
arXiv: 1709.01210
Expressions are given for the truncated fractional moments $E X_+^p$ of a general stable law. These involve families of special functions that arose out of the study of multivariate stable densities and probabilities. As a particular case, an expression is given for $E(X-a)_+$ when $α> 1$.
truncated moments, Characteristic functions; other transforms, stable distribution, 60E07, Probability (math.PR), FOS: Mathematics, Infinitely divisible distributions; stable distributions, fractional moments, Mathematics - Probability
truncated moments, Characteristic functions; other transforms, stable distribution, 60E07, Probability (math.PR), FOS: Mathematics, Infinitely divisible distributions; stable distributions, fractional moments, Mathematics - Probability
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