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Original Articles

Bias reduction by taylor series Footnote

Pages 2369-2383 | Received 01 Apr 1987, Published online: 27 Jun 2007

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Read on this site (3)

Christopher S. Withers & Saralees Nadarajah. (2023) Bias reduction for standard and extreme estimates. Communications in Statistics - Simulation and Computation 52:4, pages 1264-1277.
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GaryW. Oehlert. (1992) A Note on the Delta Method. The American Statistician 46:1, pages 27-29.
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C. S. Withers. (1990) Shrinkage estimates based on orthogonal decomposition of the sample space. Communications in Statistics - Theory and Methods 19:2, pages 505-526.
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Articles from other publishers (24)

C. S. Withers. (2024) 5th-Order Multivariate Edgeworth Expansions for Parametric Estimates. Mathematics 12:6, pages 905.
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Christopher Withers & Saralees Nadarajah. (2023) Expansions for posterior distributions. Brazilian Journal of Probability and Statistics 37:1.
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Stefano Antonio Gattone, Francesca Fortuna, Adelia Evangelista & Tonio Di Battista. (2022) Simultaneous confidence bands for the functional mean of convex curves. Econometrics and Statistics 24, pages 183-193.
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Christopher S Withers & Saralees Nadarajah. (2020) The distribution and percentiles of channel capacity for multiple arrays. Sādhanā 45:1.
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Francesca Fortuna, Stefano Antonio Gattone & Tonio Di Battista. (2020) Functional estimation of diversity profiles. Environmetrics 31:8.
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Jiantao Jiao & Yanjun Han. (2020) Bias Correction With Jackknife, Bootstrap, and Taylor Series. IEEE Transactions on Information Theory 66:7, pages 4392-4418.
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Kirk Bansak. (2019) Comparative Causal Mediation and Relaxing the Assumption of No Mediator–Outcome Confounding: An Application to International Law and Audience Costs. Political Analysis 28:2, pages 222-243.
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Jiantao Jiao, Yanjun Han & Tsachy Weissman. (2018) Minimax Estimation of the <inline-formula> <tex-math notation="LaTeX">$L_{1}$ </tex-math> </inline-formula> Distance. IEEE Transactions on Information Theory 64:10, pages 6672-6706.
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Lucy E. Morgan, Barry L. Nelson, Andrew C. Titman & David J. Worthington. (2017) Detecting bias due to input modelling in computer simulation. Detecting bias due to input modelling in computer simulation.
Christopher S. Withers & Saralees Nadarajah. (2015) Bias reduction when data are rounded. Statistica Neerlandica 69:3, pages 236-271.
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Jiantao Jiao, Kartik Venkat, Yanjun Han & Tsachy Weissman. (2015) Minimax Estimation of Functionals of Discrete Distributions. IEEE Transactions on Information Theory 61:5, pages 2835-2885.
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Christopher S. Withers & Saralees Nadarajah. (2015) Estimators for a Class of Power Series Families. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 45:2, pages 145-162.
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Christopher S. Withers & Saralees Nadarajah. (2013) Asymptotic properties of $$M$$ M -estimators in linear and nonlinear multivariate regression models. Metrika 77:5, pages 647-673.
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Christopher S. Withers & Saralees Nadarajah. (2014) Cumulants of multinomial and negative multinomial distributions. Statistics & Probability Letters 87, pages 18-26.
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Christopher S. Withers & Saralees Nadarajah. (2013) Delta and jackknife estimators with low bias for functions of binomial and multinomial parameters. Journal of Multivariate Analysis 118, pages 138-147.
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Christopher S. Withers & Saralees Nadarajah. (2012) Calibration with low bias. Statistical Papers 54:2, pages 371-379.
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Christopher S. Withers & Saralees Nadarajah. (2010) Unbiased estimates for a lognormal regression problem and a nonparametric alternative. Metrika 75:2, pages 207-227.
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Christopher S. Withers & Saralees Nadarajah. (2011) Unbiased estimates for moments and cumulants in linear regression. Journal of Statistical Planning and Inference 141:12, pages 3867-3875.
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Christopher S. Withers & Saralees Nadarajah. (2011) Estimates of low bias for the multivariate normal. Statistics & Probability Letters 81:11, pages 1635-1647.
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Christopher S. Withers & Saralees Nadarajah. (2011) Reduction of bias and skewness with applications to second order accuracy. Statistical Methods & Applications 20:4, pages 439-450.
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Christopher S. Withers & Saralees Nadarajah. (2011) Expansions for the risk of Stein type estimates for non-normal data. Statistics & Decisions 28:2, pages 81-95.
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Christopher Withers & Saralees Nadarajah. (2010) The bias and skewness of M-estimators in regression. Electronic Journal of Statistics 4:none.
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C.S. Withers. (2006) The Distribution and Percentiles of Foschini's Lower Bound for Channel Capacity. The Distribution and Percentiles of Foschini's Lower Bound for Channel Capacity.
Tonio Di Battista. (2002) Adjusting the bias of adaptive sampling estimators of spatial dispersion indexes by the δ-method. Statistical Methods and Applications 11:2, pages 153-160.
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