A lower bound for Fisher's information measure

被引：17

作者：

Plastino, A

Plastino, AR

Miller, HG

Khanna, FC

机构：

[1] UNIV ALBERTA,DEPT PHYS,INST THEORET PHYS,EDMONTON,AB T6G 2J1,CANADA

[2] TRIUMF,VANCOUVER,BC V6T 2A3,CANADA

[3] NATL UNIV LA PLATA,DEPT PHYS,RA-1900 LA PLATA,ARGENTINA

[4] NATL UNIV LA PLATA,ASTRON & GEOPHYS FAC,RA-1900 LA PLATA,ARGENTINA

来源：

PHYSICS LETTERS A | 1996年 / 221卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(96)00560-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For systems of particles that are in a general state of motion a lower bound to Fisher's information measure is derived with the help of a recently established upper bound to the entropy increase. This bound to the information measure is the basis for a variational principle devised to determine unknown probability distributions. A simple example illustrates this idea.

引用

页码：29 / 33

页数：5

共 50 条

[41] A Discrepancy Lower Bound for Information Complexity
Braverman, Mark
Weinstein, Omri
ALGORITHMICA, 2016, 76 (03) : 846 - 864
[42] Fisher information and Tukey's linear sensitivity measure based on ordered ranked set samples
Balakrishnan, N.
Li, T.
ADVANCES IN DISTRIBUTION THEORY, ORDER STATISTICS, AND INFERENCE, 2006, : 187 - +
[43] On Fisher's Lower Bound to Asymptotic Variance of a Consistent Estimate (vol 15, pg 331, 1955)
Kallianpur, G.
Rao, C. Radhakrishna
SANKHYA, 1955, 16 : 206 - 206
[44] Deng-Fisher information measure and its extensions: Application to Conway's Game of Life
Kharazmi, Omid
Contreras-Reyes, Javier E.
CHAOS SOLITONS & FRACTALS, 2023, 174
[45] RLD Fisher information bound for multiparameter estimation of quantum channels
Katariya, Vishal
Wilde, Mark M.
NEW JOURNAL OF PHYSICS, 2021, 23 (07):
[46] Fisher's measure of variability in repeated samples
Da Silva, Poly H.
Jamshidpey, Arash
McCullagh, Peter
Tavare, Simon
BERNOULLI, 2023, 29 (02) : 1166 - 1194
[47] Fisher order measure and Petri's universe
Frieden, B. Roy
Plastino, A.
Plastino, A. R.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (07) : 2300 - 2305
[48] Fisher information as a generalized measure of coherence in classical and quantum optics
Luis, Alfredo
OPTICS EXPRESS, 2012, 20 (22): : 24686 - 24698
[49] Quantum Fisher information on its own is not a valid measure of the coherence
Kwon, Hyukjoon
Tan, Kok Chuan
Choi, Seongjeon
Jeong, Hyunseok
RESULTS IN PHYSICS, 2018, 9 : 1594 - 1595
[50] Fisher Information and Complexity Measure of Generalized Morse Potential Model
C.A.Onate
J.O.A.Idiodi
Communications in Theoretical Physics, 2016, 66 (09) : 275 - 279

← 1 2 3 4 5 →