A model for the transition probability matrices (t.p.m.'s) of finite discrete Markov chains is suggested which may help those who wish to use a larger number of states than would seem reasonable with ...

Zhou began his quest for the solution to this problem with a simple question posed to his introductory probability class for engineering students. In the class, he asked: “What is the probability of ...

Rating-transition-probability models, under the asymptotic single-risk-factor model framework, are widely used in the industry for stress testing and multi-period scenario loss projection. For a ...

Models for the analysis of longitudinal data must recognize the relationship between serial observations on the same unit. Multivariate models with general covariance structure are often difficult to ...

Applying the model to the known Danish case provided some context to the methods developed, and the group notes other interesting trends associated with the probability of lineage extinction.

Financial analysts are fond of using “success probability” models but they’re based on past data with a life that is otherwise perfect.

The Next Gen Stats analytics team explains new advanced metrics for the 2025 NFL season, including Coverage Responsibility ...