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A Maximum Entropy Method for Inverting Laplace Transforms of Probability Density Functions
Udo Wagner and Alois L. J. Geyer
Vol. 82, No. 4 (Dec., 1995), pp. 887-892
Stable URL: http://www.jstor.org/stable/2337353
Page Count: 6
You can always find the topics here!Topics: Laplace transformation, Entropy, Maximum entropy method, Density distributions, Approximation, Lagrangian function, Nonlinear equations, Density estimation, Random variables, Mathematical integrals
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This papers presents a maximum entropy method for inverting Laplace transforms of density functions of positive random variables. The maximum entropy density is very flexible and can assume a variety of different shapes. Accurate approximations to the true density can be obtained even when only a few transform values are available. Numerical evidence is provided for gamma, lognormal, inverse Gaussian and Pareto distributions.
Biometrika © 1995 Biometrika Trust