International Day Of Women in Statistics and Data Science: Full Schedule

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13:00 UTC

S114 - Fractional Statistical Models via Operator Theory: A Data-Driven Framework for Aviation Analytics

Tuesday October 6, 2026 13:00 - 13:30 UTC

Classical statistical models are built upon an assumption of short-range dependence — an assumption that fails dramatically when confronted with the complexity of real-world aviation datasets. Such datasets routinely exhibit long-range memory, non-stationarity, and heavy-tailed distributions that render conventional approaches inadequate. In this work, we propose a novel fractional statistical framework that draws on advanced operator theory to directly address these challenges, offering both rigorous theoretical guarantees and compelling empirical improvements over established baselines.
We construct a family of Toeplitz-type estimators grounded in the theory of α-fractional Bergman spaces, establish their theoretical properties, validate the framework on a large-scale aviation dataset comprising over 500,000 UAE flight records, and demonstrate prediction error reductions of 23–31% over ARIMA and 14–18% over LSTM-based approaches.

Speakers

Raja'a Alnaimi

emirates aviation university

Dr. Raja’a Al-Naimi is an Assistant Professor in the Department of Mathematics
and Data Science at Emirates Aviation University (EAU), Dubai, UAE. She holds
expertise in operator theory, fractional calculus, and functional analysis, with active
research programs in α-fracti... Read More →

Organizers

Raja'a Alnaimi

emirates aviation university

Tuesday October 6, 2026 13:00 - 13:30 UTC
Zoom Room #1

Plenary Talk

Country United Arab Emirates
Session ID 114

International Day Of Women in Statistics and Data Science

13:00 UTC

Raja'a Alnaimi

Raja'a Alnaimi

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