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Two Old Statistical Methods in a New Stochastic Outfit

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  • Zhai Xiaomin

    (Institute of Mathematics, University of Würzburg, Sanderring 2, D-97070 Würzburg, Germany)

Abstract

The so-called confidence interval for the first moment (expectation) of a random variable X based on the t-distribution and the confidence interval for the variance based on the χ 2-distribution are two very important statistical methods. They allow to determine the value μ of E[X] and the value σ 2 of V[X] for given confidence level β. These two statistical methods fit perfectly well into the stochastic approach and, therefore, they are used here to illustrate stochastic measurement procedures.

Suggested Citation

  • Zhai Xiaomin, 2008. "Two Old Statistical Methods in a New Stochastic Outfit," Stochastics and Quality Control, De Gruyter, vol. 23(1), pages 29-38, January.
    • Handle: RePEc:bpj:ecqcon:v:23:y:2008:i:1:p:29-38:n:4
    DOI: 10.1515/EQC.2008.29
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    References listed on IDEAS

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    1. Sans W. & Zhai X. & Stübner D. & Sen S. & Binder A. & Collani E. v., 2005. "Improving the Variability Function in Case of a Monotonic Probability Distribution," Stochastics and Quality Control, De Gruyter, vol. 20(1), pages 121-142, January.
    2. Stübner Dmitri & Sans Wolfgang & Zhai Xiaomin & Sen Surath & von Collani Elart, 2004. "Measurement Procedures for Improving the Variability Function," Stochastics and Quality Control, De Gruyter, vol. 19(2), pages 215-228, January.
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