This review paper explores statistical methodologies for analyzing network characteristics, dimensioning, parameter estimation, and cost prediction of optical networks, and provides a generalized framework based on the idea of convex areas, and link length and shortest. This review paper explores statistical methodologies for analyzing network characteristics, dimensioning, parameter estimation, and cost prediction of optical networks, and provides a generalized framework based on the idea of convex areas, and link length and shortest. Optical networks serve as the backbone of modern communication, requiring statistical analysis and modeling to optimize performance, reliability, and scalability. 2 contains definitions of the statistical and non-linear parameters of single-mode fibre and cable. 2 was approved on 13 January 2005 by ITU-T. To ensure optical cables meet performance standards over their expected lifespan, several testing methods are employed: Accelerated Aging Tests: Simulate prolonged environmental conditions to predict long-term performance. Selected aspects of the theory of measurement uncertainty, the determination of standard uncertainty of type A, type B, total and expanded were discussed.