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1 - 10 of 60 search results for tj KaKaotalk:PC53 |u:www.maths.cam.ac.uk where 0 match all words and 60 match some words.

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  2. MATHEMATICAL TRIPOS Part II Tuesday, 07 June, 2022 1:30pm ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2022/paperii_2_2022.pdf
    3 Aug 2022: k=0. (n. j. )(n. k. )f(j/n,k/n)tj(1 t)njsk(1s)nk f(t,s). uniformly on [0,1]2 as n.

  3. MATHEMATICAL TRIPOS Part II 2022 List of Courses Algebraic ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2022/list_ii.pdf
    22 May 2023: MATHEMATICAL TRIPOS Part II 2022. List of Courses. Algebraic Geometry. Algebraic Topology. Analysis of Functions. Applications of Quantum Mechanics. Applied Probability. Asymptotic Methods. Automata and Formal Languages. Classical Dynamics. Coding

  4. MATHEMATICAL TRIPOS Part II Wednesday, 4 June, 2014 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2014/PaperII_3.pdf
    17 Jun 2019: Show that if g(s, x) is a real-valued function of realvariables s, x, and Tj are the jump times of (Nt, t > 0) then. ... E[exp. {θ. Nt. j=1. g(Tj, Xj). }]= exp. {λ. t. 0(E(eθg(s,X)) 1)ds. },.

  5. MATHEMATICAL TRIPOS Part II 2014 List of Courses Algebraic ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2014/List_II.pdf
    17 Jun 2019: Show that if g(s, x) is a real-valued function of realvariables s, x, and Tj are the jump times of (Nt, t > 0) then. ... E[exp. {θ. Nt. j=1. g(Tj, Xj). }]= exp. {λ. t. 0(E(eθg(s,X)) 1)ds. },.

  6. MATHEMATICAL TRIPOS Part IB Wednesday, 6 June, 2012 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/PaperIB_2.pdf
    17 Jun 2019: Let Ti = inf{n > 1 : Xn = i}. For each i 6= j letqij = P(Tj < Ti | X0 = i) and mij = E(Tj | X0 = i).

  7. MATHEMATICAL TRIPOS Part IB Tuesday, 5 June, 2012 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/PaperIB_1.pdf
    17 Jun 2019: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise.

  8. 20H Markov ChainsA Markov chain (Xn)n>0 has as its ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/Paper1_20_corrected.pdf
    17 Jun 2019: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise.

  9. MATHEMATICAL TRIPOS Part IB 2012 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/List_IB.pdf
    17 Jun 2019: 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).

  10. MATHEMATICAL TRIPOS Part IA Friday, 3 June, 2011 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperIA_2.pdf
    17 Jun 2019: Find the probability-generating functions of the random variables Hj and Tj.

  11. MATHEMATICAL TRIPOS Part IA 2011 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/List_IA.pdf
    17 Jun 2019: Find the probability-generating functions of the random variables Hj and Tj.

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