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- W4245681622 abstract "This chapter considers the binomial distribution when p is small and n is large. The probability of the occurrence of the event is so low that it is called a “rare event”. In 1898, von Bortkiewicz examined the chance of a Prussian cavalryman being killed by a kick of a horse. He examined the number of recorded fatalities by horse kicks sustained in 10 army corps of the Prussian cavalry over 20 years, giving a total of 200 corps recorded. The chapter uses R to calculate the probabilities of being kicked to death by a horse with the binomial density and with the Poisson density, and then compare these with the actual data. Today, the Poisson distribution is more likely to be seen as a distribution in its own right than as a limit of the binomial distribution. The chapter shows how to simulate a Poisson distribution and observe the pattern of occurrences." @default.
- W4245681622 created "2022-05-12" @default.
- W4245681622 date "2020-01-03" @default.
- W4245681622 modified "2023-09-27" @default.
- W4245681622 title "The Poisson Distribution" @default.
- W4245681622 doi "https://doi.org/10.1002/9781119536963.ch13" @default.
- W4245681622 hasPublicationYear "2020" @default.
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