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MunWebWei06JoS_final.dvi
www.statslab.cam.ac.uk/~rrw1/research/MunWebWei06JoS_final.pdf4 Apr 2007: In this paper, we provide the scheduling background, proofs and discussion of the resultsin our extended abstracts [24] and [23]. -
Modern Statistical MethodsRajen D. Shah r.shah@statslab.cam.ac.uk…
www.statslab.cam.ac.uk/~rds37/teaching/modern_stat_methods/notes2.pdf15 Jan 2023: Note that the objective in (1.24) may be re-written as. (µ̂, f̂) = arg min(µ,f)RH. ... P(W EW t) et2/(2σ2). 24. As well as Gaussian random variables, the sub-Gaussian class includes bounded randomvariables. -
Rates of contraction for posterior distributions in Lr-metrics, 1
www.statslab.cam.ac.uk/~nickl/Site/__files/AOS924.pdf6 Mar 2012: r. Lr. 2j n.(24). If r = , for p0 and bounded, there exists a constant L such that for all jsatisfying 2j j < n we have. ... PROOF. Since Bα = W2α in [24] and it also equals a constant times Rα in [32],this proposition simply combines Theorem 2.1 in -
10-grg.dvi
www.statslab.cam.ac.uk/~grg/books/hammfest/10-grg.pdf15 Aug 2012: F. (1986). Percolation. theory and some applications. Itogi Nauki i Techniki, Series of ProbabilityTheory, Mathematical Statistics, Theoretical Cybernetics, 24, 53–110. -
0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-01-intro-prob-4.pdf17 Jan 2017: barplot( dbinom(0:10, 10, 1/6), names.arg=0:10,. xlab="Number of sixes in 10 throws" ). Lecture 1. Introduction and probability review 24 (1–1). 1. Introduction and probability -
Convergence of the SAW on random quadrangulations to SLE8/3 on…
www.statslab.cam.ac.uk/~jpm205/slides/saw_convergence_paris_january_2017.pdf22 Jan 2017: Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 6 / 26. ... Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 7 / 26. -
Dynamic routing in open queueing networks: Brownian models, cut…
www.statslab.cam.ac.uk/~frank/PAPERS/bmccrp.pdf14 Aug 2014: However, H o u c k [24] has shown via simulation that it is close to being optimal in m a n y cases. -
potts2.dvi
www.statslab.cam.ac.uk/~grg/papers/USpotts2.pdf15 Aug 2012: POTTS MODELS AND RANDOM-CLUSTER. PROCESSES WITH MANY-BODY INTERACTIONS. Geoffrey GrimmettAbstra t. Known differential inequalities for certain ferromagnetic Potts models with pair-interactions may be extended to Potts models with many-body -
L.dvi
www.statslab.cam.ac.uk/~rrw1/oc/La5.pdf14 Jun 2007: OPTIMIZATION AND CONTROL. Richard Weber. Contents. DYNAMIC PROGRAMMING 1. 1 Dynamic Programming: The Optimality Equation 11.1 Control as optimization over time. 11.2 The principle of optimality. 11.3 Example: the shortest path problem. 11.4 The -
State space collapse and diffusion approximation for a network…
www.statslab.cam.ac.uk/~frank/PAPERS/AAP591.pdf30 Nov 2011: For this, we need the following definitions. For each n RI+, define w(n) = (wj (n) : j J), to be given bywj (n) =. iI. Aj ini. μi, j J.(24). We -
Stochastic Calculus Michael R. Tehranchi Contents Chapter 1. A ...
www.statslab.cam.ac.uk/~mike/StoCal/notes.pdf19 May 2015: 24. CHAPTER 3. Stochastic integration. 1. Overview. The goal of this chapter is to construct the stochastic integral. -
Schramm-Loewner Evolutions
www.statslab.cam.ac.uk/~jpm205/teaching/lent2019/sle_notes.pdf14 Mar 2019: Equivalently,. dZt = 2Z1/2t dB̃t d dt. 24 JASON MILLER. This it the “square Bessel SDE of dimension d” and we say that Z is a square Bessel process of. -
pgs2e-draft.dvi
www.statslab.cam.ac.uk/~grg/books/pgs2e-draft.pdf4 Jan 2018: By (1.23) and(1.24), |i(n)|= 1/Reff(n). The theorem is proved on noting that. ... rimm. ett. 24 Uniform Spanning Tree. 4. Iterate the above process, by running - . -
BriefingPukelsheimGrimmettFinalVersion-4
www.statslab.cam.ac.uk/~grg/papers/BriefingPukelsheimGrimmettFinalVersion-4.pdf10 Feb 2017: Netherlands 17 235 349 392 421 427.3 32 531 580 26 6 Belgium 11 289 853 282 962 419.7 24 455 719 21 3 Greece 10 793 526 273 ... 297 419.03 24 447 895 21 3 Czech Republic 10 445 783 266 466 418.6 23 442 225 21 2 Portugal 10 341 330 264 404 418.4 23 -
climate
www.statslab.cam.ac.uk/~frank/climate/climate_Sept2006.ppt4 Sep 2006: 1990. 335.87. 80.22. 1990. 5.6. 4.6. 39.9. 24.9. 5.3. 1991. 335.20. ... 81.54. 1991. 5.4. 4.8. 41.7. 24.5. 5.2. 1992. 338.00. 78.85. 4. -
Confidence bands in density estimation
www.statslab.cam.ac.uk/~nickl/Site/__files/AOS738.pdf19 Feb 2010: The Annals of Statistics2010, Vol. 38, No. 2, 1122–1170DOI: 10.1214/09-AOS738 Institute of Mathematical Statistics, 2010. CONFIDENCE BANDS IN DENSITY ESTIMATION. BY EVARIST GINÉ AND RICHARD NICKL. University of Connecticut and University of -
Random Planar Geometry
www.statslab.cam.ac.uk/~jpm205/teaching/lent2020/rpg_notes.pdf11 Mar 2020: 6. Planar maps 12. 7. Random planar maps 19. 8. Conformal mapping review 24. ... 24 JASON MILLER. (3) In general, one has the “same behavior” for planar maps chosen uniformly at random from. -
notes-reprint2012.dvi
www.statslab.cam.ac.uk/~grg/papers/notes-reprint2012.pdf15 Aug 2012: PERCOLATION AND. DISORDERED SYSTEMS. Geoffrey GRIMMETT. Percolation and Disordered Systems 143. PREFACE. This course aims to be a (nearly) self-contained account of part of the math-ematical theory of percolation and related topics. The first nine -
rcm1-1.dvi
www.statslab.cam.ac.uk/~grg/books/rcm1-1.pdf23 Jul 2012: 1.24) η(ω) = {e E : ω(e) = 1}. Clearly,ω1 ω2 if and only if η(ω1) η(ω2). -
PG5.dvi
www.statslab.cam.ac.uk/~rrw1/research/PG-Courcoubetis-Weber.pdf28 Jun 2006: Our problem P now becomes. maximizeπ1(),.,πn(),Q(). E[. iπi(θ)(. θiu(Q(θ)) c(Q(θ)))]. (24). ... βα (Bβ) α. βα (1/α 1/β) = xγ. Let us solve (24) while disregarding (25). -
Probab. Theory Relat. Fields (2008) 141:333–387DOI…
www.statslab.cam.ac.uk/~nickl/Site/__files/ptrf08.pdf11 Sep 2008: We recall thatτ = τ1 τ2, the coarsest topology finer than τ1 and τ2, is defined as follows (e.g.,[24, p. ... If (c) holds, by (24) and boundedness of p0, there is c′ < such that. -
A Note on Waiting Times in Single Server Queues
www.statslab.cam.ac.uk/~rrw1/publications/Weber%201983%20A%20note%20on%20waiting%20times%20in%20single%20server%20queues.pdf15 Sep 2011: respectively. Using computer simulation, we have estimated the mean waiting times to be 6.614, 6.531 and 6.445 when ju equals 1.24, 1.25 and 1.26, respectively. ... As ju increases from 1.24 to 1.25 to 1.26 the mean waiting time decreases by 0.0830 and -
Statistical modellingRajen D. Shah r.shah@statslab.cam.ac.uk Course…
www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/notes.pdf14 Feb 2019: Statistical modellingRajen D. Shah. r.shah@statslab.cam.ac.uk. Course webpage: http://www.statslab.cam.ac.uk/rds37/statistical_modelling.html. Introduction. This course is largely about analysing data composed of observations that come in the form -
bomber12.dvi
www.statslab.cam.ac.uk/~rrw1/publications/weber-bomber_paper_draft4.pdf21 Oct 2011: We find, incontradiction to (B),. y(32,3) = arg maxy[0,5.24]. [. c(y)F(31.4 y,2)]. = ... 14,14,14,14,14,14,15,15,15,16,17,18,19,20,21,22,23,24,25}. {k(n,3)}40n=1 = -
STOCHASTIC CALCULUS JASON MILLER Contents Preface 11. Introduction…
www.statslab.cam.ac.uk/~jpm205/teaching/lent2016/lecture_notes.pdf18 Mar 2016: 2θ2(ts). ), for all θ Rd. 24 JASON MILLER. Fix θ Rd and set Yt = (θ,Xt) =d. -
book.dvi
www.statslab.cam.ac.uk/~frank/STOCHNET/LNSN_corr/book.pdf14 May 2016: 2.1 An M/M/1 queue 22. 2.2 A series of M/M/1 queues 24. ... X(t), t t1)(. D (, t1)). 24 Queueing networks. In particular, when the queue is in equilibrium, the number of people that. -
Mathematical Foundations of Infinite-Dimensional Statistical Models
www.statslab.cam.ac.uk/~nickl/Site/__files/FULLPDF.pdf25 Feb 2020: Mathematical Foundations of Infinite-DimensionalStatistical Models. In nonparametric and high-dimensional statistical models, the classical Gauss–Fisher–Le Cam theory of the optimality of maximum likelihood and Bayesianposterior inference does -
0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-16-all-lectures-4.pdf11 Jan 2016: R code:. barplot( dbinom(0:10, 10, 1/6), names.arg=0:10,. xlab="Number of sixes in 10 throws" ). Lecture 1. Introduction and probability review 24 (1–1). 1. Introduction ... 1. 24. X(x. i. µ)2,. so the solution of the simultaneous equations is (µ̂, -
Random Surfaces and Quantum Loewner Evolution
www.statslab.cam.ac.uk/~jpm205/slides/rpm_lqg_qle_berkeley_2014.pdf26 Jan 2014: Random Surfaces and Quantum Loewner Evolution. Jason Miller and Scott Sheffield. Massachusetts Institute of Technology. January 23, 2014. Jason Miller and Scott Sheffield (MIT) Random Surfaces and QLE January 23, 2014 1 / 30. Overview. Part I: -
climb.dvi
www.statslab.cam.ac.uk/~grg/teaching/peres99probability.pdf14 Dec 2005: Id9i,/0K+,#ki& S/:#k&#|[.:_JiG. ])? _T :<; >acbedf ) 0 A ) :hg ;i306B: ) ALU<6 4 /24 , "S/21X+ ,/:bo! ... kà lÄ 9 " J " 9 G. I/:M"%! -/:K6"/2A?=;=;" /24&Yl"/2w%K"i<&i.:EJ¿! -
Liouville Quantum Gravity as a Mating of Trees
www.statslab.cam.ac.uk/~jpm205/slides/mating_of_trees_oxford_2014.pdf1 Oct 2014: Liouville Quantum Gravity as a Mating of Trees. Bertrand Duplantier, Jason Miller, and Scott Sheffield. CEA/Saclay and Massachusetts Institute of Technology. September 30, 2014. Duplantier, Miller, Sheffield Liouville Quantum Gravity as a Mating of -
Convergence of percolation on random quadrangulations
www.statslab.cam.ac.uk/~jpm205/slides/percolation_convergence_oxford_may_2017.pdf1 Jun 2017: Jason Miller (Cambridge) Convergence of percolation on random s May 22, 2017 24 / 28. -
88 Paper 4, Section I 5K Statistical ModellingConsider the ...
www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/Statistical%20modelling%20past%20exam%20questions.pdf23 Jan 2015: For each of the 24 combinations of deviceand experimenter, two size measurements were obtained. ... freq F = frequent, NF = infrequentloc NB = non-beach, B = beachage 15-19, 20-24, 24-29sex F = female, M = malecount the number of infections reported over -
THE THEORY OF OPTIMAL STOPPING RICHARD Re WEBER DOWNING ...
www.statslab.cam.ac.uk/~rrw1/publications/The%20theory%20of%20optimal%20stopping%20(Part%20III%20essay).pdf21 Oct 2011: 16. 17. 21. 24. 24. 27. 29. 34. 1. Chapter 1. ... t = min{ n : 1tne [0,] u ['ii, 1] }. 24. Chapter 4. The 0Ilt:lmal Stopptng of Random Sequences. Having characterized che solution to the optimal stopping. -
SEQUENTIAL OPEN-LOOP SCHEDULING STRATEGIES P. Nash, R.R. Weber…
www.statslab.cam.ac.uk/~rrw1/publications/Nash%20-%20Weber%201982%20Sequential%20open-loop%20scheduling%20strategies.pdf18 Sep 2011: Sci. 24, pp. 554-561. Gittins, J.C.: 1976, Bandit processes and dynamic allocation indices, J. -
The Move-to-Front Rule for Multiple Lists
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Weber%201990%20The%20move-to-front%20rule%20for%20multiple%20lists.pdf15 Sep 2011: Denote by x' the state which is obtained. 24 C. Courcoubetis and R. -
journal7.dvi
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Weber%202001%20Economic%20issues%20in%20shared%20infrastructures.pdf31 Oct 2011: In a problem addressed in [23] and [24]jobs must be allocated to machines which are strategic inrevealing their processing times for the jobs. ... j 6=i pj(θj). Mechanism 3:The allocating rule is as in Mechanism 1.As an application of (24)agent1 pays. -
1034 IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. ...
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Weber%202006%20%20Incentives%20for%20large%20peer-to-peer%20systems.pdf15 Sep 2011: 24, NO. 5, MAY 2006. Now, consider the solution of. For the uniform distribu-tion, , so our problem is. ... 24, NO. 5, MAY 2006. central authority, a “global planner,” who serves as an interme-diary for implementing these rules. -
The Rendezvous Problem on Discrete Locations
www.statslab.cam.ac.uk/~rrw1/publications/Anderson%20-%20Weber%201990%20The%20rendezvous%20problem%20on%20discrete%20locations.pdf15 Sep 2011: SIAM J. Control. Optim. 24, 66-75. ANANTHARAM, V. AND VARAIYA, P. -
On a conjecture about assigning jobs to processors of differing…
www.statslab.cam.ac.uk/~rrw1/publications/Weber%201993%20On%20a%20conjecture%20about%20assigning%20jobs%20to%20processors%20of%20different%20speeds.pdf15 Sep 2011: Contr. Optimiz., vol. 24, pp. 152-156, 1986. R. Datko, “Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks,” SIAM J. -
The Interchangeability of Tandem Queues with Heterogeneous Customers…
www.statslab.cam.ac.uk/~rrw1/publications/Weber%201992%20The%20interchangeability%20of%20tandem%20queues%20with%20heterogeneous%20customers%20and%20dependent%20service%20times.pdf15 Sep 2011: Adv. Appl. Prob. 24, 727-737 (1992) Printed in N. Ireland. @ Applied Probability Trust 1992. ... 24, No. 3 (Sep., 1992), pp. 509-759. Front Matter. On Some Exponential Functionals of Brownian Motion [pp. -
On the Performance of an E�ective Bandwidths FormulaCostas…
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Fouskas%20-Weber%201994%20On%20the%20performance%20of%20an%20effective%20bandwidths%20formula.pdf15 Sep 2011: Ei = mi i2B ; (2)2. where i = limn!1(1=n)E 24 nXk=1 Xk!235 : i is commonly called the index of dispersion. -
A Self-Organizing Bin Packing HeuristicJanos Csirik � David S. ...
www.statslab.cam.ac.uk/~rrw1/publications/Csirik%20-%20Johnson%20-%20Kenyon%20-%20Shor%20-%20Weber%201999%20A%20self-organizing%20bin%20packing%20heuristic.pdf15 Sep 2011: For now it is interesting. A Self Organizing Bin Packing Heuristic 5Alg n Samples j = 24 25 60 97 98 99SS 105 100 223 223 884 23,350 28,510 ... 118109 3 68,719 187,061 3,512,397BF 105 100 78 167 16,088 22,669 24,736 25,532106 32 76 831 154,460 59,015 -
p2pw6.dvi
www.statslab.cam.ac.uk/~rrw1/publications/Antoniadis%20-%20Courcoubetis%20-%20Weber%202004%20An%20Asymptotically%20Optimal%20Scheme%20for%20P2P%20File%20Sharing.pdf15 Nov 2011: Each of the peers whohas θ = 0.5 makes net benefit of 24.6390. ... Under this mechanism,the peers who have θ = 0.5 will now make a greater netbenefit of 24.6975. -
Concavity and Monotonicity Properties in aGroundwater Management…
www.statslab.cam.ac.uk/~rrw1/publications/Huh%20-%20Krishnamurhty-%20Weber%202011%20Concavity%20and%20Monotonicity%20Properties%20in%20a%20Groundwater%20Management%20Model.pdf25 Oct 2011: exploitation of groundwater. Journal of Environmental Economics and Management,. 24(2):139–158, 1993. -
An on-line Estimation Procedure forCell-Loss Probabilities in ATM…
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Fouskas%20-%20Weber%201995%20A%20on-line%20estimation%20procedure%20for%20cell-loss%20probabilities.pdf15 Sep 2011: A crude estimate of the variance of the logi estimator is given by2i = 1M 1 8><>: MXj=1(yi;j yi)2 1M 24 MXj=1(yi;j yi)3529>=>; -
LiuWeberZhao11CDC_revised.dvi
www.statslab.cam.ac.uk/~rrw1/publications/Liu%20-%20Weber%20-%20Zhao%202011%20Indexability%20and%20Whittle%20Index%20for%20restless%20bandit%20problems%20involving%20reset%20processes.pdf31 Oct 2011: 24). Theorem 3: When arms are stochastically identical, Whit-. tle index policy is asymptotically optimal in the follow sense:. ... 24, no. 2, pp. 293-305, May 1999. [10] R. R. Weber and G. -
3954
www.statslab.cam.ac.uk/~rrw1/publications/Coffman%20...%20Weber%202002%20Perfect%20packing%20theorems%20and%20the%20average%20case%20behavior%20of%20optimal%20and%20online%20bin%20packing.pdf15 Sep 2011: E[w(t]) (u2n1/2/8)[nu/8 nu/24] = u3n1/2/96. This implies. E. [1n. n. t=1. ... w(t). ] u3n1/2/192. On the other hand, ifn1s=0 P(υ(s) n1/2) nu/24, then. -
wiopt.dvi
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Weber%202004%20Asymptotics%20for%20provisioning%20problems%20of%20peering%20wireless%20LANS%20with%20a%20large%20number%20of%20participants.pdf15 Sep 2011: with respect to xij (θ), Qi(θ), subject to. Qi(θ) 0 , xij (θ) 0 , (24). ... function (23) is a concave function ofthe decision variables, and (24)–(26) define a region that is convex in the decision variables. -
Minimizing Expected Makespans on Uniform Processor Systems
www.statslab.cam.ac.uk/~rrw1/publications/Coffman%20Garey%20Flatto%20Weber%201987%20Minimizing%20expected%20makespan%20on%20uniform%20processor%20systems.pdf18 Sep 2011: 1 (3.24) Cl(a, k 1)= C(a 3, k - 1). 1+ Y2. ... 1 Y2 3. Comparison of (3.24) and (3.25) yields C2(a, k 1) < Cl(a,.
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