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I have a problem with selecting a threshold for a dataset I cannot show here. In a MRL-plot, a suitable threshold should be linear with the gradient ξ/(1−ξ) and intercept σ_u/(1−ξ) (as of my understanding).

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And a parameter stability plot

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Based on the parameter stability-plot a stable threshold would be around 0.09-0.10. And if I use the coefficiants of the fitted GDP based on a threshold of 0.09, I get the following "line" in the MRL-plot:

enter image description here

Is this a suitable threshold?

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