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Optimization and Control
https://www.statslab.cam.ac.uk/~rrw1/oc/index.html14 Jan 2016: Ther are applications of this course in science, economics and engineering (e.g., "insects as optimizers", "planning for retirement", "finding a parking space", "optimal gambling" and "steering a space craft to ... 16.3 Example: monopolist. 16.4 Example: -
History of the Statistical Laboratory | Statistical Laboratory
https://www.statslab.cam.ac.uk/history-statistical-laboratory25 Apr 2024: However, Jim Durbin emphasises that, for the 1947/8 Diploma, the real problem, at least for him, was the seven-hour practical exam. ... the practical exam being the most important part of the whole affair, had failed the Diploma. -
Richard Weber's Biography
https://www.statslab.cam.ac.uk/~rrw1/mystuff/biog.html27 Sep 2017: Hisand books range over the fields of applied probabilitiy, optimization, statistics, economics, and computer science. ... He has written on problems in stochastic scheduling, Gittins index, queueing theory, large deviations, stochastic networks, -
Optimization and Control
https://www.statslab.cam.ac.uk/~rrw1/oc/index2014.html9 Oct 2014: 15.5 Example: monopolist. 15.6 Example: neoclassical economic growth. 15.7 Problems with terminal conditions. ... 15.8 Neoclassical economic growth. 16 Controlled Diffusion Processes. 16.1 The dynamic programming equation. -
Optimization and Control
https://www.statslab.cam.ac.uk/~rrw1/oc/index2012.html13 Mar 2012: Applications of this course are to be found in science, economics and engineering (e.g., "insects as optimizers", "planning for retirement", "finding a parking space", "optimal gambling" and "steering a space ... Exam questions. -
Optimization and Control
https://www.statslab.cam.ac.uk/~rrw1/oc/index2013.html15 Sep 2014: Applications of this course are to be found in science, economics and engineering (e.g., "insects as optimizers", "planning for retirement", "finding a parking space", "optimal gambling" and "steering a space ... 15.7 Neoclassical economic growth. 16 -
s.dvi
https://www.statslab.cam.ac.uk/~rrw1/stats/Sa4.pdf4 Dec 2008: Then θ̂(X) is called themaximum likelihood estimator (MLE) of θ. Of course, the maximum likelihood estimator need not exist, but in many exam-ples it does. -
Stochastic Calculus Michael R. Tehranchi Contents Chapter 1. A ...
https://www.statslab.cam.ac.uk/~mike/StoCal/notes.pdf19 May 2015: As youknow, Markov chains arise naturally in the context of a variety of model of physics, biology,economics, etc. -
book.dvi
https://www.statslab.cam.ac.uk/~frank/STOCHNET/LNSN_corr/book.pdf14 May 2016: constructs that parallel fundamental concepts from physics or economics. such as energy or price, and which allow us to reason about the systems we. ... some ideas from physics and economics. In our study of loss networks we will have seen a network -
pgs2e-draft.dvi
https://www.statslab.cam.ac.uk/~grg/books/pgs2e-draft.pdf4 Jan 2018: copy. right. Geo. ffre. y G. rimm. ett. Probability on Graphs. Random Processes. on Graphs and LatticesSecond Edition, 2018. GEOFFREY GRIMMETT. Statistical LaboratoryUniversity of Cambridge. copy. right. Geo. ffre. y G. rimm. ettGeoffrey Grimmett. -
Draft Memorial Tribute for the National Academy of Engineering ...
https://www.statslab.cam.ac.uk/~frank/PW/whittle_nae.pdf18 Aug 2021: later awarded the Nobel Prize in Economics for empirical research on cause and effect in the. ... economic phenomena. His book Probability via Expectation (1970, expanded in 2000) is an exposition of probability. -
Peter Whittle, 1927-2021 (Peter Whittle in 1985, by Peter ...
https://www.statslab.cam.ac.uk/~frank/PW/whittle_rss.pdf6 Sep 2021: later awarded the Nobel Prize in Economics for empirical research on cause and effect in the. ... economic phenomena. His book Probability via Expectation (1970, expanded in 2000) is an exposition of probability. -
p2pw6.dvi
https://www.statslab.cam.ac.uk/~rrw1/publications/Antoniadis%20-%20Courcoubetis%20-%20Weber%202004%20An%20Asymptotically%20Optimal%20Scheme%20for%20P2P%20File%20Sharing.pdf15 Nov 2011: Consider the following exam-ple (for which calculations were done with Mathemat-ica). ... Spe-cial Issue on Network Economics, Computer Networks,Elsevier, forthcoming. [3] C. Buragohain, D. -
Models for a self-managed Internet
https://www.statslab.cam.ac.uk/~frank/PAPERS/smi.pdf15 Apr 2009: In Workshop on Internet Service Quality Economics, MIT 1999. (See http://research.microsoft.com/research/network/disgame.htm.). ... In Workshop on Internet Service Quality Economics,MIT 1999. Zachary, S. 2000 Dynamics of large uncontrolled loss networks. -
93 1 TELE1RAFFIC AND DATA1RAFFIC in a Period of ...
https://www.statslab.cam.ac.uk/~frank/PAPERS/cin.pdf8 May 2009: In Arrow K J and Intriligator M D, editors, Handbook of Mathematical Economics, Vol 1, pages 285330, North Holland, 1981. -
C:JMNSC*-1MNSC0455.DVI
https://www.statslab.cam.ac.uk/~frank/PAPERS/aks_final.pdf2 Jul 2007: a review of the basic economic theory of con-gestion pricing, see MacKie-Mason and Varian 1995.)One natural approach involves the owner of the linkbeing paid based on the number ... First, we consider a simple exam-ple in which one player is -
Harry Kesten (1931–2019) A personal and scientific tribute Geoffrey…
https://www.statslab.cam.ac.uk/~grg/papers/kesten-ams3-small.pdf20 Mar 2020: Exciting and beau-tiful problems were formulated and solved, and con-nections with other fields of mathematics and science,both physical and socio-economic, were established.The general area attracted a ... For exam-ple, the usual random walk on Zd has -
Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …
https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf5 Apr 2024: Economics. Maths. Engineering. Computer Science. 0% 20% 40% 60% 80% 100%. ... Using H0, we can impute all the missing potential outcomes (Table 2.2).Suppose A[n] in Table 2.2 is randomised by sampling without replacement (Exam-. -
pcm_proof
https://www.statslab.cam.ac.uk/~frank/PAPERS/PRINCETON/pcm0052.pdf1 May 2006: From the vector x = (xr, r R) we can calculatethe total flow from a source to a destination: for exam-ple, the flow from node c to node a in Figure ... 1956.Studies in the Economics of Transportation. CowlesCommission Monograph. New Haven, CT: Yale Univer -
s.dvi
https://www.statslab.cam.ac.uk/~rrw1/stats/Sa5.pdf4 Dec 2008: Then θ̂(X) is called themaximum likelihood estimator (MLE) of θ. Of course, the maximum likelihood estimator need not exist, but in many exam-ples it does. -
bc98_crc_with_ref.dvi
https://www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Kelly%20-%20Siris%20-%20Weber%201998%20A%20Study%20of%20simple%20usage-based%20charging%20schemes%20for%20broadband%20networks.pdf15 Sep 2011: let nj be the number of connections of type j, and let n = (n1; : : :;nJ).We suppose that after taking into account all economic factors (such as demand andcompetition) the proportions ... Wehave displayed the incentive compatibility of the proposed Results that match 1 of 2 words
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Economic Benefits
https://www.statslab.cam.ac.uk/~frank/PAPERS/deloitte.html15 May 2023: Measuring the Economic Benefits of Mathematical Sciences Research in the UK. ... Measuring the Economic Benefits of Mathematical Sciences Research in the UK,. -
Professor Chris Rogers | Statistical Laboratory
https://www.statslab.cam.ac.uk/person/lcgr125 Apr 2024: LCG Rogers. – Decisions in Economics and Finance. (2018). 41,. 447. ... 2018). 51,. 898. (doi: 10.1239/jap/1421763316). Combining different models. LCG Rogers. – Mathematics and Financial Economics. -
Dr Susan Pitts | Statistical Laboratory
https://www.statslab.cam.ac.uk/person/smp2725 Apr 2024: E Frostig, SM Pitts, K Politis. – Insurance: Mathematics and Economics. ... SM Pitts, K Politis. – Insurance: Mathematics and Economics. (2008). 42,. -
Professor Ioannis Kontoyiannis | Statistical Laboratory
https://www.statslab.cam.ac.uk/person/ik35525 Apr 2024: Between 2005 and 2021 he was with the Department of Informatics of the Athens University of Economics and Business. -
Publications | Statistical Laboratory
https://www.statslab.cam.ac.uk/publications?page=4226 Apr 2024: Communications in Mathematical Physics. (2012). 316,. 809. (doi: 10.1007/s00220-012-1552-6). Incorporation of uncertainty in health economic modelling studies. ... PharmacoEconomics. (2012). 23,. 853. (doi: 10.2165/00019053-200523080-00010). -
Publications | Statistical Laboratory
https://www.statslab.cam.ac.uk/publications?page=4526 Apr 2024: Probabilistic sensitivity analysis in health economics. G Baio, AP Dawid. – Statistical methods in medical research. ... 914. (doi: 10.1198/jasa.2011.tm11321). Economic issues in shared infrastructures. C Courcoubetis, R Weber. – -
Testimonials from Our Clients | The Statistics Clinic
https://www.statslab.cam.ac.uk/clinic/testimonials.html25 Apr 2024: Heather, Department of Economics). Thank you, what a great free service for us "lost" biologists to be able to more accurately understand our data and hopefully avoid wrong interpretations. -
Talks
https://www.statslab.cam.ac.uk/~frank/TALKS/18 Sep 2023: MITACS meeting on Network and Internet Economics, Vancouver, May 2011. EURANDOM, Netherlands, April 2011. ... The Human Dimension of Risk, Cambridge, December 2010. Economic perspectives on congestion (abstracts). -
Teaching - Statistical Modelling
https://www.statslab.cam.ac.uk/~rds37/statistical_modelling.html20 Mar 2023: Dr Pat Altham's webpage has some excellent notes on generalised linear models, as well as solutions to some past exam questions and links to further resources on R. ... I have collected together some of the past exam questions here (far more than you -
Advice for PhD applicants in Financial Mathematics
https://www.statslab.cam.ac.uk/~mike/advice.htmlYou may wish to look at past exam papers to see the expected level. -
Statistics IB
https://www.statslab.cam.ac.uk/Dept/People/djsteaching/teaching17.html9 Apr 2018: These will be available on this site after the lecture. Exam questions. -
Books
https://www.statslab.cam.ac.uk/~rrw1/books.html31 Oct 2011: Pricing Communication Networks provides a framework of mathematical models for pricing these multidimensional contracts, and includes background in network services and contracts, network techonology, basic economics, and pricing strategy. -
John Aston's Home Page - Publications
https://www.statslab.cam.ac.uk/~jada2/pubs.html10 Jun 2021: I Hindrayanto, JAD Aston, SJ Koopman, M Ooms. Modeling trigonometric seasonal components for monthly economic time series (2013), Applied Economics, 45:3024-3034. ... RH Wang, JAD Aston, and CD Fuh. The Role of New Information in Option Pricing: -
Climate change pointers
https://www.statslab.cam.ac.uk/~frank/climate/18 Nov 2006: Aviation:. 1999. 2002. 2003. Economics of climate change:. 2002. -
A self-managed Internet
www.statslab.cam.ac.uk/~frank/int/14 Apr 2007: Damon Wischik. Workshop on Internet Service Quality Economics, Cambridge, MA (1999). ... Pricing Communication Networks: Economics, Technology and Modelling. -
Tariffs and Traffic
www.statslab.cam.ac.uk/~frank/ITC/1 Jul 2009: Others are of an economic nature, involving coordination between distinct commercial entities. ... In future networks the intelligence embedded in end-systems, acting on behalf of users, is likely to lessen the distinction between engineering and -
Charging and accounting for bursty connections
https://www.statslab.cam.ac.uk/~frank/charge.html19 Feb 2022: F. P. Kelly (Statistical Laboratory, University of Cambridge). In Internet Economics (Editors Lee W. -
Modelling Communication Networks
https://www.statslab.cam.ac.uk/~frank/CP/13 Mar 2013: The design and control of such networks present challenges of a mathematical, engineering and economic nature. -
Research
https://www.statslab.cam.ac.uk/~rrw1/research.html20 Feb 2012: Research interests. Research interests. Communications networks:. Incentives for Large Peer-to-Peer Systems, C. Courcoubetis and R. R. Weber, IEEE Journal on Selected Areas in Communications (2006) 24, 1034-1049.> [J. Mundinger, R. R. Weber and G. -
CA$hMAN
https://www.statslab.cam.ac.uk/~frank/cashman.html24 Jul 2006: C. Courcoubetis, G.D. Stamoulis, C. Manolakis and F.P. Kelly. Telecommunications Systems, Special Issue on Network Economics. ... In "Internet Economics" (Editors Lee W. McKnight and Joseph P. Bailey) MIT Press, 1997. -
Road Pricing
https://www.statslab.cam.ac.uk/~frank/PAPERS/ingenia.html5 Apr 2022: So what is the problem with implementing road pricing? What are the challenges and, in particular, what technology, economic and network modelling issues need to be overcome to make it happen? -
Clifford Paterson Lecture - further reading.
https://www.statslab.cam.ac.uk/~frank/CP/CPREAD/26 Apr 2009: The current draft of a paper on pricing and effective bandwidths that I presented at the recent Internet Economics Workshop. ... If you are interested in either of these areas, do let me know (atand Nicholas Economides' Economics of Networks' are sources -
Percolation and related topics
https://www.statslab.cam.ac.uk/~grg/teaching/perc19.html3 Dec 2019: Exam: Two hour paper, conventional format. Principal references:. Problem sheets. Hand-out:. -
Tariffs, policing and admission control
https://www.statslab.cam.ac.uk/~frank/PAPERS/tariff.html19 Feb 2022: An earlier version of this paper was presented at the MIT Workshop on Internet Economics in March 1995. -
Mathematical Models in Finance
https://www.statslab.cam.ac.uk/~frank/finance.html15 Aug 2012: fertile interaction between economics and mathematics centred around martingale representations. ... that arise in economics concerning interacting systems of rational agents. -
Review of elements of methodology for HS2 business case
https://www.statslab.cam.ac.uk/~frank/PAPERS/hs2.html31 Jul 2019: I was asked to review specific elements of the methodology used to estimate the economic benefits arising from High Speed 2. -
Challenges of road pricing
https://www.statslab.cam.ac.uk/~frank/TALKS/cwi2006.html21 Dec 2006: So what's the problem with implementing road pricing? This talk will outline some of the challenges, and, in particular, some of the technology, economic and network modelling issues. ... A. M. Odlyzko, Review of Network Economics 3 (2004) 323-346. -
Optimization IB1998
https://www.statslab.cam.ac.uk/~rrw1/opt/index98.html31 Oct 2011: There is a single examples sheet and a file of exam questions. ... This file has exam questions from 1985-1997. -
Mathematical modelling of the Internet
https://www.statslab.cam.ac.uk/~frank/mmi.html6 Sep 2012: The design and control of such networks present challenges of a mathematical, engineering and economic nature.
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