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- W4245164051 abstract "Daniels (1974) reduced the problem of approximating the distribution of the maximum size of a closed epidemic to that of finding the distribution of max 0≦t≦2 { W ( t ) – N 1/2 c ( t )}, where c is a smooth function with a unique minimum of 0 at t = 1, and he derived an approximation to this distribution which he showed to be accurate to order N –1/4 . In this paper, his approximation is shown to be accurate to order N –1/3 , and a refined approximation is given which is accurate to order N –1/2 log N. The new approximation is still normal, and its accuracy is similar to that of the original approximation of a discrete process by the Wiener process." @default.
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- W4245164051 date "1981-12-01" @default.
- W4245164051 modified "2023-09-27" @default.
- W4245164051 title "Brownian motion and a sharply curved boundary" @default.
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- W4245164051 doi "https://doi.org/10.1017/s000186780003648x" @default.
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