On certain incomplete statistics

✍ Scribed by J.A.S. Lima; J.R. Bezerra; R. Silva

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 72 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00281-9

✦ Synopsis

The foundations of the incomplete statistics recently proposed by Wang is rediscussed in the context of the canonical statistical ensemble. It is found that the incomplete normalization condition, P p q i ¼ 1 (i ¼ 1; . . . ; w), where p i is the probability of a given microstate, is not compatible with the entropic non-extensive formula proposed by Tsallis. It is proved that the entropic function proposed by Wang