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A transformation of a parameter governing a response distribution that is used as a crucial part of the generalized linear model to map that parameter's range (which may be from 0 to 1, or only positive values, e.g.) to the real number line $(-\infty, +\infty)$.

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GEV distribution: nonstationary location sign changes when adding nonstationary scale parameter in MLE

I am trying to estimate the location, scale and shape for a nonstationary GEV distribution with block maxima. HRindex is the yearly maximum daily rainfall. I used following code in R to achieve ...
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Link function of Gamma distribution?

So if I understand correctly, the link function $g(\mu)$ is supposed to transform the range of $\mu$ to $(-\infty, \infty)$ and $g(\mu) = \mu^{-1}$ is a link for the Gamma distribution. But doesn't ...
25 views

Poisson regression with custom offset and link

I have the following model $$Y \sim \operatorname{Poisson}\left(\frac{1}{1+\exp(\beta X)} E\right)$$ In other words, I have count data for Poisson process with exposure E and rate given by the ...
24 views

Interprete GLMM Estimates with log link

i am relatively new to this field and this is my first time using Generalized Linear Mixed-Effects Model. my response variable is Reaction Time (RT) and i have two fixed effects: prime and type. both ...
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Model/link function to deal with dependent variable in range [-1,1]?

My dependent variable, $Y$, contains values anywhere from -1 to 1 (i.e. it is bounded continuously on the range $[-1,1]$). I know that a regular OLS regression on such a variable would sometimes ...
27 views

Log transformation vs. log link function: Analysing proportional differences

I'm analysing the effect of rhizobial inoculation, fertilisation, and species identity on plant shoot weight. The two species I'm studying have different mean weights, so I'm mostly interested in ...
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