%0 Journal Article %T Orlicz-Lacunary convergent double sequences and their applications to statistical convergence %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Raj, Kuldip %A Sharma, Charu %A Jasrotia, Swati %D 2022 %\ 01/01/2022 %V 8 %N 1 %P 102-114 %! Orlicz-Lacunary convergent double sequences and their applications to statistical convergence %K $g$-statistical convergence %K strongly almost convergence %K $n$-norm %K strongly $p$-Cesaro summability %R 10.22034/kjm.2021.272612.2173 %X In this article, we introduce and study Orlicz lacunary convergent double sequences over $n$-normed spaces. We define the notion of $g_{2}$-statistical convergence in double sequence spaces. We study some topological and algebraic properties of newly formed sequence spaces. Some inclusion relations are also establish in this paper. Finally, we study some applications of statistical convergence in these spaces. %U https://www.kjm-math.org/article_144199_418bb1b7288f816dcc95958648acc832.pdf