On a Generalization of the Classical Random Sampling Scheme and Unbiased Estimation

DOI10.1080/03610920601033793zbMath1109.62039OpenAlexW1968630942MaRDI QIDQ3436013

Ya. P. Lumel'skii, Vassily Voinov, Paul D. Feigin, Mikhail S. Nikulin

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/03610920601033793

zbMATH Keywords

Wishart distributionunbiased estimatorsmultivariate discrete distributionsmultivariate Poisson distributionmultivariate Pólya distributiongeneralized random sampling schememultivariate negative Pólya distributionprobabilities of linear inequalities

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Sampling theory, sample surveys (62D05)

Related Items (2)

Approximate Confidence Limits for the Difference between Parameters of Two Pólya Distributions ⋮ Approximate Confidence Limits for a Proportion of the Pólya Distribution

Cites Work

• Multidimensional Poisson walks
• On completeness of plans in one scheme of random walks
• Estimation of the scale matrix and its eigenvalues in the Wishart and the multivariate \(F\) distributions
• Tables of the best possible unbiased estimates for functions of parameters of multinomial and negative multinomial distributions
• Improved estimation of parameter matrices in one-sample and two-sample problems
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