(revised September 2013)



1965 - 1969

1. A convolution equation on a compact interval, Proc. Amer. Math. Soc. 16(1965), 8-13.
2. An asymptotic estimate of Brownian path variation, Proc. Amer. Math. Soc. 21(1969), 134-138.
3. The variation of a stable path is stable, Z. Wahrsch. Verw. Gebiete 14(1969), 140-148.

1970 - 1979

4. Variations of processes with stationary independent increments (with Bert Fristedt), Z. Wahrsch. Verw. Gebiete 23(1972), 171-186.
5. Asymptotics of randomly stopped sequences with independent increments, Annals of Probability 1(1973), 317-321.
6. On Prabhu's factorization of Levy generators, Z. Wahrsch. Verw. Gebiete 27(1973), 75-77.
7. The Martintote, Annals of Probability 2(1974), 84-89.
8. Extreme time of processes with stationary independent increments, Annals of Probability 3(1975), 664-676.
9. Wiener-Hopf methods, decompositions, and factorisation identities for maxima and minima of homogeneous random processes, Advances in Applied Probability 7(1975), 767-785.
10. Random stopping preserves regular variation of process distributions (with Itrel Monroe), Annals of Probability 5(l977), 42-5l.
11. Wiener-Hopf decomposition of random walks and Levy processes, Z. Wahrsch. Verw. Gebiete 34(1976), 193-198.
12. Fluctuations of random walk in Rd and storage systems (with Moshe Shaked), Adv. Appl. Prob. 9 (1977), 566-587.
13. Dual pairs of stopping times for random walk (with Moshe Shaked), Annals of Probability 6(1978), 644-650.
14. A bivariate stable characterization and domains of attraction (with Sidney Resnick), Journal of Multivariate Analysis 9 (1979), 206-221.

1980 - 1989

15. Fluctuation theory for Levy processes and splitting at the maximum (with Jim Pitman), Adv. Appl. Prob. 12 (1980), 893-902.
16. Construction of local time and poisson point processes from nested arrays (with Jim Pitman), J. London Math. Soc. (2) 22(1980), 182-192.
17. Fluctuation identities for random walk by path decomposition at the maximum (with Jim Pitman), Adv. Appl. Prob. 12 (1980), 291-293 (in Conference Proceedings).
18. Competing risks and independent minima, a marked point process approach (with Elja Arjas), Adv. Appl. Prob. 13(1981), 669-680.
19. Harmonic renewal measures (with E. Omey and J.L. Teugels), Z. Wahr. 59(1982), 391-409.
20. Harmonic renewal measures and bivariate domains of attraction in fluctuation theory (with J.L. Teugels and E. Omey). Z. Wahr. 61(1982), 527-539.
21. A conditioned limit theorem for random walk and Brownian local time on square root boundaries, Ann. Prob. 11(1983), 227-261, (with E. Perkins).
22. Limit theorems for excursions from a moving boundary (with E. Perkins), Thy. Prob. and Appl. 29(1984), 703-714.
23. Characterizations of set-indexed Brownian motion and associated conditions for finite-dimensional convergence (with Charles M. Goldie) Ann. Prob. 14(1986), 802-816.
24. Variance of set-indexed sums of mixing random variables and weak convergence of set-indexed processes (with Charles M. Goldie) Ann. Prob. 14(1986), 817-839.
25. One-sided boundary crossing for processes with independent increments (with A.A. Novikov), Thy. Prob. and Appl. 31 (1986), 266-277.
26. An extreme-type limit law for a storage process (with Gerard Hooghiemstra), Mathematics of Operations, Research 13(1988) 232-242.
27. Partially specified semimartingale experiments Contemp. Math. 80 (1988) 1-17.
28. Uniform weak convergence of semimartingales and applications to sequential estimation (with A.N. Shiryaev), Statistics and Control of Stochastic Processes. Nauka, Moscow (1989) , 40-48.

1990 - 1999

29. On the Domain of attraction of an operator between supremum and sum (with G. Hooghremstra) Prob. theory and Related Fields, 89 (1991) 201-210.
30. Asymptotic minimaxity of a sequential maximum likelihood estimator for a first order autoregressive model (with A.N. Shiryaev), Stochastics and Stochastics Reports 38(1992) 49-65.
31. Efficiency of estimators for partially specified filtered models. (with W. Wefelmeyer)Sto. Processes and their Applic. 36 (1990) 353-370.
32. Efficient estimating equations for nonparametric filtered models (with W. Wefelmeyer). Statistical Inference from Stochastic Processes, Vol. 1 (N.U. Prabhu, I.V. Basawa, eds.) (1991) 107-141.
33. Efficient estimation in a nonlinear counting process regression model. (with W. Wefelmeyer) Canadian J. of Statistics 19 (1991) 165 - 178.
34. Rates of poisson approximation of finite range random fields (with A. Barbour). Annals of Applied Probability, 3(1993) 91-102.
35. On the joint distribution of ladder variables of random walk (with R.A. Doney) Prob. Theory and Related Fields, 94(1993) 457-472.
36. Asymptotic Minimax Results for stochastic process families with critical points (with W. Wefelmeyer) Sto. Processes and their Applications, 44(1993) 107-116.
37. Efficiency of empirical estimators for Markov chains (with W. Wefelmeyer), Annals of Statistics, 23 (1995) 132-143.
38. Nonparametric estimators for Markov step processes (with W. Wefelmeyer), Stochastic Processes. Appl. 52 (1994) 1-16.
39. Optimality properties of empirical estimators for multivariate point processes (with W. Wefelmeyer) J. Multiv. Anal. 49 (1994) 202-217.
40. Outperforming the Gibbs sampler empirical estimator for nearest neighbor random fields (with Ian McKeague and W. Wefelmeyer) Annals of Statistics, 24(1996) 1433-1456.
41. Empirical estimators for semi-Markov processes (with W. Wefelmeyer) Mathematical Methods of Statistics 5(1996) 229-315.
42. Maximum likelihood estimator and Kullback-Leibler information in misspecified Markov chain models (with W. Wefelmeyer), Teor. Veroyatnost. I Primenen. 42 (1997) 169-178.
43. Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model (with Jiaming Sun) J. Statist. Physics 86 (1997) 149-164.
44. The domain of attraction of the ?-sun operator for type II and type III distributions (with G. Hooghiemstra) Bernoulli 3(1997) 479-489.
45. Cox's factoring of regression model likelihoods for continuous time processes (with W. Wefelmeyer) Bernoulli, 4(1998) 65-80.
46. On criticality for competing influences of boundary and external field in the Ising model (with Jiaming Sun) J. Statist. Physics 92(1998), 35-45.
47. Information bounds for Gibbs samplers (with I.W. McKeague and W. Wefelmeyer) Ann. Statist 26(1998) 2128-2156.
48. Reversible Markov chains and optimality of symmetrized empirical estimators. (with W. Wefelmeyer) Bernoulli, 5(1999) 109-123.
49. Bahadur's asymptotic efficiency and the LAN expansion I. Lower bound, Independent observations (with I. Ibragimov) Mathematical Methods in Statistics 8 (1999), 181-208.
50. Von Mises type statistics for single site updated local interaction random fields (with I.W. McKeague and W. Wefelmeyer). Statistica Sinica 9(1999) 699-712.
51. Characterizing efficient estimators for local interaction Gibbs fields (with W. Wefelmeyer) Stat. Inf. for Sto. Processes 2(1999) 119-134.
52. Statistical analysis of stochastic resonance in a simple setting (with Lawrence Ward and W. Wefelmeyer) Physical Review E 60, 4(1999) 4687-4695.

2000 - 2009

53. Spatial coupling in cyclic population dynamics:models and data. (with D. Haydon). Theoretical Population Biology 58( 2000) 239-254.
54. Stochastic resonance enhances the electrosensory information available to paddlefish for prey capture. (with L. Ward, D.Russell, A.Neiman, F.Moss), Physical review letters 84 (2000), 4773-4776.
55. Phase coupling and snychrony in the spatio-temporal dynamics of muskrat and mink populations across Canada (with D.T.Haydon, N.C.Stenseth, and M.S.Boyce) Proc. Natnl. Acad. Sci. U.S.A., 10.1073 (2001).
56. Commentary on "Inference for Semiparametric Models" by P.J.Bickel and J.Kwan, (with W.Wefelmeyer and A.Shick) Statistica Sinica 11(2001), 892-906.
57. Spatio-temporal dynamics of the grey-sided vole in Hokkaido: identifying coupling using state-based Markov-chain modeling (with D.T.Haydon, N.C.Stenseth, T.Sato, Proceedings of the Royal Society B, 270(2003) 435-445.
58. Statistical analysis of stochastic resonance in a threshold detector (with U. Mueller, W. Wefelmeyer, L. Ward). Austrian J. of Stat. 32(2003) 49-70.
59. Efficient estimation for semiparametric semi-Markov processes (with U. Mueller and W. Wefelmeyer) Communications in Statistics 33(2004) 419-435.
60. Soft threshold stochastic resonance (with U. Mueller and L. Ward) Phys Rev. E 70(2004)
61. Optimal signal estimation in neuronal models (with P. Lansky) Neural computation 17(10) 2240-2257, (2005).
62. Greenwood P E and Lansky P, Optimum signal in a simple neuronal model with signal dependent noise, Biological Cybernetics 92(3), 199-205, (2005).
63. Kuske R, Gordillo L F, Greenwood P E, Sustained oscillations via coherence resonance in SIR, Journal of Theoretical Biology 245(2007), 459-469.
64. Greenwood P E, Lansky P, Information content in threshold data with nonGaussian noise, Fluctuation and Noise Letters 7(2007), L79-89.
65. Lansky P, Greenwood P E, Optimal signal in sensory neurons under an extended rate coding concept, Biosystems 89(1-3), 10-15, (2007).
66. 1/f Noise (with Lawrence Ward) Scholarpedia 2(12):1537 (2007).
67. 1/(omega-to-the-alpha) noise from reversible Markov chains on finite state spaces (with Sveinung Erland), Phys Rev. E. 76(2007), 031114.
68. Gordillo L, Martin-Lof A, Marion S, Greenwood P E, Bimodal epidemic size distributions for near-critical SIR with vaccination. Bull. Math. Biol. 70(2008), 589602.
69. The effect of patterns of infectiousness on epidemic size (with Luis Gordillo, S.A. Marion) Math. Biosciences and Engineering 5(2008), 429-435.
70. Allen E, Allen L J, Arconiega, A, Greenwood, P E, Construction of Equivalent stochastic differential equation models, Stochastic Analysis and Applications 26(2008), 274-297.

2010 - 2013

71. Mubayi A, Greenwood P E, Castillo-Chavez C, Gorman D., Gruenewald P, Impact of relative residence times on the distribution of heavy drinkers in highly distinct environments, Socio-Economics Planning Sciences, 1(2010), 45-66.
72. Estimating the inter-arrival time density of semi-Markov processes under structural assumptions on the transition distribution (with W. Wefelmeyer and A. Schick) Statist. Prob. Lett 81(2011) 277-282.
73. Types of drinkers and drinking settings, an application of a mathematical model. (with Anuj Mubayi, Xiaohong Wong, Carlos Castillo-Chavez, Dennis Gaman, Paul Gruenewald, Robert Saltz) “Addiction” 106(2011)749-758.
74. Baxendale, P.H. Greenwood, P.E. , Sustained oscillations for density-dependent Markov processes, Journal of Math. Bio. 63(2011), 433-457.
75. Giraudo, M.T., Greenwood, P.E., Sacerdote, L., How sample paths of leaky integrate-and-fire models are influenced by the presence of a firing threshold. Neural Computation, 23(2011), 1743-1767.
76. Rowat, P.F., Greenwood, P.E., Identification and continuity of the distributions of burst-length and inter-spike interval in the stochastic Morris-Lecar neuron, Neural Computation 23(2011), 3044-3124.
77. Ditlevsen, S., Greenwood, P., The Morris-LeCar neuron embeds a leaky integrate-and-fire model, J. Math. Bio. 67(2013), 239-259.
78. Mubayi, A, Greenwood, P. Contextual interventions for controlling alcohol drinking, Math. Population Studies 20(2013), 27-53.
79. Bani R., Hameed R, Szymanowskii, Greenwood P., Kribs-Zaleta C., Mubayi A., Influence of environmental factors on college alcohol drinking patterns, Math. Biosciences & Engineering 10(5-6), 1281-1300, (2013).
80. Greenwood P.E., McDonnell M.D., Ward L.M., Dynamics of gamma bursts in local field potentials. 26p. (under review)

Conference Proceedings

1. Stochastic differentials and non-standard random variables (with Reuben Hersh). Springer Lecture Notes #451 (1974), Proceedings of Conference on Probabilistic Methods in Differential Equations.
2. Point processes and system lifetimes. Proceedings of 3rd Conference on Stochastic Differential Systems (Hungary, 1980), Springer Lecture Notes.
3. Functional Convergence of Evolving Random Fields (with M. Ossiander). Selected Proceedings of Sheffield Symposium on Applied Probability, IMS Lecture Notes Series 18 (1991) 66-99.
4. Partial likelihood and estimating equations (with W. Wefelmeyer). Selected Proceedings of the Symposium on estimating functions. Eds. I.V. Basawa, V.P. godambe, R.L. Taylor, IMS Lecture Notes Monograph Series Vol 32, (1997) 19-33.
5. Stochastic extrema, splitting random elements, and models of crack formation, (with E.V.Evstigneev) in: J. Henry and J.-P. Ivon eds., System Modelling and Optimization, Proceedings of the 16th IFIP-TC7 Conference, Compreqne, July 5-9 1993, Lecture Notes in Control and Information Sciences, V. 197, Springer, London, (1994) 315-319.
6. Semiparametric Inference for Synchronization of Population Cycles (with D.T. Haydon)in: Selected Proceedings of the Symposium on Inference for Stochastic Processes, Inst of Math Stat. Lecture notes Monograph series 37(2001) 205-211.
7. Gordillo L. Greenwood P E, and Kuske R, Autonomous stochastic resonance produces epidemic oscillations of fluctuating size, Proceedings of Prague Stochastics, 2006, Prague, Mathfyzpress.
8. Greenwood, P.E., A stochastic dynamics viewpoint of some neuron models, Intelligent sensors, sensor networks and Information Processing (JSSNIP) 7th Int. Conf. (2011) p155-157.

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