Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 08 Oct 2017 My Price 6.00

finite collection of moments,

A distribution cannot be uniquely determined by a finite collection of moments, as this example from Romano and Siegel (1986) shows. Let X have the normal distribution, that is, has pdf

           

Define a discrete random variable Y by

           

Show that

           

(Romano and Siegel point out that for any finite n there exists a discrete, and hence nonnormal, random variable whose first n moments are equal to those of X.)

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Status NEW Posted 08 Oct 2017 10:10 PM My Price 6.00

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