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Maximum likelihood estimation of parameters in multiexponential fits when data follow Poisson distribution

✍ Scribed by T Sandor; G.D Wilson

Publisher: Elsevier Science
Year: 1972
Weight: 319 KB
Volume: 2
Category: Article
ISSN: 0010-468X
DOI: 10.1016/0010-468x(72)90042-6

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✦ Synopsis

A computer program is described which uses the maximum likelihood method to fit data which obey Poisson fluctuation with the following function

N = ~Avex p (-art).

The program provides a simultaneous optimum estimation of the parametersA v, and a v v = 1, 2 ..... p and their variances. For the assessment of the goodness of fit the values of X 2 and o, the residual variance, are also computed.

A complete discussion of the problem is given in Sandor et al., and the same methods of estimation are used in the program.

Maximum likelihood

Curve fitting Poisson distribution 1. Computational methods

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