Refining estimation techniques for the Two-Sided Power Distribution: A data-sensitive perspective.

ABSTRACT: This study proposes a novel method aimed at achieving more reliable parameter estimates for the Two-Sided Power Distribution (TSPD), particularly under small-sample conditions. The proposed approach enhances the flexibility and data sensitivity of the distribution by redefining it as a convex combination of two independent uniform components. A new estimation formula is introduced for the probability [Formula: see text], which holds critical importance in fields such as system reliability and stress-strength modeling. Compared to classical theoretical expressions, this new formulation produces more accurate and stable results in small-sample settings. Simulation studies and real-data applications demonstrate that the proposed method reduces estimation error and yields values closer to empi

SUBMITTER: Gural Y 

PROVIDER: S-EPMC12829937 | biostudies-literature | 2026

REPOSITORIES: biostudies-literature