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Communication Dans Un Congrès Année : 2009

Possibility distribution: a unified representation for parameter estimation

Résumé

the paper presents a possibility formulation of one-parameter estimation that unifies some usual probability formulations. Point and confidence interval estimation are unified in a single theoretical formulation and incorporated into estimators of an omnibus form: a possibility distribution. New relationships between continuous possibility distribution and probability concepts are established. The concept of specificity ordering of a possibility distribution is then used for comparing the efficiency of different estimators. The usefulness of the approach is illustrated on mean and median estimators from data sample of different size and of different probability distribution.
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Dates et versions

hal-00651561 , version 1 (13-12-2011)

Identifiants

  • HAL Id : hal-00651561 , version 1

Citer

Gilles Mauris. Possibility distribution: a unified representation for parameter estimation. Int. Fuzzy Systems Association World Congress (IFSA/ EUSFLAT 2009, Jul 2009, Lisbon, Portugal. pp.1589-1594. ⟨hal-00651561⟩
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