## Independent random utility representations

Autor(en): | Suck, R |

Stichwörter: | BINARY CHOICE-PROBABILITIES; Business & Economics; Economics; LINEAR ORDERING POLYTOPE; Mathematical Methods In Social Sciences; Mathematics; Mathematics, Interdisciplinary Applications; mixtures; random utility; Social Sciences, Mathematical Methods |

Erscheinungsdatum: | 2002 |

Herausgeber: | ELSEVIER SCIENCE BV |

Journal: | MATHEMATICAL SOCIAL SCIENCES |

Volumen: | 43 |

Ausgabe: | 3 |

Startseite: | 371 |

Seitenende: | 389 |

Zusammenfassung: | The question of the existence of independent random variables which represent a given set of binary choice data is investigated. It is related to the linear ordering polytope. The subset of it which is independently representable, denoted by I-LO(H), is characterized for three elements. For the general case, necessary conditions are given and their geometric meaning is discussed. A procedure, called mixture technique, is developed which allows one to construct a new point in I-LO(H). and its independent representation from known points in Finally, a few results on parametric representations are derived. (C) 2002 Elsevier Science B.V. All rights reserved. |

Beschreibung: | Conference and Workshop on Random Utility and Probabilistic Measurement Theory, DUKE UNIV, FUQUA SCH BUSINESS, DURHAM, NORTH CAROLINA, AUG 03-08, 2000 |

ISSN: | 01654896 |

DOI: | 10.1016/S0165-4896(02)00020-3 |

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