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  2. The Randomization Principle in Causal Inference: A Modern Look ...

    www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/slides.pdf
    3 Jun 2024: Consider any function g : Z [M] anda collection of test statistics: Tj : Z W R, j [M].The p-value of the CRT is given by.
  3. CORRECTIONS for ‘Mathematical foundations of infinite-dimensional…

    www.statslab.cam.ac.uk/~nickl/Site/__files/CORRECTIONS.pdf
    19 Dec 2020: p.53, line after (2.55), replace second ‘|λi|’ by ‘|µi|’.p.57, line -8 to -2: it should read i) ‘d(ti, tj) ε’ (missing comma), then ii) ‘= ε2/2 ... d2X(ti, tj)’.
  4. 14 Mar 2012: 9. Define inductively. Tj1 = inf{m Tj 1 : i = 2,. ... E.  κj=1. 1(x1 ξ1(Tj) U1Tj ). . By the independence of the motions of the nodes 1,.
  5. 22 May 2013: Pj(Tj < ) Pj(Hi < )Pi(Hj < ) = 1. 5.5 Relation with closed classes. ... P(X0 = i)Pi(Tj < ). so it suffices to show that Pi(Tj < ) = 1 for all i I.
  6. 8-rjg.dvi

    www.statslab.cam.ac.uk/~frank/PAPERS/ghk.pdf
    31 Mar 2010: Then xK is a Markovprocess with transition rates. xK Tj,j1xK at rate νxKj K,j = 0, 1,. ... C 1. xK Tj,j1xK at rate jxKj K,j = 1, 2,.
  7. 8 8 1/2 1/2 1/2 1/2 1 1/2 1/4 ...

    www.statslab.cam.ac.uk/~rrw1/markov/slides.pdf
    14 Nov 2011: 25. . Theorem 5.8. Suppose P is irreducible and recurrent.Then for all j I we have P(Tj < ) = 1.
  8. sieve.dvi

    www.statslab.cam.ac.uk/~grg/papers/USsieve.pdf
    15 Aug 2012: Secondly, in (2.13) on page6, we assume further that tj < 12sj. ... The nal display on that page becomes1njI f1; 2; : : :;ngj 1n Xj: jRsj2n 1 nsj tj 3 XjR tjsj 3:AcknowledgementsThe author is grateful to Maury Bramson for taking an interest
  9. A Novel Approach to Spatially Indexed Functional Data AnalysisLuke ...

    www.statslab.cam.ac.uk/~lab85/resources/RSS%20Poster%20-%20LA%20Barratt%20and%20JAD%20Aston.pdf
    31 Aug 2023: and temporal locations (tj)mj=1. From these data we estimate the hi thus:.
  10. 21 Paper 4, Section I 9H Markov ChainsLet X0, ...

    www.statslab.cam.ac.uk/~rrw1/markov/MarkovChainTriposQuestions.pdf
    17 Sep 2015: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise. ... Let Ti = inf{n > 1 : Xn = i}. For each i 6= j letqij = P(Tj < Ti | X0 = i) and mij = E(Tj | X0 = i).
  11. Intersection and mixing times for reversible chains Yuval Peres∗ ...

    www.statslab.cam.ac.uk/~ps422/intersection-mixing.pdf
    7 Jan 2015: i=0. tj=0 1(Xi = Yj). count the number of intersections up to time t. ... Qt =ti=0. tj=0. pij(x,x). Using the spectral theorem together with transitivity, we obtain.

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