Parameter Estimation
Given N independent and identically distributed Rayleigh random variables with parameter, the maximum likelihood estimate of is
An application of the estimation of can be found in magnetic resonance imaging (MRI). As MRI images are recorded as complex images but most often viewed as magnitude images, the background data is Rayleigh distributed. Hence, the above formula can be used to estimate the noise variance in an MRI image from background data.
Read more about this topic: Rayleigh Distribution
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