A mathematical model for the lottery.
Unbiased estimators of multivariate discrete distributions and chi-square goodness-of-fit test.
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 of MVUE's and...
On the problem of the means of weighted normal populations.
An analytical problem, which arises in the statistical problem of comparing the means of two normal distributions, the variances of which -as well as their ratio- are unknown, is well known in the mathematical statistics as the Behrens-Fisher problem. One generalization of the Behrens-Fisher problem and different aspect concerning the estimation of the common mean of several independent normal distributions with different variances are considered and one solution is proposed.
A review of the results on the Stein approach for estimators improvement.
Since 1956, a large number of papers have been devoted to Stein's technique of obtaining improved estimators of parameters, for several statistical models. We give a brief review of these papers, emphasizing those aspects which are interesting from the point of view of the theory of unbiased estimation.
Les correccions de continuïtat en distribucions binomial i Poisson, i la correcció de Yates en el test khi-quadrat en taules de contingència 2x2.
Este artículo desarrolla y comenta diversas correcciones de continuidad a las aproximaciones normal y chi-cuadrado de algunas distribuciones discretas.
Goodness-of-fit test for the family of logistic distributions.
Chi-squared goodness-of-fit test for the family of logistic distributions id proposed. Different methods of estimation of the unknown parameters θ of the family are compared. The problem of homogeneity is considered.
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