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Limiting Multivariate Distributions of Intermediate Order Statistics [PDF]

open access: bronzeThe Annals of Probability, 1985
Let Z(m,n) represent the mth largest (reverse) order statistic in a random sample of size n from a distribution F. Further let \(m=m(n)\) be an intermediate sequence of (n) in the sense that m/n\(\to 0\) and \(m\to \infty\) as \(n\to \infty\).
Bruce Cooil
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The Sampling Distributions of Statistics Derived From the Multivariate t-Distribution [PDF]

open access: bronzeAustralian Journal of Physics, 1955
The sampling distributions of the more important statistical derivates from the multivariate t-distribution are established.
EA Cornish
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Some Statistical Aspects of the Truncated Multivariate Skew-t Distribution

open access: yesMathematics, 2022
The multivariate skew-t distribution plays an important role in statistics since it combines skewness with heavy tails, a very common feature in real-world data.
Raúl Alejandro Morán-Vásquez   +2 more
doaj   +2 more sources

Asymptotic Distributions of Multivariate Rank Order Statistics [PDF]

open access: bronzeThe Annals of Statistics, 1976
By means of a general weak convergence theorem some invariance principles are proven for the multivariate sequential empirical process and for the multivariate rank order process w.r.t. stronger metrics than the generalized Skorohod metric. The underlying random variables are neither assumed to be independent nor to be stationary.
Ludger Rüschendorf
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Moments of Order Statistics from the Equicorrelated Multivariate Normal Distribution [PDF]

open access: bronzeThe Annals of Mathematical Statistics, 1962
Let $Z_1, Z_2, \cdots, Z_n$ be jointly normally distributed random variables with $EZ_i = 0, EZ^2_i = 1, EZ_iZ_j = \rho, i \neq j, -1/(n - 1) \leqq \rho \leqq 1$. Let the collection of random variables $\{Z_i\}$ be ordered so that $Z^{(1)} \geqq Z^{(2)} \geqq \cdots \geqq Z^{(n)}$.
D. B. Owen, G.P. Steck
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DISTRIBUTIONS OF CERTAIN TEST STATISTICS IN MULTIVARIATE REGRESSION

open access: closed, 1980
This thesis is principally concerned with test criteria for testing different hypotheses for the multivariate regression. In this preface a brief summary of each of the succeeding chapters is given. In Chapter 1 the problem of testing the equality of two population multiple correlation coefficients in identical regression experiments has been studied ...
ΔΗΜΗΤΡΙΟΣ ΚΟΥΤΣΟΥΡΙΔΗΣ
  +7 more sources

Asymptotic distributions of multivariate intermediate order statistics

open access: bronzeТеория вероятностей и ее применения, 1996
Shi Hong Cheng   +5 more
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