Stochastically larger component of a random vector

  • Takemi Yanagimoto
  • Masaaki Sibuya


Definitions of different strengths are given to the notion of ‘a stochastically larger component of a two-dimensional random vector.’ Some of them reduce to the known definitions of stochastic order relationship when the components are stochastically independent. The definitions and the approach are related to nonparametric problems.


Random Vector Measurable Subset Stochastic Order Independent Case Finite Markov Chain 
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Copyright information

© Institute of Statistical Mathematics 1972

Authors and Affiliations

  • Takemi Yanagimoto
  • Masaaki Sibuya

There are no affiliations available

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