The asymptotic distributions of statistics based on logarithms of spacings
The Asymptotic Properties of Maximum Likelihood Estimators for Marked Poisson Processes with a Cyclic Intensity Measure.
The Behrens-Fisher Problem, an Old Solution Revisited.
The Berry-Esseen Bound for Minimum Contrast Estimators in the Independent not Identically Distributed Case.
The Berry-Esseen theorem for rank statistics
The Berry-Esséen Theorem for the Subject-Years Method in Mortality Analysis with Censored Data.
The beta Gumbel distribution.
The Bivariate Non-central Negative Binomial Distributions.
The bootstrap of the mean with arbitrary bootstrap sample size
The Bound in the Berry-Esseen Result for Minimum Contrast Estimates.
The Central Limit Theorem for Maximum Likelihood Estimators of Vector Parameters: Locally Uniform Convergence.
The Combined Inverse Binomial Sampling Procedure.
The Density of the Parameter Estimators when the Observations are Distributed Exponentially.
The Distribution Function of a Statistic for Testing the Equality of Scale Parameters in Two Gamma Populations.
The distribution of mathematical expectations of a randomized fuzzy variable.
The Shaffer's definition of the upper and lower expectations of fuzzy variables is considered with respect to randomized fuzzy sets. The notion of randomized fuzzy sets is introduced in order to evaluate fuzzy statistical indices for an arbitrary chosen fuzzy variable. Provided the distribution of the mathematical expectation of a randomized fuzzy variable is known, it is possible to adopt the traditional methods of testing statistical hypotheses for fuzzy variables.We show that this distribution...
The distribution of the estimate of entropy and its applications
The ... -Divergence Statistic in Bivariate Multinomial Populations Including Stratification.
The effect of Gaussian blurring on the extraction of peaks and pits from digital elevation models.
The gamma-uniform distribution and its applications
Up to present for modelling and analyzing of random phenomenons, some statistical distributions are proposed. This paper considers a new general class of distributions, generated from the logit of the gamma random variable. A special case of this family is the Gamma-Uniform distribution. We derive expressions for the four moments, variance, skewness, kurtosis, Shannon and Rényi entropy of this distribution. We also discuss the asymptotic distribution of the extreme order statistics, simulation issues,...
The Heyde theorem on a-adic solenoids
We prove the following analogue of the Heyde theorem for a-adic solenoids. Let ξ₁, ξ₂ be independent random variables with values in an a-adic solenoid and with distributions μ₁, μ₂. Let be topological automorphisms of such that are topological automorphisms of too. Assuming that the conditional distribution of the linear form L₂ = β₁ξ₁ + β₂ξ₂ given L₁ = α₁ξ₁ + α₂ξ₂ is symmetric, we describe the possible distributions μ₁, μ₂.