Understanding Gamma Distributed RV: Finding Shape and Scale Parameters

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The discussion focuses on determining the shape and scale parameters of a gamma distributed random variable (RV) given the equation γ = (||h||²P)/N₀, where h is a column vector of Nakagami-m distributed RVs. Participants clarify that the inquiry pertains to extracting these parameters from the provided mathematical expression rather than estimating them from data. The conversation emphasizes the mathematical relationship between the gamma distribution and the Nakagami-m distribution in the context of random variables.

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EngWiPy
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Hello,

When writting a gamma distributed RV we need to know the shape and scale parameters. How to find the value of these parameters?

Thanks in advance
 
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What do you mean by find these parameters? Do you wish to estimate the parameters of a gamma distribution from some data?
 
Focus said:
What do you mean by find these parameters? Do you wish to estimate the parameters of a gamma distribution from some data?

No, I meant if we are given the equation of the gamma distributed RV, how to find these parameters from this equation? Mathematically:
\gamma = \frac{\|\mathbf{h}\|^2P}{N_0}
where \mathbf{h} is a column vector of Nakagami-m distributed RVs. Then how to find the scale and shape parameters from this equation?
 

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