3 papers
math.ST2026
G-Exponential Families through Probability Coordinates
Manuela-Simona Cojocea
We develop a probability geometric construction of generalized exponential families based on probability coordinate charts. A classical exponential family on the unit interval is t…
stat.ME2026
Statistical Inference for Probability Barycenters and Kolmogorov Moments
Manuela-Simona Cojocea
A probability coordinate chart is a continuous strictly increasing bijection that transports observations to the open unit interval, where averaging is always well defined. For bar…
math.PR2026
Chart-Generated Probability Geometry and Kolmogorov Expectations
Manuela-Simona Cojocea
This paper develops a geometric reinterpretation of probability in which a cumulative distribution function is not used merely as a passive coordinate label, but as a generator of…