Complete monotonicity of some entropies

Raşa, Ioan

doi:10.1007/s10998-016-0177-5

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

2019

Publication Types

Select...

Article2

Other1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was conjectured in [11] and proved in several papers (for details see [1], [4], [10], [12], [15], [16] and the references given there) that S n,c is a convex function, i.e.,…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bounds for some entropies and special functions

Barar¹,

Mocanu²,

Raşa³

2018

Preprint

View full text Add to dashboard Cite

We consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of coincidence satisfies a Heun differential equation and is a logarithmically convex function. Combining these facts we get bounds for the index of coincidence, and consequently for Rényi and Tsallis entropies of order 2.

show abstract

“…It was conjectured in [11] and proved in several papers (for details see [1], [4], [10], [12], [15], [16] and the references given there) that S n,c is a convex function, i.e.,…”

Section: Introductionmentioning

confidence: 99%

“…Let us remark that the complete monotonicity for the Shannon entropy H n,c was investigated in [16], and for other entropies in [23].…”

Section: Introductionmentioning

confidence: 99%