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Is a bivariate copula relevant in this physics setting manifesting uniform univariate marginals--and, if so, how can it be constructed?
minor formatting of Mathematica formulas
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Is a bivariate copula relevant in this physics setting manifesting uniform univariate marginals--and, if so, how can it be constructed?
Reference given at end to a study of quantum copulas.
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Is a bivariate copula relevant in this physics setting manifesting uniform univariate marginals--and, if so, how can it be constructed?
Added parenthetical phrase concerning the first three figures
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Is a bivariate copula relevant in this physics setting manifesting uniform univariate marginals--and, if so, how can it be constructed?
Added parenthetical phrase concerning the first three figures
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Is a bivariate copula relevant in this physics setting manifesting uniform univariate marginals--and, if so, how can it be constructed?
Additional plot added at end and "univariate" added to title
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What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
Plot included of the residuals from a weighted least-squares fit of the Ali-Mikhail-Haq model
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Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
S. E. --Thanks very much for your detailed comments!
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What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
I must admit that for some time I was thinking of copula in its PDF representation rather than the CDF. However, I'm still asking for assistance either in newly constructing a copula PDF with the requested "repulsion" property, or being directed to some "standard" one already exhibiting this property (at least possibly for some particular parameter values, if a family of copulas).
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What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
whuber--does this comment extend as well to the pdf, my principal focus of analysis? In any case, I'm interested in models, in which strong repulsion (relatively low values) is shown for x = y, if still not over the entire line.