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Self-avoiding walks

Published online by Cambridge University Press:  01 July 2016

J. M. Hammersley*
Affiliation:
University of Oxford

Abstract

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Type
I. Invited Review and Research Papers
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Billingsley, P. (1961) Statistical Inference for Markov Processes. University of Chicago Press, Chicago.Google Scholar
[2] Brown, B. M. (1971) Martingale central limit theorems. Ann. Math. Statist. 42, 5966.CrossRefGoogle Scholar
[3] Hannan, E. J. and Heyde, C. C. (1972) On limit theorems for quadratic functions of discrete time series. Ann. Math. Statist. 43, 20582066.CrossRefGoogle Scholar
[4] Heyde, C. C. (1972) Martingales: a case for a place in the Statistician's repertoire. Austral. J. Statist. 14, 19.CrossRefGoogle Scholar
[5] Heyde, C. C. (1973) An iterated logarithm result for martingales and its application in estimation theory for autoregressive processes. J. Appl. Prob. 10, 146157.CrossRefGoogle Scholar
[6] Heyde, C. C. (1974) On estimating the variance of the offspring distribution in a simple branching process. Adv. Appl. Prob. 6, 421433.CrossRefGoogle Scholar
[7] Heyde, C. C. (1974) On martingale limit theory and strong convergence results for stochastic approximation procedures. Stochastic Processes Appl. 2, 359370.CrossRefGoogle Scholar
[8] Heyde, C. C. and Seneta, E. (1972) Estimation theory for growth and immigration rates in a multiplicative process. J. Appl. Prob. 9, 235256.CrossRefGoogle Scholar
[9] Neveu, J. (1970) Calcul des Probabilités 2nd ed. Masson et Cie, Paris.Google Scholar
[10] Rao, C. R. (1965) Linear Statistical Inference and its Applications. Wiley, New York.Google Scholar
[11] Roussas, G. G. (1972) Contiguity of Probability Measures. Cambridge University Press, Cambridge.CrossRefGoogle Scholar