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SuzukiDistribution

SuzukiDistribution
represents the Suzuki distribution with shape parameters and .
Probability density function:
Cumulative distribution function:
Mean and variance:
Probability density function:
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Cumulative distribution function:
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Mean and variance:
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Generate a set of pseudorandom numbers that are Suzuki distributed:
Compare histogram to the PDF:
Distribution parameters estimation:
Estimate the distribution parameters from sample data:
Compare a density histogram of the sample with the PDF of the estimated distribution:
Skewness depends only on the second parameter:
Skewness is an increasing function with limiting values:
Kurtosis depends only on the second parameter:
Kurtosis is an increasing function with limiting values:
Different moments with closed forms as functions of parameters:
Closed form for symbolic order:
Hazard function does not have closed form but can be evaluated numerically:
Quantile function:
In the theory of fading channels, SuzukiDistribution is used to model fading amplitude. Find the distribution of instantaneous signal-to-noise ratio where , is the energy per symbol, and is the spectral density of white noise:
Find the mean:
Find the amount of fading:
Limiting values:
Parameter influence on the CDF for each :
Suzuki distribution is closed under scaling by a positive factor:
Suzuki distribution can be obtained from RayleighDistribution and LogNormalDistribution:
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