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The Growth of Bayesian Methods in Statistics and Economics Since 1970
Bayesian impact Journals
2009/9/21
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...
On the restricted convergence of the intermediate and central terms of order statistics
Order statistics intermediate value distributions weak convergence
2009/9/21
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...
Almost sure convergence of the distributional limit theorem for order statistics
Almost sure convergence distributional limit theorem order statistics
2009/9/21
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...
TSALEIS' ENTROPY BOUNDS FOR GENERALIZED ORDER STATISTICS
Generalized order statistics order statistics progressive type I1 censored order statistics
2009/9/21
We present sharp bounds for expectations of generalized
order statistics with random indices expressed in terms of Tsallis'
entropy. The bounds are attainable and provide new characterizations
of s...
A NOTE ON THE ALMOST SURE CONVERGENCE OF CENTRAL ORDER STATISTICS
Central order statistics almost sure limit theorem summation methods
2009/9/18
We prove almost sure versions of distributional limit
theorems for central order statistics. We develop a new method which
not only gives a simplified proof of existing results in the literature, bu...
Copula Associated to Order Statistics。
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples
Limiting Copula Order Statistics Distributed Samples
2009/9/17
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples。
Almost sure convergence of extreme order statistics
almost sure convergence order statistics
2009/9/16
Let $M_{n}^{(k)}$ denote the $k$th largest maximum of a sample $(X_{1},X_{2}, \ldots, X_{n})$ from parent $X$ with continuous distribution. Assume there exist normalizing constants $a_{n}>0$, $b_{n}in...
《The Electronic Journal of Statistics》 (EJS)
The Electronic Journal of Statistics research articles short notes
2009/9/16
The Electronic Journal of Statistics (EJS) publishes research articles and short notes in theoretical, computational and applied statistics. The journal is open access. Articles are refereed and are h...
《PROBABILITY AND MATHEMATICAL STATISTICS》
PROBABILITY AND MATHEMATICAL STATISTICS original contributions the theory of probability and mathematical statistics
2009/9/16
PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by Wrocław University and Wrocław U...
Tail behaviour of multiple random integrals and $U$-statistics
multiple Wiener--Itô integrals (degenerate) $U$-statistics large-deviation type estimates diagram formula
2009/5/18
This paper contains sharp estimates about the distribution of multiple random integrals of functions of several variables with respect to a normalized empirical measure, about the distribution of $U$-...
On exchangeable random variables and the statistics of large graphs and hypergraphs
random variables large graphs large hypergraphs
2009/5/18
In this survey we recall the basic results of the theory of exchangeable laws, and then explain the probabilistic versions of various interesting questions from graph and hypergraph theory that their ...
The Law of Large Numbers for U-statistics Under Absolute Regularity
Law of large numbers U-statistics absolute regularity
2009/5/8
We prove the law of large numbers for U-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($beta$-mixing condition) under suboptimal conditions.
Asymptotics for Products of Sums and U-statistics
central limit theorem lognormal distribution products of sums records U-statistics
2009/4/29
The product of subsequent partial sums of independent, identically distributed, square integrable, positive random variables is asymptotically lognormal. The result extends in a rather routine way to ...
Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
random matrices largest eigenvalues Poisson statistics
2009/4/28
We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.