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Original Articles

Some Normal Approximations for Renewal Function of Large Weibull Shape Parameter

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Pages 1-16 | Published online: 02 Sep 2006

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Read on this site (7)

R. Jiang & Zhigao Chen. (2020) A practical approximation of Weibull renewal function for solving relevant optimization problems. Quality Engineering 32:3, pages 333-341.
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Viswanathan Arunachalam & Álvaro Calvache. (2015) Approximation of the Bivariate Renewal Function. Communications in Statistics - Simulation and Computation 44:1, pages 154-167.
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Conghua Cheng, Jinyuan Chen & Haiqing Zhao. (2013) Estimation of the generalized exponential renewal function. Journal of Statistical Computation and Simulation 83:8, pages 1570-1583.
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NirmalS. Kambo, Alagar Rangan & Ehsan Moghimi Hadji. (2012) Moments-Based Approximation to the Renewal Function. Communications in Statistics - Theory and Methods 41:5, pages 851-868.
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Tongdan Jin & Lakshmana S. Gonigunta. (2010) Exponential approximation to Weibull renewal with decreasing failure rate. Journal of Statistical Computation and Simulation 80:3, pages 273-285.
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Tongdan Jin & Lakshmana Gonigunta. (2008) Weibull and Gamma Renewal Approximation Using Generalized Exponential Functions. Communications in Statistics - Simulation and Computation 38:1, pages 154-171.
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Lun Ran, Lirong Cui & M. Xie. (2006) Some Analytical and Numerical Bounds on the Renewal Function. Communications in Statistics - Theory and Methods 35:10, pages 1815-1827.
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Articles from other publishers (17)

R. Jiang. (2019) Two approximations of renewal function for any arbitrary lifetime distribution. Annals of Operations Research 311:1, pages 151-165.
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Youlong Wu, Sidra Younas, Kamran Abbas, Amjad Ali & Sajjad Ahmad Khan. (2020) Monitoring Reliability for Three-Parameter Frechet Distribution Using Control Charts. IEEE Access 8, pages 71245-71253.
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R. Jiang. (2020) A novel two-fold sectional approximation of renewal function and its applications. Reliability Engineering & System Safety 193, pages 106624.
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Tongdan Jin. 2019. Reliability Engineering and Service. Reliability Engineering and Service 211 257 .
Hassan Soltan. (2019) Advances in Control Charts for Reliability. Advances in Control Charts for Reliability.
Franz J. Lanyi, Peter Kunzelmann & Dirk W. Schubert. (2016) Novel Chart for Representation of Material Performance and Reliability. Macromolecular Symposia 365:1, pages 194-202.
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Viswanathan Arunachalam, Alvaro Calvache & Ayşe Tansu. (2015) Some Useful Approximations for the Availability Function. International Journal of Reliability, Quality and Safety Engineering 22:02, pages 1550008.
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Shaomin Wu. (2014) Warranty return policies for products with unknown claim causes and their optimisation. International Journal of Production Economics 156, pages 52-61.
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Saeed Maghsoodloo & Dilcu Helvaci. (2014) Renewal and Renewal-Intensity Functions with Minimal Repair. Journal of Quality and Reliability Engineering 2014, pages 1-10.
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Vasileios Pappas, Konstantinos Adamidis & Sotirios Loukas. (2012) A Family of Lifetime Distributions. International Journal of Quality, Statistics, and Reliability 2012, pages 1-6.
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Behzad Ghodrati. 2011. Replacement Models with Minimal Repair. Replacement Models with Minimal Repair 225 269 .
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithMarlin U. Thomas. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
R. Jiang. (2010) A simple approximation for the renewal function with an increasing failure rate. Reliability Engineering & System Safety 95:9, pages 963-969.
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R. Jiang. (2009) A simple approximation of the Weibull renewal function. A simple approximation of the Weibull renewal function.
Barış Sürücü & Hakan S. Sazak. (2009) Monitoring reliability for a three-parameter Weibull distribution. Reliability Engineering & System Safety 94:2, pages 503-508.
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R. Jiang. (2008) A Gamma–normal series truncation approximation for computing the Weibull renewal function. Reliability Engineering & System Safety 93:4, pages 616-626.
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Sophie Mercier. (2007) Discrete random bounds for general random variables and applications to reliability. European Journal of Operational Research 177:1, pages 378-405.
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