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Sequential Analysis
Design Methods and Applications
Volume 21, 2002 - Issue 3
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Original Articles

TWO-STAGE ESTIMATION OF A LINEAR FUNCTION OF NORMAL MEANS WITH SECOND-ORDER APPROXIMATIONS

Makoto Aoshima Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan
&
Nitis Mukhopadhyay Department of Statistics, University of Connecticut, Storrs, CT, 06269-4120, U.S.A.
Pages 109-144 | Received 01 Jul 2001, Published online: 16 Aug 2006

Citations (22)

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Read on this site (13)

Nitis Mukhopadhyay & Yan Zhuang. (2019) Two-sample two-stage and purely sequential methodologies for tests of hypotheses with applications: comparing normal means when the two variances are unknown and unequal. Sequential Analysis 38:1, pages 69-114.
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Eiichi Isogai, Chikara Uno & Daisuke Takeuchi. (2012) Two-Stage Procedure Having Exact Third-Order Properties for a Normal Mean. Communications in Statistics - Theory and Methods 41:23, pages 4332-4347.
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Makoto Aoshima, Nitis Mukhopadhyay & Yuko Kobayashi. (2011) Two-Stage Procedures for Estimating the Difference of Means when the Sampling Cost is Different. Sequential Analysis 30:2, pages 160-171.
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Nitis Mukhopadhyay. (2011) On Sharp Jensen's Inequality and Some Unusual Applications. Communications in Statistics - Theory and Methods 40:7, pages 1283-1297.
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Kazuyoshi Yata. (2010) Effective Two-Stage Estimation for a Linear Function of High-Dimensional Gaussian Means. Sequential Analysis 29:4, pages 463-482.
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Nitis Mukhopadhyay, BasilM. de Silva & VasantB. Waikar. (2010) On Two-Stage Confidence Interval Procedures and Their Comparisons for Estimating the Difference of Normal Means. Sequential Analysis 29:1, pages 44-68.
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Nitis Mukhopadhyay. (2010) Discussion on “Life and Work of Bhaskar Kumar Ghosh” by Pranab Kumar Sen. Sequential Analysis 29:1, pages 30-35.
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Nitis Mukhopadhyay & William Pepe. (2009) Plug-In Two-Stage Normal Density Estimation Under MISE Loss: Unknown Variance. Sequential Analysis 28:2, pages 251-280.
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Yoshikazu Takada. (2006) Multistage Estimation Procedures with Bounded Risk for the Normal Mean Under LINEX Loss Function. Sequential Analysis 25:2, pages 227-239.
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Nitis Mukhopadhyay. (2006) A Personal Tribute to Milton Sobel: Selecting the Best Treatment. Sequential Analysis 25:2, pages 119-143.
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Nitis Mukhopadhyay. (2005) A New Approach to Determine the Pilot Sample Size in Two-Stage Sampling. Communications in Statistics - Theory and Methods 34:6, pages 1275-1295.
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Makoto Aoshima & Yoshikazu Takada. (2004) Asymptotic Second-Order Efficiency for Multivariate Two-Stage Estimation of a Linear Function of Normal Mean Vectors. Sequential Analysis 23:3, pages 333-353.
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Yoshikazu Takada. (2004) Asymptotic Second-Order Efficiency of a Two-Stage Procedure for Estimating a Linear Function of Normal Means. Sequential Analysis 23:1, pages 103-120.
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Articles from other publishers (9)

Christopher S. Withers & Saralees Nadarajah. (2021) Cornish-Fisher Expansions for Functionals of the Weighted Partial Sum Empirical Distribution. Methodology and Computing in Applied Probability 24:3, pages 1791-1804.
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Nitis Mukhopadhyay. 2021. Strategic Management, Decision Theory, and Decision Science. Strategic Management, Decision Theory, and Decision Science 87 108 .
Jun Hu & Nitis Mukhopadhyay. (2018) Second-order asymptotics in a class of purely sequential minimum risk point estimation (MRPE) methodologies. Japanese Journal of Statistics and Data Science 2:1, pages 81-104.
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Christopher S. Withers & Saralees Nadarajah. (2013) Cornish–Fisher expansions for functionals of the partial sum empirical distribution. Statistical Methodology 12, pages 1-15.
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Yoshikazu Takada & Katuya Miyama. (2012) Robustness of a Two-Stage Estimation Procedure when Variances are Unequal. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 42:2, pages 207-219.
Crossref
Makoto Aoshima & Kazuyoshi Yata. (2008) Asymptotic second-order consistency for two-stage estimation methodologies and its applications. Annals of the Institute of Statistical Mathematics 62:3, pages 571-600.
Crossref
Nitis Mukhopadhyay & Basil de Silva. 2008. Sequential Methods and Their Applications. Sequential Methods and Their Applications.
Nitis Mukhopadhyay, Mun S. Son & Yong C. Ko. (2004) A new two-stage sampling design for estimating the maximum average time to flower. Journal of Agricultural, Biological, and Environmental Statistics 9:4, pages 479-499.
Crossref
Pilar Ibarrola & Ricardo Vélez. (2004) On Behrens–Fisher problem for continuous time Gaussian processes. Linear Algebra and its Applications 389, pages 63-76.
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