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May 18, 2026Open Access

On the Algebraic Restoration of the Pure-Time Argument of Probability

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Authors

JBJuan Ignacio Vázquez Broquá

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Overview

Restores the probability argument in pure time coordinates, indicating fresh insights into statistical methods.

Key Points

  • The aim is to restore Hamilton's probability argument by utilizing a pure-time coordinate system.
  • Applied a single ordinary-least-squares regression on the pure-time basis (yt,∆yt).
  • Demonstrated algebraic equivalence to an autoregressive VAR(2) model.
  • Derived the error-correction matrix and cointegration rank from OLS estimates.
  • Successfully restored Hamilton’s argument for probability in a pure-time coordinate system.
  • Achieved direct emergence of the error-correction matrix from OLS estimates.
  • Linked statistical methods to theoretical foundations in companion papers.

Cite This Study

Juan Ignacio Vázquez Broquá (2026) studied this question.

synapsesocial.com/papers/6a0aad145ba8ef6d83b708d5https://doi.org/10.5281/zenodo.20237554
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