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

共 43 条

[1]

ALEMANY PA, 1994, PHYS REV E, V49, P956

[2] REMARKS ON THE BEHAVIOR OF THE ISING CHAIN IN THE GENERALIZED STATISTICS [J].

ANDRADE, RFS .

PHYSICA A, 1994, 203 (3-4) :486-494

[3]

ANDRADE RFS, 1991, PHYSICA A, V175, P185

[4] Generalized simulated annealing algorithms using Tsallis statistics: Application to conformational optimization of a tetrapeptide [J].

Andricioaei, I ;

Straub, JE .

PHYSICAL REVIEW E, 1996, 53 (04) :R3055-R3058

[5] Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics [J].

Boghosian, BM .

PHYSICAL REVIEW E, 1996, 53 (05) :4754-4763

[6] A FRACTAL APPROACH TO ENTROPY AND DISTRIBUTION-FUNCTIONS [J].

BUYUKKILIC, F ;

DEMIRHAN, D .

PHYSICS LETTERS A, 1993, 181 (01) :24-28

[7] IRREVERSIBLE THERMODYNAMICS IN THE FRAMEWORK OF TSALLIS ENTROPY [J].

CACERES, MO .

PHYSICA A, 1995, 218 (3-4) :471-481

[8]

Cannas SA, 1996, NETWORK-COMP NEURAL, V7, P141, DOI [10.1088/0954-898X/7/1/009, 10.1080/0954898X.1996.11978659]

[9] THE FLUCTUATION DISSIPATION THEOREM IN THE FRAMEWORK OF THE TSALLIS STATISTICS [J].

CHAME, A ;

DEMELLO, EVL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :3663-3670

[10]

CURADO EME, 1991, J PHYS A-MATH GEN, V24, P3187

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