Scan StatisticsSpringer Science & Business Media, 9 août 2001 - 370 pages In many statistical applications the scientists have to analyze the occurrence of observed clusters of events in time or space. The scientists are especially interested to determine whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Applications of scan statistics have been recorded in many areas of science and technology including: geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics. |
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III | 3 |
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CI | 173 |
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Expressions et termes fréquents
accurate approximation algorithm aligned applications approach Arratia asymptotic results Bernoulli process Bernoulli trials binomial Bonferroni Bonferroni inequalities Bonferroni-type inequalities cell Chapter circle compound Poisson approximation compute conditional consecutive trials critical value declumping defined denote the number density derive discrete scan statistic disjoint equation evaluate exact results example expected number function given gives Glaz Huffer Huffer and Lin independent integer interval of length Karlin Karwe Koutras Lemma letters longest run lower bound Markov chain match maximum number method multinomial distribution mutually exclusive events n₁ Naus Neff null hypothesis number of events number of points number of successes order statistics p-value P(Sw Poisson distribution Poisson process polynomial probability problem quadrat random variables recursion researcher Roos sample scan statistic scanning window Section sequence simulation smallest subinterval Table Theorem total number two-dimensional unconditional unit interval upcrossings upper bound Wallenstein Σ Σ
Fréquemment cités
Page 336 - Cressie, N. (1976). On the logarithms of high-order spacings. Biometrika 63, 343355. Cressie, N.
Page 346 - E., and Brendel, V. (1989). A method to identify distinctive charge configurations in protein sequences, with application to human Herpes virus polypeptides.
Page 342 - J. (1991). Tight bounds and approximations for scan statistic probabilities for discrete data. Annals of Applied Probability 1, 306-318.
Page 336 - On the number of overlapping success runs in a sequence of independent Bernoulli trials In Bergum, GE (ed.) et al Applications of Fibonacci numbers Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications. University of St Andrews. Scotland, July 20-24. 1992 Dordrecht...