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Communications in Statistics - Theory and Methods Volume 40, 2010 - Issue 1
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Original Articles

Tolerance Intervals for the Distribution of the Difference Between Two Independent Normal Random Variables

K. Krishnamoorthy Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana, USACorrespondence[email protected]
,
Xiaodong Lian Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana, USA
&
Sumona Mondal Department of Mathematics, Clarkson University, Potsdam, New York, USA
Pages 117-129 | Received 21 Dec 2008, Accepted 04 Oct 2009, Published online: 24 Sep 2010

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Chieh Chiang, Yi-Hsuan Lai, Bo-Han Huang, Wen-Jin Guo, Yuh-Jenn Wu, Lien-Cheng Chang & Chin-Fu Hsiao. (2020) Use of a tolerance interval approach as a statistical quality control tool for traditional Chinese medicine. Journal of Biopharmaceutical Statistics 30:5, pages 873-881.
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Sungtaek Son, Minkyung Oh, Minjoo Choo, Shein-Chung Chow & Sang Joon Lee. (2020) Some thoughts on the QR method for analytical similarity evaluation. Journal of Biopharmaceutical Statistics 30:3, pages 521-536.
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A. Kiapour & M. Naghizadeh Qomi. (2017) Equal-tailed and shortest Bayesian tolerance intervals based on exponential -records. Communications in Statistics - Theory and Methods 46:8, pages 3949-3956.
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Articles from other publishers (10)

Gwowen Shieh. (2022) Determining reference ranges and sample sizes in parallel-group studies. PLOS ONE 17:11, pages e0278447.
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Alexis Oliva & Matías Llabrés. (2021) Limitations of the quality range approach in analytical similarity assessment: Effect of mean shift and relative variability. Journal of Pharmaceutical and Biomedical Analysis 198, pages 114017.
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Chieh Chiang, Chi‐Tian Chen & Chin‐Fu Hsiao. (2020) Use of a two‐sided tolerance interval in the design and evaluation of biosimilarity in clinical studies. Pharmaceutical Statistics 20:1, pages 175-184.
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Chian Chen & Chin‐Fu Hsiao. (2020) Use of tolerance intervals for assessing biosimilarity. Statistics in Medicine 39:26, pages 3806-3822.
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Baocai Guo, Naifan Zhu, Wei Wang & Hsiuying Wang. (2020) Constructing exact tolerance intervals for the exponential distribution based on record values. Quality and Reliability Engineering International 36:7, pages 2398-2410.
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Patcharee Maneerat, Sa‐Aat Niwitpong & Suparat Niwitpong. (2020) Bayesian confidence intervals for the difference between variances of delta‐lognormal distributions. Biometrical Journal 62:7, pages 1769-1790.
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Patcharee Maneerat, Sa-aat Niwitpong & Suparat Niwitpong. (2020) A Bayesian approach to construct confidence intervals for comparing the rainfall dispersion in Thailand. PeerJ 8, pages e8502.
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S.M.T.K. MirMostafaee & M. Naghizadeh Qomi. (2018) A note on computing Bayesian tolerance intervals in exponential distribution based on $k$-record values. Novi Sad Journal of Mathematics 49:1, pages 23-31.
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Jason J. Z. Liao. 2016. Nonclinical Statistics for Pharmaceutical and Biotechnology Industries. Nonclinical Statistics for Pharmaceutical and Biotechnology Industries 675 694 .
Jason J.Z. LiaoPatrick F. Darken. (2012) Comparability of critical quality attributes for establishing biosimilarity. Statistics in Medicine 32:3, pages 462-469.
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