Uncertain Paternity, Power Utility, and Fractional Moments: The Case of Binomially Distributed Reproductive Success

Dirk Bethmann

No 2104, Discussion Paper Series from Institute of Economic Research, Korea University

Abstract: Newton’s Theorem is used derive a formular for the fractional moment of the binomial distribution. The formular is general enough to handle a continuous number of draws and thereby facilitates the analysis of representative agent models where discrete quantities are typically reflected by continuous variables. An application of the formular illustrates that it is easily implemented and can be quickly calculated using standard mathematical software.

Keywords: Uncertain Paternity; Binomial Distribution; Expected Power Utility; Fractional Moment; Newton’s Theorem. (search for similar items in EconPapers)
JEL-codes: D10 J11 J13 (search for similar items in EconPapers)
Date: 2021
New Economics Papers: this item is included in nep-ene and nep-ore
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Journal Article: Uncertain Paternity, Power Utility, and Fractional Moments: The Case of Binomially Distributed Reproductive Success (2022)
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