Characterization of Uniform Distributions by Inequalities of Chernoff-Type

Characterization of Uniform Distributions by Inequalities of Chernoff-Type

A Chernoff-type inequality is obtained for uniform distribution on [-1,1]. Subsequently, uniform distribution is characterized among all distributions on [-1,1] having symmetric unimodal densities via this inequality.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Sankhya. Series A 1990-10, Vol.52 (3), p.376-382
Hauptverfasser: Purkayastha, Sumitra, Bhandari, Subir Kumar
Format: Artikel
Sprache:eng
Schlagworte:
Continuous functions
Gaussian distributions
Probabilities
Random variables
Statistical variance
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A Chernoff-type inequality is obtained for uniform distribution on [-1,1]. Subsequently, uniform distribution is characterized among all distributions on [-1,1] having symmetric unimodal densities via this inequality.
ISSN:0581-572X