Interval-valued quantification of the inequality associated with a random set

✍ Scribed by Hortensia López-Garcı́a; Miguel López-Dı́az; Marı́a Angeles Gil

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 119 KB
• Volume: 46
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(99)00100-5

✦ Synopsis

In this paper we formalize the measurement of the inequality associated with a (compact convex) random set, by considering this last notion to model interval-valued random variables whose values are allowed to overlap, and extending the well-known family of the Gastwirth inequality indices. We analyze the fundamental properties of the extended indices and illustrate their use.