Research output: Contribution to journal › Article › peer-review
Comparison of Four Methods for Processing Data on Exponential Decay. / Danilova, T. A.; Krylov, I. R.; Razumova, M. Yu.
In: Optics and Spectroscopy (English translation of Optika i Spektroskopiya), Vol. 88, No. 3, 2000, p. 327-333.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Comparison of Four Methods for Processing Data on Exponential Decay
AU - Danilova, T. A.
AU - Krylov, I. R.
AU - Razumova, M. Yu
PY - 2000
Y1 - 2000
N2 - Using the decay of a single exponential function to a nonzero level as an example, the following numerical methods for determining lifetimes are considered: the least-squares method, the differentiation method, and two modifications of the method of moments. Domains of efficient application of one method or the other, depending on the form of the noise distribution, are determined on the basis of computer simulation in parameter space of the problem. For the Poisson noise distribution, a domain of parameters is found, where the error of determining the decay rate in the method of moments is smaller than in the least-squares method.
AB - Using the decay of a single exponential function to a nonzero level as an example, the following numerical methods for determining lifetimes are considered: the least-squares method, the differentiation method, and two modifications of the method of moments. Domains of efficient application of one method or the other, depending on the form of the noise distribution, are determined on the basis of computer simulation in parameter space of the problem. For the Poisson noise distribution, a domain of parameters is found, where the error of determining the decay rate in the method of moments is smaller than in the least-squares method.
UR - http://www.scopus.com/inward/record.url?scp=21144439093&partnerID=8YFLogxK
U2 - 10.1134/1.626797
DO - 10.1134/1.626797
M3 - Article
VL - 88
SP - 327
EP - 333
JO - OPTICS AND SPECTROSCOPY
JF - OPTICS AND SPECTROSCOPY
SN - 0030-400X
IS - 3
ER -
ID: 5168663