118-6). How to interpret your dot: decoding the message of clinical performance indicators.
  44. 26 1/I/3H Statistics State the factorization criterion for sufficient …

    www.statslab.cam.ac.uk/~lab85/resources/Stats2002.pdf
    28 Apr 2023: What is the result of applying this test at the 0.01 level? [ ... tostrength tests, the number out of the six blocks failing the test being recorded in thefollowing table:.
  45. STATISTICS Part IBExample Sheet 2 (of 3) Lent 2022 ...

    www.statslab.cam.ac.uk/~lab85/resources/StatsL23b.pdf
    27 Apr 2023: By first deriving the MLEs under each hypothesis, show that the likelihood ratio andPearson’s chi-squared tests are identical to those for the independence test. ... Is the test uniformly most powerfulfor testing H0 : θ = θ0 against H1 : θ > θ0?
  46. 59 1/II/27I Principles of Statistics An angler starts fishing ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2008.pdf
    28 Apr 2023: What arethe size and power of the test in terms of α and β? ... Is φkadmissible as a test of H0 against Hθ for every θ (0, 1)?
  47. 44 Paper 1, Section I 7H StatisticsSuppose that X1, ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2019.pdf
    27 Apr 2023: test to test the hypothesis H1 : σ2 > σ̃2 against the hypothesis H0 : σ. ... 2 = σ̃2. Does the F-test depend on whether µ, µ̃ are known?
  48. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 2 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E2.pdf
    3 Jun 2024: Hint: Use (2). How canwe construct a hypothesis test based on η̃i to test whether the i. ... Then apply your hypothesis test to check whetherthe observation corresponding to humans is an outlier.
  49. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    www.statslab.cam.ac.uk/~lab85/resources/PoSM23b.pdf
    31 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.
  50. 53 1/II/27I Principles of Statistics State Wilks’ Theorem on ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2005.pdf
    28 Apr 2023: Explain why for large n thelikelihood-ratio test and the t-test are nearly the same. ... Howcould you use this to make a test of H0 against H1 : µ Θ1?
  51. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 1 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E1.pdf
    3 Jun 2024: 12. Prove that in the linear model Y = Xβ ε with ε | X Nn(0,σ2I), the F-test and t-test fortesting H0 : βp = 0 versus H1 : βp 6= 0 ... β̂2p{(XTX)1}ppσ̂2. =‖(H H0)Y‖21. np‖(I H)Y‖2. Verify the equivalence of the F- and t-tests in an

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