Interval estimation of a normal process mean from rounded data

Journal of Quality Technology

Volumn 33, Issue 3, 2001, Pages 335-347

  Lee, Chiang Sheng ^a   Vardeman, Stephen B ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Coverage probability; Gaging; Likelihood

Indexed keywords

INVERSE PROBLEMS; MATHEMATICAL MODELS; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS; STATISTICAL METHODS;

INTERVAL ESTIMATORS; LIKELIHOOD FUNCTION;

STATISTICAL PROCESS CONTROL;

EID: 0345915807     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2001.11980083     Document Type: Article

References (10)

1. Bickel, P. J. and Doksum, K. A. (1977). Mathematical Statistics: Basic Ideas and Selected Topics. Holden-Day, San Francisco, CA.
2. Haitovsky, Y. (1982). "Grouped Data" in Encyclopedia of Statistical Sciences 3, pp. 527-536. Wiley, New York, NY.
3. Heitjan, D. (1989). "Inference from Grouped Continuous Data: A Review" Statistical Science 4, pp. 164-183.
4. Schader, M. and Schmid, F. (1984). "Computation of Maximum Likelihood Estimates for μ and σ from a Grouped Sample of a Normal Population - A Comparison of Algorithms". Statistical Papers 25, pp. 245-258.
5. Shapiro, S. S. and Gulati, S. (1998). "Estimating the Mean of an Exponential Distribution from Grouped Observations". Journal of Quality Technology 30, pp. 107-118.
6. Sheppard, W. (1898). "On the Calculation of the Most Probable Values of Frequency Constants for Data Arranged According to Equidistant Divisions of a Scale". Proceedings of the London Mathematical Society 29, pp. 353-380.
7. Stein, P. (2000). "Careful Interpolation Yields Useful Information". Quality Progress January, pp. 67-69.
8. Swan, A. V. (1969). "Maximum Likelihood Estimation from Grouped and Censored Normal Data". Applied Statistics 18, pp. 110-114.
9. Tricker, A.; Coates, E.; and Okell, E. (1998). "The Effect on the R Chart of Precision of Measurement". Journal of Quality Technology 30, pp. 232-239.
10. Vardeman, S. B. and Jensen, K. L. (1989). "X̄ and R Control Charts for Rounded Data". Preprint Number 89-33, Statistical Laboratory, Iowa State University, Ames, IA.