เปรียบเทียบวิธี

	การวิเคราะห์ความน่าเชื่อถือแบบลูกผสม	วิธีการความน่าเชื่อถืออันดับสอง (SORM)
สาขาวิชา	การออกแบบการทดลอง	วิศวกรรมความเชื่อถือได้
ตระกูล	Process / pipeline	Process / pipeline
ปีกำเนิด	1990s–2000s (consolidated formulation ~2000–2006)	1979
ผู้ริเริ่ม	Xiaoping Du, Achintya Haldar, and others; synthesized across structural and mechanical engineering communities	Bernd Fiessler
ประเภท	Quantitative reliability / uncertainty analysis method	Reliability analysis method
แหล่งต้นตำรับ	Du, X., Sudjianto, A., & Huang, B. (2006). Reliability-Based Design With the Mixture of Random and Interval Variables. Journal of Mechanical Design, 127(6), 1068–1076.	Fiessler, B., Neumann, H. J., & Rackwitz, R. (1979). Quadratic limit states in structural reliability. Journal of the Engineering Mechanics Division, 105(4), 661-676.
ชื่อเรียกอื่น	HRA, hybrid uncertainty reliability, combined reliability analysis, probabilistic-possibilistic reliability analysis	SORM, Second-order approximation
ที่เกี่ยวข้อง	4	4
สรุป	Hybrid Reliability Analysis (HRA) quantifies the probability that an engineering system will perform its intended function when uncertain inputs are of two fundamentally different kinds: aleatory uncertainties (natural randomness, modelled with probability distributions) and epistemic uncertainties (lack of knowledge, modelled with intervals or fuzzy sets). By treating both uncertainty types simultaneously rather than collapsing them into a single probabilistic framework, HRA produces more truthful reliability estimates in design, structural, and systems engineering problems.	The Second-Order Reliability Method (SORM) is an extension of FORM that improves failure probability estimates by accounting for the curvature of the limit-state surface at the design point. Introduced by Fiessler, Neumann, and Rackwitz in 1979, SORM provides more accurate approximations for nonlinear failure surfaces while remaining computationally efficient. It has become the standard refinement when FORM accuracy is insufficient.