SPRT and CUSUM results for inverse gaussian processes

Communications in Statistics - Theory and Methods

Volumn 25, Issue 11, 1996, Pages 2797-2806

  Edgeman, Rick L ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Acceptance sampling; Cumulative sum tests; Failure time density; Sequential probability ratio test

Indexed keywords

EID: 25844439611     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929608831869     Document Type: Article

References (21)

1. Blaesild, P. and Jensen, J.L. (1985), Saddlepoint Formulas for Reproductive Exponential Models. Scandinavian Journal of Statistics 12: 193-202.
2. Chen, G. and Balakrishnan, N. (1995), A General Purpose Approximate Goodness-of-Fit Test. Journal of Quality Technology 27: 154-161.
3. Chhikara, R.S. and Folks, J.L. (1976), Optimum Test Procedures for the Mean of First Passage Time Distribution in Brownian Motion With Positive Drift (Inverse Gaussian Distribution). Technometrics 18: 189-193.
4. Chhikara, R.S. and Folks, J.L. (1989), The Inverse Gaussian Distribution: Theory, Methodology, and Applications. Marcel Dekker, New York.
5. Edgeman, R.L. (1989a), Inverse Gaussian Control Charts. Australian Journal of Statistics 31: 78-84.
6. Edgeman, R.L. (1989b), Control of Inverse Gaussian Processes. Quality Engineering 1: 265-276.
7. Edgeman, R.L. (1990a), Assessing the Inverse Gaussian Distribution Assumption. IEEE Transactions on Reliability R39: 352-355.
8. Edgeman, R.L. (1990b), An Alternative to Analysis of Variance for Reliability Data. Quality and Reliability Engineering International 6: 203-207.
9. Edgeman, R.L. (1992), Testing for Differences in Means of Skewed Processes. International Journal of Modelling and Simulation 12: 1, 20-21.
10. Edgeman, R.L. and Grayson, J.M. (1992), Analysis of Reciprocals for Life Test Data. Quality Engineering 4: 189-196.
11. Edgeman, R.L. and Salzberg, P.M. (1991), A Sequential Sampling Plan for the Inverse Gaussian Mean. Statistische Hefte, 32: 45-53.
12. Edgeman, R.L., Scott, R.C., and Pavur, R.J.(1988), A Modified Kolmogorov-Smirnov Test for the Inverse Gaussian Distribution with Unknown Parameters. Communications in Statistics B17: 1203-1212.
13. Johnson, N.L. (1961), A Simple Theoretical Approach to Cumulative Sum Control Charts. Journal of the American Statistical Association, 56: 835-840.
14. Jorgensen, B. (1982), Statistical Properties of the Generalized Inverse Gaussian Distribution. Springer-Verlag, New York.
15. Mann, N., Schafer, R.E., and Singpurwalla, N.D. (1974), Methods for Statistical Analysis of Reliability and Life Data. John Wiley, New York.
16. MuCullagh, P. and Nelder, J.A. (1983), Generalized Linear Models. Chapman and Hall, London.
17. Nabar, S.P. and Bilgi, S. (1994), Cumulative Sum Control Chart for the Inverse Gaussian Distribution. Journal of the Indian Statistical Association, 32, 9-14.
18. Pavur, R.J., Edgeman, R.L. and Scott, R.C. (1992), Quadratic Statistics for the Goodness-of-Fit Test of the Inverse Gaussian Distribution. IEEE Transactions on Reliability, R41, 118-123.
19. Schilling, E.G. (1982), Acceptance Sampling in Quality Control. Marcel Dekker, New York.
20. Tweedie, M.C.K. (1957), Statistical Properties of the Inverse Gaussian Distribution, 1. Annals of Mathematical Statistics 28: 362-377.
21. Wald, A. (1947), Sequential Analysis. John Wiley, New York.