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The Distribution of the Profile of Aluminium Coil
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Biswabrata Pradhan
Published/Copyright:
March 11, 2010
Abstract
The profile is an important quality characteristic of hot rolled aluminium coil. It is referred to as a measure of pattern of thickness variation along the width of the coil. The aim of this article is to study some aspects of the distribution of profile of hot rolled aluminium coils. A probability distribution of the profile is derived under the normal approximation. The parameters of the distribution are estimated by the maximum likelihood method. Next, the derived probability distribution is compared with the real observations and a goodness of fit test is carried out. It shows that the derived distribution fits reasonably well. Finally, a large sample distribution of the profile is also derived.
Key Words:: Profile; multivariate normal distribution; intra-class correlation structure; maximum likelihood estimate; goodness of fit test
Published Online: 2010-03-11
Published in Print: 2008-April
© Heldermann Verlag
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- The Distribution of the Profile of Aluminium Coil
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Keywords for this article
Profile;
multivariate normal distribution;
intra-class correlation structure;
maximum likelihood estimate;
goodness of fit test
Articles in the same Issue
- One-sided and Two-sided Critical Values for Dixon's Outlier Test for Sample Sizes up to n = 30
- Exact Distributions of Products of Certain Random Variables
- Two Old Statistical Methods in a New Stochastic Outfit
- Optimal Maintenance/Replacement-Policy for Deteriorating Systems under Two-Phase Maintenance Strategy
- Bounds for Quantile-Based Risk Measures of Functions of Dependent Random Variables
- The Distribution of the Profile of Aluminium Coil
- A Note on the Efficiency of Nonparametric Control Chart for Monitoring Process Variability
- Control Charts for Particles in the Semiconductor Manufacturing Process
- Statistical Sampling Strategies for Geometric Tolerance Inspection by CMM
- A Critical Note on the Guide to the Expression of Uncertainty in Measurement (GUM)
