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Asymptotic expansion of the logistic midrange. (English) Zbl 0704.60028

Summary: Using the symbolic computation program MAPLE, we compute several terms of an asymptotic expansion for the distribution function of the logistic midrange.

MSC:

60F99 Limit theorems in probability theory
65C05 Monte Carlo methods

Software:

Maple
Full Text: DOI

References:

[1] Bailey, W. N., Generalized Hypergeometric Series (1935), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0011.02303
[2] Copson, E. T., Asymptotic Expansions (1965), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0123.26001
[3] Galambos, J., Asymptotic Theory of Extreme Order Statistics (1978), Wiley: Wiley New York · Zbl 0381.62039
[4] George, E. O.; Rousseau, C. C., On the logistic midrange, Ann. Inst. Statist. Math, 39, 627-635 (1987), Part A · Zbl 0638.62014
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