[BOOK][B] Art of progressive censoring

N Balakrishnan, E Cramer - 2014 - Springer
Practitioners and statisticians are often faced with incomplete or censored data. In life
testing, censored samples are present whenever the experimenter does not observe the …

Stochastic orders in reliability and risk

H Li, X Li - Honor of Professor Moshe Shaked. Springer, New York, 2013 - Springer
In summer of 2010, the first author (HL) visited the second author (XL) at Lanzhou University,
China, and chaired the dissertation defense for XL's two graduating doctoral students …

Modeling parameters of a load-sharing system through link functions in sequential order statistics models and associated inference

N Balakrishnan, E Beutner… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
In a multi-sample experiment, we model the parameters of an equal load-sharing system by
means of link functions in sequential order statistics models, and then discuss the estimation …

An application of Kendall distributions and alternative dependence measures: SPX vs. VIX

RL Fountain, JR Herman Jr, DL Rustvold - Insurance: Mathematics and …, 2008 - Elsevier
Most of the recently-defined notions of positive or negative dependence rely upon a variety
of orderings of bivariate random vectors. These orderings are generally partial orders, and …

[HTML][HTML] Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data

N Balakrishnan, F Belzunce, MA Sordo… - Journal of Multivariate …, 2012 - Elsevier
In this paper, we establish some results for the increasing convex comparisons of
generalized order statistics. First, we prove that if the minimum of two sets of generalized …

[HTML][HTML] Study of some measures of dependence between order statistics and systems

J Navarro, N Balakrishnan - Journal of Multivariate Analysis, 2010 - Elsevier
Let X=(X1, X2,…, Xn) be a random vector, and denote by X1: n, X2: n,…, Xn: n the
corresponding order statistics. When X1, X2,…, Xn represent the lifetimes of n components …

Multivariate stochastic comparisons of sequential order statistics

W Zhuang, T Hu - Probability in the Engineering and Informational …, 2007 - cambridge.org
In this article we investigate conditions on the underlying distribution functions on which the
sequential order statistics are based, to obtain stochastic comparisons of sequential order …

[HTML][HTML] Sequential order statistics with an order statistics prior

M Burkschat, U Kamps, M Kateri - Journal of Multivariate Analysis, 2010 - Elsevier
In the model of sequential order statistics, prior distributions are considered for the model
parameters, which, for example, describe increasing load put on remaining components …

Statistical inference for inverted Kumaraswamy distribution based on dual generalized order statistics

AAA EL-Helbawy, GR AL-Dayian… - Pakistan Journal of …, 2020 - pjsor.com
In this paper, the shape parameters, reliability and hazard rate functions of the inverted
Kumaraswamy distribution are estimated using maximum likelihood and Bayesian methods …

[HTML][HTML] Multivariate dependence of spacings of generalized order statistics

M Burkschat - Journal of multivariate analysis, 2009 - Elsevier
Multivariate dependence of spacings of generalized order statistics is studied. It is shown
that spacings of generalized order statistics from DFR (IFR) distributions have the CIS (CDS) …