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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 16, 1984 - Issue 3
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Modified Moment Estimation for the Three-Parameter Weibull Distribution

A. Clifford CohenThe University of Georgia, Athens, Georgia30602View further author information
,
Betty Jones WhittenThe University of Georgia, Athens, Georgia30602View further author information
&
Yihua DingChina Electronic Reliability & Environmental Institute, P.O. Box 1252, Guangzhou, ChinaView further author information
Pages 159-167 | Published online: 22 Feb 2018

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Kiran Prajapat, Sharmishtha Mitra & Debasis Kundu. (2023) A consistent method of estimation for three-parameter generalized exponential distribution. Communications in Statistics - Simulation and Computation 52:6, pages 2471-2487.
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Yalan Li & Ancha Xu. (2016) Fiducial inference for Birnbaum-Saunders distribution. Journal of Statistical Computation and Simulation 86:9, pages 1673-1685.
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Kamran Abbas & Yincai Tang. (2015) Analysis of Frechet Distribution Using Reference Priors. Communications in Statistics - Theory and Methods 44:14, pages 2945-2956.
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Hideki Nagatsuka & N. Balakrishnan. (2015) An Efficient Method of Parameter and Quantile Estimation for the Three-Parameter Weibull Distribution Based on Statistics Invariant to Unknown Location Parameter. Communications in Statistics - Simulation and Computation 44:2, pages 295-318.
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Artur J. Lemonte, Alexandre B. Simas & Francisco Cribari-Neto. (2008) Bootstrap-based improved estimators for the two-parameter Birnbaum–Saunders distribution. Journal of Statistical Computation and Simulation 78:1, pages 37-49.
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Hideo Hirose & Tze Leung Lai. (1997) Inference From Grouped Data in Three-Parameter Weibull Models With Applications to Breakdown-Voltage Experiments. Technometrics 39:2, pages 199-210.
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H. Hirose. (1995) Parameter Estimation In The Extreme-Value Distributions. International Journal of Modelling and Simulation 15:4, pages 141-147.
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Douglas C. Montgomery & Sheila R. Voth. (1994) Multicollinearity and Leverage in Mixture Experiments. Journal of Quality Technology 26:2, pages 96-108.
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A. Clifford Cohen & Betty Jones Whitten. (1986) Modified Moment Estimation for the Three-Parameter Gamma Distribution. Journal of Quality Technology 18:1, pages 53-62.
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A. Clifford Cohen & Betty Jones Whitten. (1985) Modified Moment Estimation for the Three-Parameter Inverse Gaussian Distribution. Journal of Quality Technology 17:3, pages 147-154.
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A. Clifford Cohen, Betty Jones Whitten & Yihua Ding. (1985) Modified Moment Estimation for the Three-Parameter Lognormal Distribution. Journal of Quality Technology 17:2, pages 92-99.
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Tahira Kanwal & Kamran Abbas. (2023) Bootstrap confidence intervals of process capability indices Spmk, Spmkc and Cs for Frechet distribution. Quality and Reliability Engineering International.
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Rajan Chattamvelli & Ramalingam Shanmugam. 2021. Continuous Distributions in Engineering and the Applied Sciences – Part II. Continuous Distributions in Engineering and the Applied Sciences – Part II.
Fan Yang, Hu Ren & Zhili Hu. (2019) Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy. Mathematical Problems in Engineering 2019, pages 1-8.
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N. Balakrishnan & Debasis Kundu. (2018) Birnbaum‐Saunders distribution: A review of models, analysis, and applications. Applied Stochastic Models in Business and Industry 35:1, pages 4-49.
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A. Clifford Cohen. 2016. Truncated and Censored Samples. Truncated and Censored Samples 30 30 .
Jeffrey T. Fong, N. Alan Heckert, James J. Filliben, Pedro V. MarcalStephen W. Freiman. (2015) A New Approach to Finding a Risk-Informed Safety Factor for “Fail-Safe” Pressure Vessel and Piping Design. Applied Mechanics and Materials 750, pages 3-23.
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Hideki Nagatsuka, Toshinari Kamakura & N. Balakrishnan. (2013) A consistent method of estimation for the three-parameter Weibull distribution. Computational Statistics & Data Analysis 58, pages 210-226.
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Larissa Santana Barreto, Audrey H.M.A. Cysneiros & Francisco Cribari-Neto. (2013) Improved Birnbaum–Saunders inference under type II censoring. Computational Statistics & Data Analysis 57:1, pages 68-81.
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Bing Xing Wang. (2012) Generalized interval estimation for the Birnbaum–Saunders distribution. Computational Statistics & Data Analysis 56:12, pages 4320-4326.
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MAHDI TEIMOURI & SARALEES NADARAJAH. (2012) A SIMPLE ESTIMATOR FOR THE WEIBULL SHAPE PARAMETER. International Journal of Structural Stability and Dynamics 12:02, pages 395-402.
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Gbadebo Owolabi, Benedict Egboiyi, Li Shi & Horace Whitworth. (2011) Microstructure-dependent fatigue damage process zone and notch sensitivity index. International Journal of Fracture 170:2, pages 159-173.
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Artur J. Lemonte & Silvia L.P. Ferrari. (2011) Testing hypotheses in the Birnbaum–Saunders distribution under type-II censored samples. Computational Statistics & Data Analysis 55:7, pages 2388-2399.
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Tony Halim, Kanesan Muthusamy, Shao-Wei Lam & Sie-Yong Chia. (2010) Review and classification of reliability statistical models exhibiting failure-free life characteristic. Review and classification of reliability statistical models exhibiting failure-free life characteristic.
Shao-Wei Lam, Tony Halim & Kanesan Muthusamy. (2010) Models With Failure-Free Life—Applied Review and Extensions. IEEE Transactions on Device and Materials Reliability 10:2, pages 263-270.
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Ancha Xu & Yincai Tang. (2010) Reference analysis for Birnbaum–Saunders distribution. Computational Statistics & Data Analysis 54:1, pages 185-192.
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S.-W. Lam. (2009) Models With Failure Free Life - Applied Review and Extensions. IEEE Transactions on Device and Materials Reliability.
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Audrey H.M.A. Cysneiros, Francisco Cribari-Neto & Carlos A.G. AraújoJr.Jr.. (2008) On Birnbaum–Saunders inference. Computational Statistics & Data Analysis 52:11, pages 4939-4950.
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Artur J. Lemonte, Francisco Cribari-Neto & Klaus L.P. Vasconcellos. (2007) Improved statistical inference for the two-parameter Birnbaum–Saunders distribution. Computational Statistics & Data Analysis 51:9, pages 4656-4681.
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H.K.T. Ng, D. Kundu & N. Balakrishnan. (2006) Point and interval estimation for the two-parameter Birnbaum–Saunders distribution based on Type-II censored samples. Computational Statistics & Data Analysis 50:11, pages 3222-3242.
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Chin-Diew Lai, D.N. Murthy & Min Xie. 2006. Springer Handbook of Engineering Statistics. Springer Handbook of Engineering Statistics 63 78 .
Wan-Kai Pang, Ping-Kei Leung, Wei-Kwang Huang & Wei Liu. (2005) On interval estimation of the coefficient of variation for the three-parameter Weibull, lognormal and gamma distribution: A simulation-based approach. European Journal of Operational Research 164:2, pages 367-377.
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H.K.T. Ng, D. Kundu & N. Balakrishnan. (2003) Modified moment estimation for the two-parameter Birnbaum–Saunders distribution. Computational Statistics & Data Analysis 43:3, pages 283-298.
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Gary Wasserman. 2002. Reliability Verification, Testing, and Analysis in Engineering Design. Reliability Verification, Testing, and Analysis in Engineering Design.
Peter R. Nelson & K.B. Kulasekera. 2001. Advances in Reliability. Advances in Reliability 749 775 .
N. Balakrishnan & Jun Wang. (2000) Simple efficient estimation for the three-parameter gamma distribution. Journal of Statistical Planning and Inference 85:1-2, pages 115-126.
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N. Balakrishnan & Jun Wang. 2000. Advances in Stochastic Simulation Methods. Advances in Stochastic Simulation Methods 373 384 .
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Krishnamurty Muralidhar & Stelios H. Zanakis. (1992) A Simple Minimum-Bias Percentile Estimator of the Location Parameter for the Gamma, Weibull, and Log-Normal Distributions. Decision Sciences 23:4, pages 862-879.
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Hideo Hirose. (1991) Percentile point estimation in the three parameter Weibull distribution by the extended maximum likelihood estimate. Computational Statistics & Data Analysis 11:3, pages 309-331.
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