On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process
On the limit behavior of a sequence of quantiles of a sample with a random number of items
Some remarks on the extension of a finite set of stochastic automata
Convergence rates for weighted sums of random variables with random indices
On the limit behaviour of sums of a random number of independent random variables
On the rate of convergence in the central limit theorem
Characterizations of power distributions via moments of order statistics and record values
Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.
On order statistics for random sample size having compound binomial and Poisson distributions
On some conditions for the almost everywhere convergence of a class of integrable functions
On domains of attraction of record value distributions
On a family of bayesian estimators and predictors for a Gumbel model based on the kth lower records
Bayesian estimation for the two parameters of a Gumbel distribution are obtained based on kth lower record values. Prediction, either point or interval, for future kth lower record values is also presented from a Bayesian view point. Some of the results of [4] can be obtained as special cases of our results (k=1).
Relations for characteristic functions of k-th record values from generalized Pareto and inverse generalized Pareto distribution
Relations for the marginal, joint, conditional characteristic functions of k-th upper and lower record values from generalized Pareto distribution and inverse generalized Pareto distribution are given.
On classes of couples of characteristic furictions satisfying the condition of Dugué
The article contains no abstract
Goodness-of-fit tests based on characterizations in terms of moments of order statistics
Using characterization conditions of continuous distributions in terms of moments of order statistics given in [12], [23], [6] and [7] we present new goodness-of-fit techniques.
Tests derived from characterizations in terms of moments of record values
We derive tests of fit from characterizations of continuous distributions via moments of the kth upper record values.
Estimation of the parameters of Gumbel and Burr distributions in terms of kth record values
The minimum variance linear unbiased estimators (MVLUE), the best linear invariant estimators (BLIE) and the maximum likelihood estimators (MLE) based on m selected kth record values are presented for the parameters of the Gumbel and Burr distributions.
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