Robert Vincent Hogg, Joseph Walter McKean, Allen Thornton Craig. Introduction to Mathematical Statistics, 8th edition (Pearson, 2018)
Chapter 4. Some Elementary Statistical Inferences 제4장. 몇몇 기본적인 통계적 추론
Section 1. Sampling and Statistics 제1절. 표본추출과 통계량
예제(Exercise) 3 및 해설(Solution)
Suppose the number of customers X that visit a store between the hours 9:00 a.m. and 10:00 a.m. follows a Poisson distribution with parameter θ. Suppose a random sample of the number of customers that visit the store between 9:00 a.m. and 10:00 a.m. for 10 days results in the values
9 8 9 15 12 13 12 7 3 12
(a) Determine the maximum likelihood estimate of θ. Show that it is an unbiased estimator.
(b) Based on these data, obtain the realization of your estimator in part (a). Explain the meaning of this estimate in terms of the number of customers.
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