An extended Laha-Lukacs characterization result based on a regression property

✍ Scribed by E.B. Fosam; D.N. Shanbhag

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 704 KB
• Volume: 63
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(97)00009-8

✦ Synopsis

This note gives an extended version of the Laha Lukacs characterization result based ~,n a regression property, subsuming the Letac Mora characterization of the natural exponential families of distributions with variances as cubic functions of means. It also makes relevant comments on the existing literature and points out, amongst other things, that certain known characterization results on power series distributions are corollaries to analoguous resuhs on exponential families. ({ 1997 Elsevier Science B.V.