An Analytical Characterization of the Exchangeable Wide-Sense Geometric Law
The exchangeable d-variate wide-sense geometric law is uniquely characterized by (d + 1)-monotone sequences of parameters in . The proof of sufficiency in  requires a probabilistic model. We provide an alternative, purely analytical proof of sufficiency of the (d + 1)-monotonicity of a sequence to define admissible parameters of a d-variate wide-sense geometric law.
Keywordsd-monotone sequences exchangeability lack of memory multivariate geometric law rectangular inequalities
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