Likelihood estimation for generalized mixed exponential distributions

Carl M. Harris and Edward A. Sykes

Naval Research Logistics (NRL), 1987, vol. 34, issue 2, 251-279

Abstract: The class of functions expressed as linear (not necessarily convex) combinations of negative exponential functions is dense in the set of all square integrable functions on the nonnegative reals. Because of this and resultant mathematical properties, linear combinations of exponential densities have excellent potential for wide application in stochastic modeling. This work documents the development and testing of a practical procedure for maximum‐likelihood estimation for these generalized exponential mixtures. The algorithm offered for the problem is of the Jacobi type and guarantees that the result will provide a legitimate probability function of the prescribed type. Extensive testing has been performed and results are very favorable: convergence is rapid and the use of computer resources rather limited.

Date: 1987
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https://doi.org/10.1002/1520-6750(198704)34:23.0.CO;2-K

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:34:y:1987:i:2:p:251-279

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