2015/10/08 by Nobuki Takayama, Satoshi Kuriki, Takayama, Nobuki +3
Environmental Science · Mathematics · #33C65 #33C90 #62H12 #62H17 #Advanced Statistical Methods and Models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Hydrology and Drought Analysis #Mathematical functions and polynomials #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.1510.02269
openalex publication_date 2015/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a bijection between a quotient space of the parameters and the space of moments for any A-hypergeometric distribution. An algorithmic method to compute the inverse image of the map is proposed utilizing the holonomic gradient method and an asymptotic equivalence of the map and the iterative proportional scaling. The algorithm gives a method to solve a conditional maximum likelihood estimation problem in statistics. Our interplay between the theory of hypergeometric functions and statistics gives some new formulas of A-hypergeometric polynomials.