Frequency of accidents occurring

Reference no: EM131000816

The data below, taken from Greenwood and Yule, (1920)3 , shows the frequency of accidents occurring, over a ?ve-week period, to 647 women making high explosives during World War I.

Number of Accidents	Observed Frequency
0	447
1	132
2	42
3	21
4	3
5+	2

(i) If X is the random variable representing the number of accidents, determine the mean and the variance of this clearly Poisson-like random variable, and con?rm that this is an over-dispersed Poisson variable for which the Poisson population parameter, rather than being constant, varies across the population.

(ii) For over-dispersed Poisson variables such as this, the more appropriate model is the negative binomialNBi(α, p). Determine the method of moments estimates for the unknown parameters α and p for this data set.

Reference no: EM131000816

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