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1.
Let Δ
k:n
= X
k,n
− X
k-1,n
(k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X
0,n
= 0 and X
n+1,n
= 1. Obtained from uniform spacings, ordered uniform spacings 0 = Δ0,n
< Δ1,n
< . . . < Δ
n+1,n
, are discussed in the present paper. Distributional and limit results for them are in the focus of our attention. 相似文献
2.
This paper concerns the joint behaviour of precedence and exceedance statistics in random threshold models. Joint distributions of precedence and exceedance statistics, both exact and asymptotic, are obtained, and the results are illustrated for random thresholds based on order statistics and record values. 相似文献
3.
Let K n (a) be the number of observations in the interval (M n ,?a, M n ), where M n is the maximum value in a sequence of size n. We study the asymptotic properties of K n (a) under the F α-scheme and discuss the influence of the associated sequence α n on the limit behaviour of this random variable. 相似文献
4.
Ismihan Bayramoglu 《统计学通讯:理论与方法》2014,43(10-12):2105-2117
The copula representations for conditionally independent random variables and the distribution properties of order statistics of these random variables are studied. 相似文献
5.
Received: October 12, 1999; revised version: April 6, 2000 相似文献
6.
In this paper, we consider some results on distribution theory of multivariate progressively Type‐II censored order statistics. We also establish some characterizations of Freund's bivariate exponential distribution based on the lack of memory property. 相似文献
7.
In this article, we consider the mean remaining strength of a k-out-of-n:F system in the stress–strength setup for the exchangeable components. We provide some results for parallel and series systems under this setup, where X1, X2, …, Xn are the strengths of the components designed under the common stress. An illustrative example is given for the k-out-of- n:F system using the multivariate FGM distribution. 相似文献
8.
New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics 总被引:1,自引:0,他引:1
We consider a generalization of the bivariate Farlie-Gumbel-Morgenstern (FGM) distribution by introducing additional parameters. For the generalized FGM distribution, the admissible range of the association parameter allowing positive quadrant dependence property is shown. Distributional properties of concomitants for this generalized FGM distribution are studied. Recurrence relations between moments of concomitants are presented. 相似文献
9.
A CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS VIA REGRESSION ON PAIRS OF RECORD VALUES 总被引:1,自引:0,他引:1
I. Bairamov M. Ahsanullah Anthony G. Pakes 《Australian & New Zealand Journal of Statistics》2005,47(4):543-547
The exponential type is characterized in terms of the regression of a (possibly non‐linear) function of a record value with its adjacent record values as covariates. Monotone transformations extend this result to more general settings, and these are illustrated with some specific examples. 相似文献
10.