\(\mathcal I\)-statistical convergence of a sequence of random variables in probability

DOI10.1007/s13370-013-0142-xzbMath1318.40004OpenAlexW2061560821MaRDI QIDQ471583

Sanjoy Kr. Ghosal

Publication date: 17 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-013-0142-x

zbMATH Keywords

random variable\(\mathcal I\)-statistical convergence\([V,\lambda\) \((\mathcal I)\)-summability]\(\mathcal I\)-\(\lambda\)-statistical convergence\(\mathcal I\)-lacunary statistical convergence

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convergence and divergence of series and sequences of functions (40A30) Ideal and statistical convergence (40A35)

Related Items (5)

Generalized weighted random convergence in probability ⋮ Rough statistical convergence of a sequence of random variables in probability ⋮ Weighted statistical convergence of order \(\alpha\) and its applications ⋮ Different types of quasi-weighted αβ-statistical convergence in probability ⋮ Effects on rough I-lacunary statistical convergence to induce the weighted sequence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Statistical convergence of a sequence of random variables and limit theorems.
• On generalizations of certain summability methods using ideals
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Tauberian theorems via statistical convergence
• Lacunary statistical convergence
• Some approximation theorems via statistical convergence.
• Lacunary statistical convergence and inclusion properties between lacunary methods
• Weak laws of large numbers in geometric probability
• A generalized statistical convergence via ideals
• On statistical limit points
• The Integrability of Certain Functions and Related Summability Methods
• Sur Les Densités de Certaines Suites D'Entiers
• ON STATISTICAL CONVERGENCE
• Statistical convergence in a locally convex space
• Statistical cluster points and turnpike^*
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Über die verallgemeinerte de la Vallée-Poussinsche summierbarkeit allgemeiner Orthogonalreihen
• Sur la convergence statistique
• On statistically convergent sequences of fuzzy numbers

This page was built for publication: \(\mathcal I\)-statistical convergence of a sequence of random variables in probability