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A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution

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Published/Copyright: March 10, 2010
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Stochastics and Quality Control
From the journal Volume 19 Issue 2

Abstract

Point estimation constitutes the heart of statistics. In this paper the corresponding methods are looked at from the viewpoint of a user and it is shown that point estimation procedures not only have major conceptual deficiencies, but that the corresponding methods offered and recommended in textbooks and journal articles are often confusing and misleading. To exemplify these claims reliability estimation assuming the log-logistic distribution is used. The reliability function is viewed as a parametric function. For certain values of the shape parameter, the scale parameter is estimated and used to obtain reliability estimates.

Published Online: 2010-03-10
Published in Print: 2004-October

© Heldermann Verlag

Articles in the same Issue

  1. Maintenance Policies with Minimal Repair
  2. Analysis of a Repairable System Subjected To Multiple Modes of Failure
  3. Run Length Variability and Three Sigma Control Limits
  4. Estimating Structural Reliability in the Presence of Covariates Via Bayesian Methods
  5. A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution
  6. A Note on Testing Exponentiality Against New Better Than Used of Specified Age
  7. Measurement Procedures for Improving the Variability Function
  8. The Least Cost Testing Sequence Problem
  9. Process Control for Three Quality Classes and Three Repair Actions
  10. Standardisation of Flour Testing in Alveograph NG
  11. A Problem Called ISO 2859-1 Sampling Procedures for Inspection by Attributes - Part 1
https://doi.org/10.1515/EQC.2004.197

Articles in the same Issue

  1. Maintenance Policies with Minimal Repair
  2. Analysis of a Repairable System Subjected To Multiple Modes of Failure
  3. Run Length Variability and Three Sigma Control Limits
  4. Estimating Structural Reliability in the Presence of Covariates Via Bayesian Methods
  5. A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution
  6. A Note on Testing Exponentiality Against New Better Than Used of Specified Age
  7. Measurement Procedures for Improving the Variability Function
  8. The Least Cost Testing Sequence Problem
  9. Process Control for Three Quality Classes and Three Repair Actions
  10. Standardisation of Flour Testing in Alveograph NG
  11. A Problem Called ISO 2859-1 Sampling Procedures for Inspection by Attributes - Part 1
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