Paul Marriott

Hard at Work

Visiting Associate Professor

 

Teaching Assignment Spring 04

STA103 Probability and Statistical Inference
 
 
 

Current Research Interests:

Application of Geometry to Theoretical Statistics:

I am currently working on using geometric ideas, for example differential or convex geometry in Statistics, a good summary of this work can be found in the CUP volume with Mark Salmon [9]. Recently I have been working on using geometric methods to understand mixture models, [5]  gives a general introduction to the idea of a local mixture model which is developed in  [2, 4], and the current working paper

Local Mixture and Exponential Dispersion Models PDF format
 
Also some considerations of global geometric issues in statistics can be found in [1, 7].

Applied Stochastic Modelling:

I have worked on a broad range of applied projects across many subject areas; these include  Material Science  [4, 13, 18],  Linguistics [12] , Applied Mathematics [19], Physics [8] and Medical Statistics [14, 15, 17].

Selected Publications:

  1. Marriott P and Vos P., (2004), On the global geometry of parametric models and information recovery,  Bernoulli, 10 (2), 1-11
  2. Critchley, F,  and Marriott P, (2004),  Data informed influence analysis,  Biometrika 91, 1
  3. Marriott, P  (2003), On the Geometry of Measurement Error Models,  Biometrika 90, 3.
  4. Jeynes  Marriott P,C, N.P.Barradas, P.K.Marriott, M.Jenkin, E.Wendler, G.Boudreault, R.P.Webb, (2003)  Elemental thin film depth profiles by ion beam analysis using simulated annealing - a new tool, Appl. Phys. 36
  5. Marriott, P  (2002) , On the local geometry of Mixture Models,  Biometrika, 89, 1, pp 77-89
  6. Critchley, F, Marriott PK and Salmon M, (2002) On Preferred Point Geometry in Statistics,  JSPI, 102, 229-245
  7. Marriott P and West S, (2002),  On the Geometry of Censored Models,  Calcutta  Statistical  Association Bulletin  52, pp 235-250.
  8. Crowder, M, Ledford A, and PK Marriott, (2001) Lifetime prediction from only present age: fact or fiction? Phys Lett A 280 309-311
  9. Marriott PK and Salmon M.   (2000) Applications of Differential Geometry to Econometrics,  Cambridge University Press: London
  10. Marriott PK and Salmon M, (2000) An Introduction to differential geometry,  Applications of Differential Geometry to Econometrics, CUP: London
  11. Critchley, F, Marriott PK and Salmon M, (2000) An Elementary Treatment of Amari's expected geometry,  Applications of Differential Geometry to Econometrics, CUP: London
  12. Greville C, A Hippisley, Brown D and Marriott PK, (2000) Frequency and regularity revisited: knowing what to count. In Frequency and the emergence of Linguistic structure, Eds Bybee, J and Hooper P Amsterdam: John Benjamins
  13. Barradas N P, Jeynes C, Jenkin M, and Marriott PK, (1999) Bayesian Error Analysis of Rutherford Backscattering Spectra,  Thin Solid films  344: 31-34
  14. Procopio, M, and Marriott PK (1998), Is the decline in diagnoses of schizophrenia caused by the disappearance of a seasonal aetiological agent? An epidemiological study in England and Wales, Psychological Medicine 28
  15. Procopio, M, and Marriott PK (1998), Seasonality in birth: A Danish study, Acta Neurologica Scaninavia, 98, 5,
  16. Ledford A and Marriott PK (1998), Comment on paper of Diggle, Twan and Moyeed: Model based Geostatistics, Applied Statistics 47
  17. Procopio, M, Marriott PK and Williams P (1997), Season of  birth: aetiological implications for Epilepsy, Seizure 6 99-105
  18.  Barradas N P,  Marriott PK, Jeynes C,  and Webb R P (1998)  The RBS Data furnace: Simulated Annealling  Nucl Instrum Meth B 137: 1157-1162
  19. Aston PJ and Marriott PK (1997), A waiting time Paradox  applied to transition times, Physical Review E
  20. Critchley, F, Marriott PK and Salmon M, (1996), On the differential geometry of the Wald test, Econometrica 64 No 5 p1213-1222
  21. Critchley, F, Marriott PK and Salmon M, (1994) On the local  differential geometry of the Kullback-Liebler divergence, Annals Statist 22 p1587-1602.
  22. Critchley, F, Marriott PK and Salmon M, (1993) Preferred Point Geometry and Statistical Manifold, Annals Statist 21   p1197-1224.


paul@stat.duke.edu

223C Old Chemistry Building
Box 90251
Duke University
Durham, NC 27708-0251 USA

Phone: (919) 684-4608
FAX: (919) 684-8594

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