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Regular version of the site

Article

Equivalence of Network Structures in Networks of Random Variables with Known and Unknown Shift Parameter

Journal of Mathematical Sciences. 2020. Vol. 248. No. 1. P. 129-137.

It is proved that sign network with elliptical distribution with known shift parameter is equivalent
to sign network with elliptical distribution with unknown shift parameter estimated as sample mean.
This result is proved for the case of independent identically distributed observation and for the case
of sample from matrix elliptically contoured distribution with any dependence between observations.