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Biometrika 1976 63(3):551-554; doi:10.1093/biomet/63.3.551
© 1976 by Biometrika Trust
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Inference for a two-dimensional stochastic growth model

D. Y. DOWNHAM and D. H. GREEN

Department of Computational and Statistical Science, University of Liverpool

Williams & Bjerknes (1972) suggested a model for the growth of abnormal cells in a plane. Abnormal cells are assumed to divide k times faster than normal cells. In this paper an unbiased minimum variance estimator of k is obtained and the estimates obtained from simulated growths are compared with the actual values. A method of estimating ft from the ‘crinkliness’ of a growth, as suggested by Mollison (1972), is also considered.

Key Words: Cell growth • Computer simulation • Maximum likelihood • Random walk • Stochastic process


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