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Estimating Parametric Models of Probability Distributions

Dilip B. Madan ()
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Dilip B. Madan: University of Maryland

Methodology and Computing in Applied Probability, 2015, vol. 17, issue 3, 823-831

Abstract: Abstract Noting that risk neutral distributions are estimated by minimizing the squared deviations between market and model option prices we consider using option payoff moments in estimating distributional parameters from a sample of observations. It is observed, in particular when compared to maximum likelihood estimation, that digital option payoff moments yield the lowest chisquare statistics for a test of uniformity for data transformed to the unit interval by the estimated distribution function.

Keywords: Moment estimators; Digital options; Variance gamma; Double gamma model; 62-07; 62P25 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11009-014-9409-4

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