Computing the joint distribution of general linear combinations of spacings or exponential variates

Statistica Sinica

Volumn 11, Issue 4, 2001, Pages 1141-1157

  Huffer, Fred W ^a   Lin, Chien Tai ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Kolmogorov Smirnov statistic; Moving average process; Symbolic computations

Indexed keywords

EID: 0035733644     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Barr, D. R. and Davidson, T. (1973). A Kolmogorov-Smirnov test for censored samples. Technometrics 15, 739-757.
2. Birnbaum, Z. W. (1952). Numerical tabulation of the distribution of Kolmogorov's statistic for finite sample size. J. Amer. Statist. Assoc. 47, 425-441.
3. Brunk, H. D. (1962). On the range of the difference between hypothetical distribution function and Pyke's modified empirical distribution function. Ann. Math. Statist. 33, 525-532.
4. Choudhuri, N. (1998). Bayesian bootstrap credible sets for multidimensional mean functional. Ann. Statist. 26, 2104-2127.
5. Drew, J. H., Glen, A. G. and Leemis, L. M. (2000). Computing the cumulative distribution function of the Kolmogorov-Smirnov statistic. Comput. Statist. Data Anal. 34, 1-15.
6. Duff, I. S. (1977). Permutations to block triangular form. J. Inst. Math. Appl. 19, 339-342.
7. Gasparini, M. (1995). Exact multivariate Bayesian bootstrap distributions of moments. Ann. Statist. 23, 762-768.
8. Glaz, J. and Balakrishnan, N. (1999). Introduction to scan statistics. In Scan Statistics and Applications (Edited by J. Glaz and N. Balakrishnan), 3-24. Birkhäuser, Boston.
9. Huffer, F. W. (1988). Divided differences and the joint distribution of linear combinations of spacings. J. Appl. Probab. 25, 346-354.
10. Huffer, F. W. and Lin, C. T. (1997a). Computing the exact distribution of the extremes of sums of consecutive spacings. Comput. Statist. Data Anal. 26, 117-132.
11. Huffer, F. W. and Lin, C. T. (1997b). Approximating the distribution of the scan statistic using moments of the number of clumps. J. Amer. Statist. Assoc. 92, 1466-1475.
12. Huffer, F. W. and Lin, C. T. (1999a). An approach to computations involving spacings with applications to the scan statistic. In Scan Statistics and Applications (Edited by J. Glaz and N. Balakrishnan), 141-163. Birkhäuser, Boston.
13. Huffer, F. W. and Lin, C. T. (1999b). Using moments to approximate the distribution of the scan statistic. In Scan Statistics and Applications (Edited by J. Glaz and N. Balakrishnan), 165-190. Birkhäuser, Boston.
14. Lin, C. T. (1993). The computation of probabilities which involve spacings, with applications to the scan statistic. Ph.D. Thesis, Florida State University, Tallahassee.
15. Priestley, M. B. (1981). Spectral Analysis and Time Series. Academic Press, London.
16. Pyke, R. (1959). The supremum and infimum of the Poisson process. Ann. Math. Statist. 30, 569-576.
17. Takács, L. (1996). On a test for uniformity of a circular distribution. Math. Methods Statist. 5, 77-98.
18. Weinberg, C. R. (1980). A test for clustering on the circle. Ph.D. Thesis, University of Washington, Seattle.