共查询到6条相似文献,搜索用时 4 毫秒
1.
Subhash KocharMaochao Xu 《Journal of statistical planning and inference》2011,141(1):418-428
Two sufficient conditions for comparing convolutions of heterogeneous gamma random variables in terms of star order are established. It is further shown that if the scale parameters of heterogeneous gamma random variables are more dispersed in the sense of majorization, then the convolutions are more dispersed according to the right spread order, which generalizes and strengthens the results in Diaconis and Perlman (1987), Kochar and Xu (2010) and Zhao and Balakrishnan (2009). 相似文献
2.
In this paper, we investigate ordering properties of lifetimes of parallel systems with two independent heterogeneous exponential components in terms of the mean residual life order. We establish, among others, that the reciprocal majorization order between parameter vectors implies the mean residual life order between the lifetimes of two parallel systems. We then extend this result to the proportional hazard rate models. 相似文献
3.
In this paper, we study the estimation of the vitality function(v(x)=E(X|X>x) and mean residual life function(e(x)=E(X-x|X>x) from a sample ofX using the empirical estimator and kernel estimator. Under suitable conditions of regularity, the asymptotic normality of
the kernel estimator is obtained.
Partially supported by Consejeria de Cultura y Ed. (C.A.R.M.), under Grant PIB 95/90. 相似文献
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5.
Mohammad Khanjari Sadegh 《Journal of statistical planning and inference》2011,141(9):3267-3275
This article investigates some properties of the mean residual life function of (n−k+1)-out-of-n systems, when the lifetimes of the system components are independent random variables but not necessarily identically distributed and when the joint distribution of the component lifetimes is exchangeable, extending the results of Asadi and Goliforushani (2008) [On the mean residual life function of coherent systems. IEEE Transactions on Reliability 57 (4) 574-580] for the case of independent and identically distributed components. The extension to a coherent system with exchangeable components is also given. 相似文献
6.
Tests of fit for exponentiality based on a characterization via the mean residual life function 总被引:1,自引:1,他引:0
We study two new omnibus goodness of fit tests for exponentiality, each based on a characterization of the exponential distribution
via the mean residual life function. The limiting null distributions of the tests statistics are the same as the limiting
null distributions of the Kolmogorov-Smirnov and Cramér-von Mises statistics proposed when testing the simple hypothesis that
the distribution of the sample variables is uniform on the interval [0, 1].
Work supported by the Deutsche Forschungsgemeinschaft 相似文献