In this article, we prove that the measures ℚ T associated to the one-dimensional Edwards' model on the interval [0, T] converge to a limit measure ℚ when T goes to infinity, in the following sense: ...

We discuss issues of existence and stochastic modeling in regard to sequences that exhibit combined features of independence and instability of relative frequencies of marginal events. The concept of ...

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

Nevertheless, football remains the ultimate team sport, and attributing a team's overall success solely to who aligns under center is an exercise rife with problematic assumptions. Yet, isolating a ...

Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

Most likely range for 3-month bill yields in 10 years remained in the 0% to 1% range. The probability of being in this range is only 0.02% higher than the probability of the 1% to 2% range.

View the 2025 College Football power index on ESPN. The FPI is the best predictor of a team's performance going forward for ...

The authors propose a formal mathematical measure to assess the versatility (simplicity and adaptability) of parametric frequency and severity distributions before use. They compute and compare the ...

The House passed the spending bill 217-212, with only one Democrat in support, sending the legislation to the Senate, where it is likely to flounder without Democratic support. The measure would ...

Special to The New York Times. TimesMachine is an exclusive benefit for home delivery and digital subscribers. Full text is unavailable for this digitized archive article. Subscribers may view the ...