Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/30999 
Erscheinungsjahr: 
2006
Schriftenreihe/Nr.: 
Discussion Paper No. 499
Verlag: 
Ludwig-Maximilians-Universität München, Sonderforschungsbereich 386 - Statistische Analyse diskreter Strukturen, München
Zusammenfassung: 
We consider the following problem: estimate the size of a population marked with serial numbers after only a sample of the serial numbers has been observed. Its simplicity in formulation and the inviting possibilities of application make this estimation well suited for an undergraduate level probability course. Our contribution consists in a Bayesian treatment of the problem. For an improper uniform prior distribution, we show that the posterior mean and variance have nice closed form expressions and we demonstrate how to compute highest posterior density intervals. Maple and R code is provided on the authors' web-page to allow students to verify the theoretical results and experiment with data.
Schlagwörter: 
Bayesian inference
Combinatorics
Hypergeometric functions
Maple
R
Persistent Identifier der Erstveröffentlichung: 
Dokumentart: 
Working Paper

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