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In this study, we have introduced the concepts of Wijsman statistical convergence of order $\alpha$, Hausdorff statistical convergence of order $\alpha$ and Wijsman strongly $p$-Ces\`{a}ro summability of order $\alpha$ for double set sequences. Also, we have investigated some properties of these concepts and examined the relationships among them.  

SOME STATISTICAL CONVERGENCE TYPES OF ORDER $\alpha$ FOR DOUBLE SET SEQUENCES