An analytical characterization of the exchangeable wide-sense geometric law
Pages contribution:
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Abstract:
The exchangeable d-variate wide-sense geometric law is uniquely characterized by (d+1)-monotone sequences of parameters in [Mai, Scherer and Shenkman (2012)]. The proof of sufficiency in [Mai, Scherer and Shenkman (2012)] 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.