Rayleigh Distribution - Parameter Estimation

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

Famous quotes containing the word estimation:

    A higher class, in the estimation and love of this city- building, market-going race of mankind, are the poets, who, from the intellectual kingdom, feed the thought and imagination with ideas and pictures which raise men out of the world of corn and money, and console them for the short-comings of the day, and the meanness of labor and traffic.
    Ralph Waldo Emerson (1803–1882)