Petroleum and Chemical Industry International(PCII)

Applied College, Shaqra University Shaqra, Saudi Arabia

Publications

• Research Article   
  Recursive Standard Deviation Dynamics: Unveiling Asymptotic Stability And The 'Diversity Floor' In Feedback Systems
  Author(s): Eyas Gaffar A. Osman*
  
  This study introduces a novel computational experiment to explore the dynamic behavior of standard deviation within a recursive feedback system, where the computed metric is iteratively appended to its own dataset. Through extensive simulations (50,000 iterations), we demonstrate that standard deviation exhibits a distinct non-linear decay pattern: an initial rapid decline (decay constant k ≈ 0.012) followed by a gradual convergence. Crucially, the standard deviation does not vanish but asymptotically approaches a non-zero, minute value (C ≈ 1.2 × 10-7), which we term the "diversity floor." An exponential decay model, y(x) = 2.71e-0.12x + 1.2 × 10-7 (R2 = 0.98), accurately captures this two-phased behavior, offering a robust empirical framework for feedback-driven dynamics. Contextualized within economic frameworks, our findings provide critical insig.. Read More»
  

  Abstract HTML PDF