Estimation of exponential-polynomial distribution by holonomic gradient descent

DOI10.1080/03610926.2014.968735zbMath1349.60013arXiv1403.7852OpenAlexW1494027144MaRDI QIDQ2834639

Jumpei Hayakawa, Akimichi Takemura

Publication date: 23 November 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7852

zbMATH Keywords

score testalgebraic statisticsbivariate distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items (4)

Characterizations of non-normalized discrete probability distributions and their application in statistics ⋮ Minimum L^q‐distance estimators for non‐normalized parametric models ⋮ Holonomic extended least angle regression ⋮ On the fractional moments of a truncated centered multivariate normal distribution

Cites Work

• Properties and applications of Fisher distribution on the rotation group
• The holonomic gradient method for the distribution function of the largest root of a Wishart matrix
• Holonomic gradient descent and its application to the Fisher-Bingham integral
• A holonomic systems approach to special functions identities
• Likelihood ratio tests for positivity in polynomial regressions
• Discriminants, resultants, and multidimensional determinants
• Incomplete A-Hypergeometric Systems
• Gröbner Bases
• A Maximum Likelihood Approach to Density Estimation with Semidefinite Programming

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