vbnmc
On testing more IFRA ordering
In this paper, first we consider the problem of testing that two unknown distributions
are identical against the alternative that one is more IFRA than the other and propose a
new test that is asymptotically normal and consistent. Next, we prove that beta family
of distributions is ordered according to more IFRA ordering. The empirical power of the
proposed test is simulated for some specific families of distributions like beta, gamma
and Weibull that are ordered with respect to more IFRA order. Finally, we apply our test
to some real data sets in the context of reliability.
libingfei
我看不太懂,试着随便搜搜IFRA,找到如下中文资料。
帮你顶一下。
http://www.360doc.com/content/13/0310/14/4310958_270567279.shtml
jiagangw
IFRA--Increasing Failure Rate Average, 这是在可靠性与寿命分布的研究中引入的关于分布的一个属性。
利用这一概念也可对分布(或随机变量)引入“序(order)”的概念。关于这一概念的概率理论可参见:
M. Shake & J. G. Shanthikumar, "Stochastic Orders". 简要一点也可参见“ENCYCLOPEDIA OF STATISTICAL SCIENCES” 1:60-61.