WSEAS Transactions on Biology and Biomedicine
Print ISSN: 1109-9518, E-ISSN: 2224-2902
Volume 13, 2016
The Estimation of the m Parameter of the Nakagami Distribution
Authors: ,
Abstract: This paper introduces the Nakagami-m distribution which is usually used to simulate the ultrasound image. The gamma distribution is used to derive the moment estimator and the maximum likelihood estimator because the Nakagami distribution has no moment generation function and too complicate likelihood function. The moment estimator of m is normally distributed with a smaller bias and a larger standard deviation. The second order maximum likelihood estimator of m is also normally distributed with a larger bias and a smaller standard deviation. The confidence interval for the ratio of medians from two independent distributions of Nakagami-m estimators is constructed. The moment estimator provides a quick understanding about the m parameter, while the second order maximum likelihood estimator provides a full understanding about the m parameter.
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Keywords: The Nakagami distribution, The moment estimator, The maximum likelihood estimator, The distribution of the Nakagami-m, The ratio of medians
Pages: 67-73
WSEAS Transactions on Biology and Biomedicine, ISSN / E-ISSN: 1109-9518 / 2224-2902, Volume 13, 2016, Art. #9