Modeling Parameters of a Load-Sharing System Through Link Functions in Sequential Order Statistics Models and Associated Inference

被引：30

作者：

Balakrishnan, Narayanaswamy ^{[1
]}

Beutner, Eric ^{[2
]}

Kamps, Udo ^{[3
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Maastricht Univ, Dept Quantitat Econ, NL-6200 MD Maastricht, Netherlands

[3] Rhein Westfal TH Aachen, Inst Stat, D-52056 Aachen, Germany

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2011年 / 60卷 / 03期

关键词：

Equal load-sharing model; link function; maximum likelihood estimation; minimum variance unbiased estimation; plug-in estimates; RESIDUAL LIFE;

D O I：

10.1109/TR.2011.2161152

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 of these parameters based on a given link function. Different link functions are examined along with the corresponding maximum likelihood estimators, and their properties are studied both analytically and through Monte Carlo simulations.

引用

页码：605 / 611

页数：7

共 18 条

[1]

[Anonymous], 2004, COMPUTING SYSTEMS RE

[2] On the Mean Residual Life Function of Coherent Systems [J].

Asadi, M. ;

Goliforushani, S. .

IEEE TRANSACTIONS ON RELIABILITY, 2008, 57 (04) :574-580

[3] Order restricted inference for sequential k-out-of-n systems [J].

Balakrishnan, N. ;

Beutner, E. ;

Kamps, U. .

JOURNAL OF MULTIVARIATE ANALYSIS, 2008, 99 (07) :1489-1502

[4] On multivariate dispersion orderings based on the standard construction [J].

Belzunce, Felix ;

Ruiza, Jose M. ;

Suarez-Llorens, Alfonso .

STATISTICS & PROBABILITY LETTERS, 2008, 78 (03) :271-281

[5] Nonparametric inference for sequential k-out-of-n systems [J].

Beutner, Eric .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2008, 60 (03) :605-626

[6] Nonparametric model checking for k-out-of-n systems [J].

Beutner, Eric .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (03) :626-639

[7] Linear Estimators and Predictors Based on Generalized Order Statistics from Generalized Pareto Distributions [J].

Burkschat, M. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (02) :311-326

[8] Log-concavity of generalized order statistics [J].

Chen, Huaihou ;

Xie, Hongmei ;

Hu, Taizhong .

STATISTICS & PROBABILITY LETTERS, 2009, 79 (03) :396-399

[9] Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates [J].

Cramer, E ;

Kamps, U .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1996, 48 (03) :535-549

[10] Estimation with sequential order statistics from exponential distributions [J].

Cramer, E ;

Kamps, U .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2001, 53 (02) :307-324

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