Λ f-statistical convergence of sequences of sets

In this study, the concept of statistical convergence and its applications in mathematical analysis are investigated. Statistical convergence is considered as a generalized form of traditional convergence and is defined using the concept of natural density. In the study, topics such as statistical Cauchy sequence, λ-statistical convergence, Wijsman and Hausdorff convergence of set sequences are discussed in detail. In addition, a new generalization of Wijsman λ-statistical convergence is presented with the help of modulus functions. This study aims to reveal the basic properties and applications of statistical convergence theory. The results of the study have potential applications in areas such as mathematical analysis and probability theory. Keywords: Statistical convergence, Natural density, Cauchy sequences, Modulus function.