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A Classroom Approach to the Construction of an Approximate Confidence Interval of a Poisson Mean Using One Observation
Stockholm University, Faculty of Social Sciences, Department of Statistics.
2015 (English)In: American Statistician, ISSN 0003-1305, E-ISSN 1537-2731, Vol. 69, no 3, 160-164 p.Article in journal (Refereed) Published
Abstract [en]

Even elementary statistical problems may give rise to a deeper and broader discussion of issues in probability and statistics. The construction of an approximate confidence interval for a Poisson mean turns out to be such a case. The simple standard two-sided Wald confidence interval by normal approximation is discussed and compared with the score interval. The discussion is partly in the form of an imaginary dialog between a teacher and a student, where the latter is supposed to have studied mathematical statistics for at least one semester.

Place, publisher, year, edition, pages
2015. Vol. 69, no 3, 160-164 p.
Keyword [en]
Score statistic, Skewness, Symmetric confidence interval, Wald statistic
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:su:diva-120006DOI: 10.1080/00031305.2015.1056830ISI: 000369810100002OAI: oai:DiVA.org:su-120006DiVA: diva2:850068
Available from: 2015-08-31 Created: 2015-08-31 Last updated: 2017-12-04Bibliographically approved

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