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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 2

Multivariate Estimation from "Two Variables at a Time" Observations

Christopher S. Withers
Saralees Nadarajah
Sayfa
—
Yayın Tarihi
2013-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give both nonparametric estimates and the maximum likelihood estimates (MLEs) undernormality, and their covariances.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Suppose that we wish to estimate the mean µ and the covariance Cof a random p-vector X with p > 2, but we can only sample from thevector X two of its p components at a time.
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Temel Bulgular & Veri:Suppose that we wish to estimate the mean µ and the covariance Cof a random p-vector X with p > 2, but we can only sample from thevector X two of its p components at a time.
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Sonuç & Katkı:We give both nonparametric estimates and the maximum likelihood estimates (MLEs) undernormality, and their covariances.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Maximum likelihood estimation · Multivariate normal · Nonparametric estimation

Abstract

Suppose that we wish to estimate the mean µ and the covariance Cof a random p-vector X with p > 2, but we can only sample from thevector X two of its p components at a time. We give both nonparametric estimates and the maximum likelihood estimates (MLEs) undernormality, and their covariances.

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Bu Makaleye Atıf Yap

Withers, C. S., Nadarajah, S. (2013). Multivariate Estimation from "Two Variables at a Time" Observations. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 2. https://ajindex.com/articles/1403491

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Kaynakça (7)

  1. Anderson, T. W., An Introduction to Multivariate Statistical Analysis, third edition. John Wiley and Sons, New York, 2003.
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  3. Cleveland, W. S., LOWESS: A program for smoothing scatterplots by robust locally weighted regression, The American Statistician, 35, 54, 1981.
  4. Davidovitz, M., Reconstruction of the S-matrix for a 3-port using measurements at only two ports, IEEE Microwave and Guided Wave Letters, 5, 349-350, 1995. McNabb, D. E., Research Methods for Political Science: Quantitative and Qualitative Methods, M. E. Sharpe Publishers, London, 2004.
  5. Premoli, A. and Storace, M.,Two-port ideal power transferitors: a unified introduction to ideal transformer and gyrator, IEEE Transactions on Circuits and Systems II: Express Briefs, 51, 426-429, 2004.
  6. Withers, C. S., Nonparametric confidence intervals for functions of several distributions, Annals of the Institute of Statistical Mathematics, 40, 727-746, 1988.
  7. Zhao, Y., Yu, S. and Yang, Z., Evolutionary mechanism of port clusters based on the theory of dissipative structure, In: Proceedings of the 2008 International Conference on Intelligent Computation Technology and Automation, volume 1, pp. 52-55, 2008.