Displaying similar documents to “Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics”

Unbiased estimators of multivariate discrete distributions and chi-square goodness-of-fit test.

Mikhail S. Nikulin, Vassiliy G. Voinov (1993)

Qüestiió

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We consider the problem of estimation of the value of a real-valued function u(θ), θ = (θ, ..., θ), on the basis of a sample from non-truncated or truncated multivariate Modified Power Series Distributions. Using the general theory of estimation and the results of Patil (1965) and Patel (1978) we give the tables of MVUE's for functions of parameter θ of trinomial, multinomial, negative-multinomial and left-truncated modified power series distributions. We have applied the properties...

Estimating median and other quantiles in nonparametric models

Ryszard Zieliński (1995)

Applicationes Mathematicae

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Though widely accepted, in nonparametric models admitting asymmetric distributions the sample median, if n=2k, may be a poor estimator of the population median. Shortcomings of estimators which are not equivariant are presented.

Estimation of intersection intensity in a Poisson process of segments

Tomáš Mrkvička (2007)

Commentationes Mathematicae Universitatis Carolinae

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The minimum variance unbiased estimator of the intensity of intersections is found for stationary Poisson process of segments with parameterized distribution of primary grain with known and unknown parameters. The minimum variance unbiased estimators are compared with commonly used estimators.