Log concavity preservation by beta operator based on probability tools

DOI10.1016/j.jmaa.2023.127122OpenAlexW4321206921MaRDI QIDQ2701286

Carmen Sangüesa, Hyunju Lee, Francisco German Badía

Publication date: 28 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127122

zbMATH Keywords

beta-type operators log concave function bivariate likelihood ratio stochastic order Dirichlet bivariate distribution log concavity preservation

Mathematics Subject Classification ID

Distribution theory (60Exx) Approximations and expansions (41Axx) Statistical distribution theory (62Exx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Log-concavity and strong log-concavity: a review
Log-convexity and log-concavity of hypergeometric-like functions
Stochastic orders
On the preservation of log convexity and log concavity under some classical Bernstein-type operators
Approximation properties of beta operators
Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
Logconcavity versus logconvexity: A complete characterization
Beta-type operators preserve shape properties
Inverse beta and generalized Bleimann-Butzer-Hahn operators
Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators
Bernstein-Durrmeyer operators
On the property of monotonic convergence for Beta operators
Log-concavity preserving property of Bernstein operators and Bernstein semigroup
Preservation of ageing classes in deterioration models with independent increments
Log-concavity for Bernstein-type operators using stochastic orders
On Stancu-Mühlbach operators and some connected problems concerning probability distributions
Log-concave probability and its applications
Normalized incomplete beta function: log-concavity in parameters and other properties
Operatoren vom Bernsteinschen Typ
A Bayesian analysis of some nonparametric problems
Life Distribution Properties of Devices Subject to a Lévy Wear Process
Life distribution properties of devices subject to a pure jump damage process
Bivariate characterization of some stochastic order relations
PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS
STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS
On some Turán-type inequalities forq-special functions
On a new positive linear polynomial operator
Inequalities: theory of majorization and its applications

This page was built for publication: Log concavity preservation by beta operator based on probability tools