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Technometrics Volume 30, 1988 - Issue 2
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Original Articles

Confidence Limits for Stress-Strength Models With Explanatory Variables

I. Guttman Department of Statistics, University of Toronto, Toronto, Ontario, M5S 1Al, Canada
,
R. A. Johnson Department of Statistics, University of Wisconsin, Madison, WI, 53706
,
G. K. Bhattacharyya Department of Statistics, University of Wisconsin, Madison, WI, 53706
&
B. Reiser Department of Statistics, University of Haifa, Haifa, Israel
Pages 161-168 | Published online: 23 Mar 2012

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Tulika Rudra Gupta, Markus Pauly & Somesh Kumar. (2023) Estimating a new stress–strength index for several exponential populations with a common location. Statistics 57:3, pages 669-693.
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Amir Rezaei & Fatemeh Yousefzadeh. (2022) Stress-strength reliability of generalized skew-elliptical distributions and its Bayes estimation. Communications in Statistics - Simulation and Computation 51:7, pages 3471-3486.
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Fatma Gül Akgül & Birdal Şenoğlu. (2022) Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling. Communications in Statistics - Simulation and Computation 51:6, pages 3324-3340.
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Amineh Sadeghpour, Mahdi Salehi & Ahmad Nezakati. (2020) Estimation of the stress–strength reliability using lower record ranked set sampling scheme under the generalized exponential distribution. Journal of Statistical Computation and Simulation 90:1, pages 51-74.
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Nabakumar Jana, Somesh Kumar & Kashinath Chatterjee. (2019) Inference on stress–strength reliability for exponential distributions with a common scale parameter. Journal of Applied Statistics 46:16, pages 3008-3031.
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M. Mahdizadeh & Ehsan Zamanzade. (2018) Smooth estimation of a reliability function in ranked set sampling. Statistics 52:4, pages 750-768.
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Huizhen Guo & K. Krishnamoorthy. (2004) New Approximate Inferential Methods for the Reliability Parameter in a Stress–Strength Model: The Normal Case. Communications in Statistics - Theory and Methods 33:7, pages 1715-1731.
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Samaradasa Weerahandi & RichardA. Johnson. (1992) Testing Reliability in a Stress-Strength Model When X and Y are Normally Distributed. Technometrics 34:1, pages 83-91.
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John I. mccool. (1991) Inference on p{y<x} in the weibull case. Communications in Statistics - Simulation and Computation 20:1, pages 129-148.
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Articles from other publishers (23)

Tulika Rudra Gupta, Markus Pauly & Somesh Kumar. (2023) Estimation of a New Stress Strength Index for One Parameter Exponential Family. IEEE Transactions on Reliability 72:4, pages 1466-1477.
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Menghan Li, Liang Yan, Yaru Qiao, Xia Cai & Khamis K. Said. (2023) Generalized Fiducial Inference for the Stress–Strength Reliability of Generalized Logistic Distribution. Symmetry 15:7, pages 1365.
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Zhanzhong Wang, Xuchao Bai & Jiajun Li. (2022) Modified generalized confidence interval for the stress‐strength reliability from exponentiated Weibull distribution. Concurrency and Computation: Practice and Experience 34:15.
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Xiaofei Wang, Bing Xing Wang, Xin Pan, Yunkai Hu, Yingpei Chen & Junxing Zhou. (2021) Interval estimation for inverse Gaussian distribution. Quality and Reliability Engineering International 37:5, pages 2263-2275.
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Erlis Ruli & Laura Ventura. (2020) Can Bayesian, confidence distribution and frequentist inference agree?. Statistical Methods & Applications 30:1, pages 359-373.
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Isyaku Muhammad, Xingang Wang, Changyou Li, Mingming Yan & Miaoxin Chang. (2020) Estimation of the Reliability of a Stress–Strength System from Poisson Half Logistic Distribution. Entropy 22:11, pages 1307.
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Bing Xing Wang, Pei Hua Jiang & Xiaofei Wang. 2019. Statistical Quality Technologies. Statistical Quality Technologies 277 295 .
Prajamitra Bhuyan, Murari Mitra & Anup Dewanji. (2016) Identifiability issues in dynamic stress–strength modeling. Annals of the Institute of Statistical Mathematics 70:1, pages 63-81.
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Bing Xing Wang, Yanpeng Geng & Jun Xing Zhou. (2018) Inference for the generalized exponential stress-strength model. Applied Mathematical Modelling 53, pages 267-275.
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Debasis Kundu. 2017. Mathematical and Statistical Applications in Life Sciences and Engineering. Mathematical and Statistical Applications in Life Sciences and Engineering 225 245 .
Bing Xing Wang & Zhi-Sheng Ye. (2015) Inference on the Weibull distribution based on record values. Computational Statistics & Data Analysis 83, pages 26-36.
Crossref
Tu XuJunhui Wang & Yixin Fang. (2014) A model‐free estimation for the covariate‐adjusted Youden index and its associated cut‐point. Statistics in Medicine 33:28, pages 4963-4974.
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Maria Filipa Mourão, Ana C. Braga & Pedro Nuno Oliveira. 2014. Computational Science and Its Applications – ICCSA 2014. Computational Science and Its Applications – ICCSA 2014 566 579 .
Giuliana Cortese & Laura Ventura. (2012) Accurate higher-order likelihood inference on $$P(Y<X)$$. Computational Statistics 28:3, pages 1035-1059.
Crossref
Laura Ventura & Walter Racugno. (2011) Recent advances on Bayesian inference for $P(X < Y)$. Bayesian Analysis 6:3.
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Fang Yao, Radu V. Craiu & Benjamin Reiser. (2009) Nonparametric covariate adjustment for receiver operating characteristic curves. Canadian Journal of Statistics 38:1, pages 27-46.
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Michael J. Evans, Irwin Guttman & Tim Swartz. (2006) Optimally and computations for relative surprise inferences. Canadian Journal of Statistics 34:1, pages 113-129.
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David Faraggi. (2003) Adjusting receiver operating characteristic curves and related indices for covariates. Journal of the Royal Statistical Society: Series D (The Statistician) 52:2, pages 179-192.
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Aiyi Liu & Enrique F. Schisterman. (2003) Comparison of Diagnostic Accuracy of Biomarkers With Pooled Assessments. Biometrical Journal 45:5, pages 631-644.
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Mostafa S. Aminzadeh. (1999) Estimation of P(Z<Y) for correlated stochastic time series models. Applied Mathematics and Computation 104:2-3, pages 179-189.
Crossref
Irwin Guttman & George D. Papandonatos. (2008) A bayesian approach to a reliability problem: Theory, analysis and interesting numerics. Canadian Journal of Statistics 25:2, pages 143-158.
Crossref
S. Dahel. (1989) Bias in a stress-strength problem. IEEE Transactions on Reliability 38:3, pages 386-387.
Crossref
Richard A. Johnson. 1988. Quality Control and Reliability. Quality Control and Reliability 27 54 .

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