Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Centered MA Dirichlet ARMA for Financial Compositions: Theory & Empirical Evidence

Observation-driven Dirichlet models for compositional time series commonly use the additive log-ratio (ALR) link and include a moving-average (MA) term based on ALR residuals. In the standard Bayesian Dirichlet Auto-Regressive Moving-Average (B-DARMA) recursion, this MA regressor has a nonzero condi

Holy Grail Math 8.5 Rigor 9 ·  October 20, 2025

Directional-Shift Dirichlet ARMA Models for Compositional Time Series with Structural Break Intervention

Compositional time series frequently exhibit structural breaks due to external shocks, policy changes, or market disruptions. Standard methods either ignore such breaks or handle them through fixed effects that cannot extrapolate beyond the sample, or step-function dummies that impose instantaneous

Holy Grail Math 7.5 Rigor 8.5 ·  January 23, 2026

Forecasting the Evolving Composition of Inbound Tourism Demand: A Bayesian Compositional Time Series Approach Using Platform Booking Data

Understanding how the composition of guest origin markets evolves over time is critical for destination marketing organizations, hospitality businesses, and tourism planners. We develop and apply Bayesian Dirichlet autoregressive moving average (BDARMA) models to forecast the compositional dynamics

Holy Grail Math 6.5 Rigor 8.5 ·  February 20, 2026

Slomads Rising: Stay Length Shifts in Digital Nomad Travel, United States 2019-2024

Using all U.S. Airbnb reservations created in 2019-2024 (booking-count weighted), we quantify pandemic-era shifts in nights per booking (NPB) and the mechanism behind them. The mean rose from 3.68 pre-COVID to 4.36 during restrictions and stabilized near 4.07 post-2021 (about 10% above 2019); the bo

Holy Grail Math 7 Rigor 8 ·  July 28, 2025

Impact by design: translating Lead times in flux into an R handbook with code

This commentary translates the central ideas in Lead times in flux into a practice ready handbook in R. The original article measures change in the full distribution of booking lead times with a normalized L1 distance and tracks that divergence across months relative to year over year and to a fixed

Holy Grail Math 5 Rigor 7 ·  November 16, 2025

Coupled Supply and Demand Forecasting in Platform Accommodation Markets

Tourism demand forecasting is methodologically mature, but it typically treats accommodation supply as fixed or exogenous. In platform-mediated short-term rentals, supply is elastic, decision-driven, and co-evolves with demand through pricing, information design, and interventions. I reframe the cor

Philosophers Math 3.5 Rigor 3 ·  February 28, 2026

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