Inference Problems Involving Moment Determinacy of Distributions

DOI10.1080/03610926.2011.605237zbMath1319.60028OpenAlexW1971169304MaRDI QIDQ3167827

Jordan M. Stoyanov

Publication date: 29 October 2012

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

Full work available at URL: https://eprint.ncl.ac.uk/fulltext.aspx?url=188387/77A7FB90-8B58-45EE-8211-CEBAB2C56554.pdf&pub_id=188387

zbMATH Keywords

mixtureasymmetrydistributionsidentifiabilityStieltjes classproblem of momentsindex of dissimilarity

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Moment problems (44A60)

Related Items (1)

Renewed looks at the distribution of a sum of independent or dependent discrete random variables and related problems

Cites Work

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• Moment-recovered approximations of multivariate distributions: the Laplace transform inver\-sion
• Structure of Stieltjes classes of moment-equivalent probability laws
• Mixtures of power series distributions: identifiability via uniqueness in problems of moments
• Stieltjes moment problem and fractional moments
• Hausdorff moment problem and fractional moments
• Moment information for probability distributions, without solving the moment problem. II: Main-mass, tails and shape approximation
• The cube of a normal distribution is indeterminate
• Density questions in the classical theory of moments
• The moment problem for polynomial forms in normal random variables
• On the moment problems
• Real moments from moments and vice versa
• Krein condition in probabilistic moment problems
• Random motions, classes of ergodic Markov chains and beta distributions
• Method for constructing Stieltjes classes for \(M\)-indeterminate probability distributions
• A moments based distribution bounding method
• Stieltjes classes for M-indeterminate powers of inverse Gaussian distributions
• Remarks on converse Carleman and Krein criteria for the classical moment problem
• The Logarithmic Skew-Normal Distributions are Moment-Indeterminate
• Polya Urn Models
• NECESSARY AND SUFFICIENT CONDITIONS FOR THE REPRESENTABILITY OF A POSITIVE HOMOGENEOUS FUNCTION OF THREE VARIABLES IN THE FORM OF A DIFFERENCE OF CONVEX FUNCTIONS
• Criteria for the Unique Determination of Probability Distributions by Moments
• Stieltjes classes for moment-indeterminate probability distributions
• PRICING A CLASS OF EXOTIC OPTIONS VIA MOMENTS AND SDP RELAXATIONS
• Moment Information for Probability Distributions, Without Solving the Moment Problem. I: Where is the Mode?
• How many moments can be estimated from a large sample?

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