Student's t- and r-distributions: Unified derivation from an entropic variational principle

被引：43

作者：

deSouza, AMC ^{[1
]}

Tsallis, C ^{[1
]}

机构：

[1] CTR BRASILEIRO PESQUISAS FIS,CNPQ,BR-22290180 RIO JANEIRO,BRAZIL

来源：

PHYSICA A | 1997年 / 236卷 / 1-2期

关键词：

generalized entropy; variational principle; student's t-distribution; r-distribution;

D O I：

10.1016/S0378-4371(96)00395-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The optimization of the recently generalized entropy of the form S-q drop {1 - integral dx [p(x)](q)}/(q - 1) with the constraints integral dx p(x) = 1 and [x(2)]q <triplebond> integral dx x(2)[p(x)](q) = 1 yields the Student's t-distribution for q > 1, and the r-distribution for q < 1.

引用

页码：52 / 57

页数：6