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The paper investigates noncommutative sequential tests. There are defined consistency and uniform consistency of such. tests, and then sufficient and necessary conditions-for the test to be consist...
Characterisations of the geometric distribution using distributional properties of the order statistics
On a limit theorem and invariance principle for symmetric statistics
The domain of attraction of stable laws and extreme order statistics
U-functions of concomitants of order statistics
We prove Edgeworth expansions for degenerate von Mises statistics like the Beran, Watson, and Cram&-von Mises goodness-of-fit statistics. Furthermore, we show that the bootstrap approximation works...
In the classical approach to pseudorandom number generators, a generator is considered to perform well if its output sequences pass a battery of statistical tests that has h o m e standard. In rece...
Consider an ordered sample that is selected from a finite population successively without replacement and with probability proportional to some measure of size. In this paper, we study the asymptot...
This paper is a sequel to Brands and Gill [5] which contained an introduction to the cryptographic theory of random number generation. Here we give a detailed analysis of the QR-generator.
Bayesian inference is one of the more controversial approaches to statistics. The fundamental objections to Bayesian methods are twofold: on one hand, Bayesian methods are presented as an automatic ...
We study the appraxhatioa by a short mgeworth expmdon of the distribution functian of no of order sratistim of n indewdent random vitriabIes with common diswibutian fmction F. Under the wumptians ...
Let {x, Xd, 1 d j d m., n 3 1) be independent and identically distributed random variables with the Pareto distribution. Let X,,, be the k-th largest order statistic from the n-th row of our array....
To measure the impact of Bayesian reasoning, this paper investigates theoccurrence of two words, Byes and Byesian, since 1970 in journal articles in a variety of disciplines, with a focus on economi...
As the distribulivn function (dd) of the suitably normalized general intermediate (or central) term of order statistics converges on an interval [c, dl to an arbitrary nondecreasing function, the c...
Let X,, n 2 1, be a sequence of independent and identically distributed rmdom variables and X,,, < X,,, < . . . < X,, denote the order statistics of Xi,.. ., X,. For any sequenoe 01 integers {k,) w...

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