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  2. STATISTICAL MODELLING Part IICPractical 3: Linear regression using R…

    https://www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/Practical3.pdf
    6 Feb 2015: Omitting the last observation pushes the estimatesfor the coefficients almost to the edge of their 23% confidence ellipsoid—not necessarily a big cause forconcern.Now create a new response y2 as ... predict.lm) can be used to give xT β̂ for a new
  3. STATISTICAL MODELLING Part IICPractical 4: More on linear regression…

    https://www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/Practical4.pdf
    11 Feb 2015: Fit a new linear model omittingthis observation (and also omitting the Screens variable.
  4. Sparsity

    https://www.statslab.cam.ac.uk/~rds37/papers/MATTER_talk_Rajen.pdf
    18 May 2015: Sparse models can be easier to interpret. In order to predict the response for a new observation, we only needmeasurements of a few covariates. ... In order to predict the response for a new observation, we only needmeasurements of a few covariates.
  5. COUNTING SELF-AVOIDING WALKS GEOFFREY R. GRIMMETT AND ZHONGYANG LI ...

    https://www.statslab.cam.ac.uk/~grg/papers/rev-final2.pdf
    20 Mar 2015: 4.3. Quasi-transitive augmentations. We consider next the sys-tematic addition of new edges, and the effect thereof on the connectiveconstant. ... This example may be extendedto augmentions by other periodic families of new edges, as explained in[19,
  6. Stability of End-to-End Algorithms for Joint Routing andRate Control…

    https://www.statslab.cam.ac.uk/~frank/PAPERS/kv.pdf
    8 Jun 2015: Gallager. Data Networks, 2ndedition. Prentice-Hall, New Jersey, 1992. [3] M. Chiang.
  7. Search GamesSymmetric Rendezvous Search Richard Weber Queens’…

    https://www.statslab.cam.ac.uk/~rrw1/talks/queensmaths.pdf
    18 Feb 2015: X. . A new search game on 6 locations. When a player makes a tour in AW he chooses it at random.Might something else be better? ... Consider a new game, in which at each new step (of 3 old steps)each player makes a tour of his
  8. Intersection and mixing times for reversible chains Yuval Peres∗ ...

    https://www.statslab.cam.ac.uk/~ps422/intersection-mixing.pdf
    7 Jan 2015: Math. Appl., pages 213–225. Springer,New York, 1996. 17. Introduction. Intersection time for reversible Markov chains.
  9. 35 Paper 1, Section I 8H Optimization(a) Consider a ...

    https://www.statslab.cam.ac.uk/~rrw1/opt/OptimizationTriposQuestions.pdf
    17 Sep 2015: Find a suitable new network for the situation after the storm.Apply the Ford–Fulkerson algorithm to the new network, starting with the zero flow andexplaining each step, to determine the ... 2 x1 3 x2 5 x3. Find the solution of this new problem.
  10. AN EQUILIBRIUM MODEL OF MARKET EFFICIENCY WITHBAYESIAN LEARNING:…

    https://www.statslab.cam.ac.uk/~mike/papers/learning-submitted.pdf
    18 Feb 2015: Indeed, Fama [10, p. 39] states that “on the average the fulleffects of new information on intrinsic values will be reflected nearly instantaneously in actual. ... to incorporate new information into equilibrium prices in a timelymanner.
  11. Random walks colliding before getting trapped Louigi Addario-Berry∗…

    https://www.statslab.cam.ac.uk/~ps422/collisions-meeting_June3.pdf
    9 Sep 2015: P(Mgood Mbad. ) c > 0. for all P , and for λX,λY and λZ as in Conjecture 1.5, would be a new result. ... Somewhat oddly, it seems that Lemma 3.5 is new, or at least was notwidely known before.
  12. SIAM J. DISCRETE MATH. c© 2014 Society for Industrial ...

    https://www.statslab.cam.ac.uk/~grg/papers/siamjm.pdf
    13 Mar 2015: πωt). Starting from παt, the new walk winds once around the cycle := (πjt); having. ... vertex πωt. This new subwalk is inserted into π at the appropriate place.
  13. 41 Paper 1, Section I 7H StatisticsSuppose that X1, ...

    https://www.statslab.cam.ac.uk/~rrw1/stats/StatisticsTriposQuestions.pdf
    17 Sep 2015: Paper 2, Section I. 8H StatisticsThere are 100 patients taking part in a trial of a new surgical procedure for a. ... New procedure 31 19. The doctor is interested in whether there is a difference in full recovery rates for patientsreceiving the two
  14. 21 Paper 4, Section I 9H Markov ChainsLet X0, ...

    https://www.statslab.cam.ac.uk/~rrw1/markov/MarkovChainTriposQuestions.pdf
    17 Sep 2015: with probability α a new ball is added to a randomly chosen urn,. ... Define a new transition matrix P̃ by. P̃ij ={. 0 if i = j,(1 Pii)1Pij if i 6= j.
  15. 19 Paper 2, Section I 3F ProbabilityLet U be ...

    https://www.statslab.cam.ac.uk/~rrw1/prob/ProbabilityTriposQuestions.pdf
    17 Sep 2015: a) Find the distribution of the random variable (log U)/λ.(b) Define a new random variable X as follows: suppose a fair coin is tossed, and if it. ... Deduce that R and Θ are independent. Introduce the new random variables.
  16. Stochastic Calculus Michael R. Tehranchi Contents Chapter 1. A ...

    https://www.statslab.cam.ac.uk/~mike/StoCal/notes.pdf
    19 May 2015: In particular, we need to define some new vocab-ulary, including what is meant by a local martingale. ... so 〈X〉(n) is finite almost surely.Now, define a new process M(n) by.
  17. 88 Paper 4, Section I 5K Statistical ModellingConsider the ...

    https://www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/Statistical%20modelling%20past%20exam%20questions.pdf
    23 Jan 2015: Show thatβ̂ is unbiased whereas σ̂2 is biased. Suppose that a new variable Y is to be observed, satisfying the relationship. ... How could you fityour new model in R? Part II, 2013 List of Questions.

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