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Network routing
www.statslab.cam.ac.uk/~frank/CP/CPREAD/nr.html14 May 1996: flow patterns as extremal values, and Nagurney [26] provides a recent review of competitive equilibrium problems including general traffic network models and related models of economic markets. ... NYT 25 December 1990, p.38. [28] Pigou, A.C. The -
www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt
www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt20 Jul 2010: Now if the returns were IID, the rows of the matrix P would all be the same, and a contingency table test shows that this is overwhelmingly rejected for most pairs -
John Hammersley
www.statslab.cam.ac.uk/~grg/papers/ham1-ph.html14 May 2004: He spent some years commuting to Harwell before returning in 1959 as a Senior Research Officer in the Institute of Economics and Statistics. -
Stochastic Networks
www.statslab.cam.ac.uk/~frank/pref.html25 Jul 2004: stochastic economic lot scheduling problem. -
Economic Benefits
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,. -
8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence-4.pdf20 Feb 2017: Pearson’s Chi-squared tests. Pearson’s Chi-squared tests. Notice that (?) and (?) are of the same form. ... Pearson’s Chi-squared tests. Example 9.1 continued using R:. chisq.test(n,p=ptilde). data: n. -
Tel 01223 334940 e-mail masters-assistant@christs.cam.ac.uk web:…
www.statslab.cam.ac.uk/~frank/PAPERS/DfTHS2.pdf5 Oct 2015: the calculation of the economic benefits generated by HS2. Using the terminology of. ... Economic Case for HS2 (October 2013) of a distribution of benefit cost ratios, reflecting. -
Challenges of road pricing
www.statslab.cam.ac.uk/~frank/TALKS/mathsintransport.html11 Sep 2005: Review of Network Economics 3 (2004) 323-346. E.T. Verhoef and K.A. ... Small. Journal of Transport Economics and Policy 38 (2004) 127-156. -
Acknowledgements
www.statslab.cam.ac.uk/~frank/TALKS/RoySoc99/tsld002.htm15 Dec 1999: Microsoft Research: Paul Barham, Peter Key, Koenraad Laevens, Derek McAuley. Economics: Robin Mason. -
Network dimensioning in a packet switched environment
www.statslab.cam.ac.uk/~frank/PAPERS/dhk.html15 Feb 2010: the new economics of service provision. -
An intelligent agent for optimizing QoS-for-money in priced ABR…
www.statslab.cam.ac.uk/~frank/PAPERS/iaabr.html25 Nov 2012: Our approach can be applied to more general cases of economic sharing of network resources, and offers new capabilities for resource management, while it is not specific to ABR. -
Professor Chris Rogers | Statistical Laboratory
www.statslab.cam.ac.uk/person/lcgr19 Jul 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
www.statslab.cam.ac.uk/person/smp279 Jul 2024: E Frostig, SM Pitts, K Politis. – Insurance: Mathematics and Economics. ... SM Pitts, K Politis. – Insurance Mathematics and Economics. (2008). 42,. -
Dr Qingyuan Zhao | Statistical Laboratory
www.statslab.cam.ac.uk/person/qz2809 Jul 2024: FR Guo, Q Zhao. (2023). (link to publication). What is a Randomization Test? -
Testimonials from Our Clients | The Statistics Clinic
www.statslab.cam.ac.uk/clinic/testimonials.html9 Jul 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. -
How the Clinic Works | The Statistics Clinic
www.statslab.cam.ac.uk/clinic/service.html9 Jul 2024: Research. Show our clients novel, cutting edge methods that may be used to understand data better, make more precise predictions and test hypotheses more reliably. -
Dr Qingyuan Zhao | The Statistics Clinic
www.statslab.cam.ac.uk/clinic/person/qz2809 Jul 2024: 2023). (link to publication). What is a Randomization Test? Y Zhang, Q Zhao. – -
paper.dvi
www.statslab.cam.ac.uk/~frank/evol.pdf4 Apr 2008: then the system as awhole operates efficiently; here efficiency is defined in the economic sense thatthe share of resources allocated to each user and the overall level of resourceutilization are such -
Models for a self-managed Internet
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. -
6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses.pdf6 Feb 2017: It says that the most powerful test (ie the one with the smallest Type II errorprobability), among tests with size smaller than or equal to α, is the size αlikelihood ratio ... This is called a z-test. Lecture 7. Simple Hypotheses 9 (1–1). -
Charging and rate control for elastic traffic ∗ Frank ...
www.statslab.cam.ac.uk/~frank/elastic.pdf25 Nov 2008: In economic terms,equilibrium is achieved when demand (ms) equals supply, or price timesquantity (λsxs); and further, in this case, aggregate utility is maximized. -
7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses.pdf20 Feb 2017: The ’generalised likelihood ratio test’. The next theorem allows us to use likelihood ratio tests even when we cannotfind the exact relevant null distribution. ... Generalised likelihood ratio tests. The 'generalised likelihood ratio test'. -
Useful Statistical Resources | The Statistics Clinic
www.statslab.cam.ac.uk/clinic/resources.html9 Jul 2024: Part IB Statistics, lectured by Prof David Spiegelhalter: basic concepts in statistics including maximum likelihood estimators, confidence intervals, hypothesis testing, contingency tables, goodness-of-fit tests and linear models. -
Talks
www.statslab.cam.ac.uk/~frank/TALKS/4 Jul 2024: 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). -
Mathematical Tripos: Part IB DJS/Lent 2017 Statistics: Example Sheet…
www.statslab.cam.ac.uk/Dept/People/djsteaching/ex-S1B-17-1.pdf17 Jan 2017: Comments and corrections to david@statslab.cam.ac.uk. 1. Ask your supervisor to test you on the sheet of common distributions handed out inlectures. -
TRANSPORT NETWORKS AND THEIR USE: HOW REALCAN MODELLING GET? ...
www.statslab.cam.ac.uk/~frank/TALKS/allsop_rs.pdf21 Sep 2007: It is a means ofovercoming physical separation for the purpose of economic, social cultural and personal activity. ... Utrecht: VSP. [18] Watling D and M L Hazelton (2003) The dynamics and equilibria of day-to-day assignment models.Networks and Spatial -
6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses-4.pdf6 Feb 2017: It says that the most powerful test (ie the one with the smallest Type II errorprobability), among tests with size smaller than or equal to α, is the size αlikelihood ratio ... This is called a z-test. Lecture 7. Simple Hypotheses 9 (1–1). -
7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses-4.pdf20 Feb 2017: W (θ) W(θ) for all θ Θ1. UMP tests may not exist. ... The ’generalised likelihood ratio test’. The next theorem allows us to use likelihood ratio tests even when we cannotfind the exact relevant null distribution. -
1 Statistics 1B Interludes 13. ‘Not statistically significant’ Most…
www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-13-non-significance.pdf6 Mar 2017: Only one excluded 1. 2. 30 more sensitive tests? Children shown below• Paper and press release only reported. -
14. Lecture 15. Hypothesis testing in the linear model ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses-4.pdf6 Mar 2017: Generalised likelihood ratio test. The generalised likelihood ratio test of H0 against H1 is. ... Hypothesis testing in the linear model 15.5. Null distribution of test statistic. -
Stability of End-to-End Algorithms for Joint Routing andRate Control…
www.statslab.cam.ac.uk/~frank/PAPERS/kv.pdf8 Jun 2015: 6. REFERENCES. [1] M. Beckmann, C.B. McGuire and C.B. Winsten.Studies in the Economics of Transportation. -
A POWER-WEIGHTED VARIANT OF THE EU27 CAMBRIDGE COMPROMISE G. ...
www.statslab.cam.ac.uk/~grg/papers/USmss8rev1.pdf2 Sep 2011: 12. Theil, H., Schrage, L. (1977). The apportionment problem and the European Parliament.European Economic Review 9, 247–263. -
15. Lecture 16. Linear model examples, and ’rules of ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-16-linear-examples.pdf6 Mar 2017: Thus D N(µX µY , φ2. n ), and we test H0 : µX µY = 0 by the t statistic. ... 16. Linear model examples 16.2. Paired observations. In R code:. > t.test(x,y,paired=T). -
5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian.pdf6 Feb 2017: Examples are spam filters, text and speech recognition, machine learning,bioinformatics, health economics and (some) clinical trials. -
10. Lecture 11. Multivariate Normal theory Lecture 11. Multivariate…
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-11-MVN-4.pdf28 Feb 2017: 1 α = P(tn1( α2 ). n(X̄ µ)σ̃. tn1( α2 )). and has endpoints. X̄ σ̃n. tn1( α2 ). See example sheet 3 for use of t distributions in hypothesis tests.Lecture -
ON INFLUENCE AND COMPROMISEIN TWO-TIER VOTING SYSTEMS GEOFFREY R. ...
www.statslab.cam.ac.uk/~grg/papers/JC-inf7.pdf22 May 2019: ON INFLUENCE AND COMPROMISEIN TWO-TIER VOTING SYSTEMS. GEOFFREY R. GRIMMETT. Abstract. We examine two aspects of the mathematical basis for two-tier votingsystems, such as that of the Council of the European Union. These aspects concernthe use of -
X Incentivized Optimal Advert Assignment via Utility Decomposition…
www.statslab.cam.ac.uk/~frank/PAPERS/oaa.pdf13 Jun 2014: It is well known in the economic literature that market clearing prices that equateto marginal utility will maximize aggregate utility. -
13. Lecture 14. Applications of the distribution theory Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-14-normal-applications.pdf6 Mar 2017: This does not contain 0. Hence if carry out a size 0.05 test of H0 : b = 0 vs. ... H1 : b 6= 0, the test statistic would be b̂s.e.(b̂) =12.91.99 = 6.48, and we would. -
PERCOLATION SINCE SAINT-FLOUR GEOFFREY R. GRIMMETT AND HARRY KESTEN…
www.statslab.cam.ac.uk/~grg/papers/stf.pdf2 Jul 2012: One test for coarse equivalence is whether or not ran-dom walk on the infinite cluster satisfies an invariance principle. -
15. Lecture 16. Linear model examples, and ’rules of ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-16-linear-examples-4.pdf6 Mar 2017: A size α test is to reject H0 if |t| > tnm2(α/2). ... 16. Linear model examples 16.2. Paired observations. In R code:. > t.test(x,y,paired=T). -
5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian-4.pdf6 Feb 2017: Examples are spam filters, text and speech recognition, machine learning,bioinformatics, health economics and (some) clinical trials. -
Harry Kesten (1931–2019) A personal and scientific tribute Geoffrey…
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 -
SHARP THRESHOLDS FOR THE RANDOM-CLUSTER AND ISING MODELS BENJAMIN ...
www.statslab.cam.ac.uk/~grg/papers/boxUS.pdf9 Feb 2010: SHARP THRESHOLDS FOR THE. RANDOM-CLUSTER AND ISING MODELS. BENJAMIN GRAHAM AND GEOFFREY GRIMMETT. Abstract. A sharp-threshold theorem is proved for box-crossing proba-bilities on the square lattice. The models in question are the random-clustermodel -
13. Lecture 14. Applications of the distribution theory Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-14-normal-applications-4.pdf6 Mar 2017: This does not contain 0. Hence if carry out a size 0.05 test of H0 : b = 0 vs. ... H1 : b 6= 0, the test statistic would be b̂s.e.(b̂) =12.91.99 = 6.48, and we would. -
Mathematics and Financial Markets The David Crighton Lecture 2016
www.statslab.cam.ac.uk/~frank/TALKS/crighton_annotated.pdf14 May 2016: From Measuring the Economic Benefits of Mathematical ScienceResearch in the UK. -
C:JMNSC*-1MNSC0455.DVI
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 -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?page=1029 Jul 2024: Discussion of Adaptive confidence intervals for the test error in classification by Laber and Murphy. -
notes.dvi
www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation -
18 Heavy traffic on a controlled motorway F. P. ...
www.statslab.cam.ac.uk/~frank/PAPERS/KingFest/kwroad.pdf24 Feb 2010: ranging from game theory, through economics to political philosophy. Here we describe a concept of fairness which is a natural extension of. -
book.dvi
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
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