The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Improved goodness-of-fit tests
Abstract
Two statistics for testing goodness of fit for small sample sizes are provided. The first statistic, Sn, can be used to test the fit to any completely specified continuous distribution function and is more powerful than the Kolmogorov-Smirnov statistic in the cases tested. The second statistic, S*n, tests the fit to an exponential distribution with mean unknown. It is more powerful than a Kolmogorov-Smirnov type statistic suggested by Lilliefors (1969) for the cases tested. Critical values for Snand S*n are given for sample size n=1 (1)20(5)30 and α=0.20, 0.15, 0.10, 0.05 and 0.01. The critical values and power analyses were obtained by Monte Carlo techniques. These new statistics are closely related to the Kolmogorov-Smirnov statistic and are computationally equival
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Citations
Cites
The Kolmogorov-Smirnov Test for Goodness of Fit
Massey, F. J. (1951) · Journal of the American Statistical Association · doi:10.1080/01621459.1951.10500769 · Cited by 7,210
On the Kolmogorov-Smirnov Test for the Exponential Distribution with Mean Unknown
Lilliefors, H. W. (1969) · Journal of the American Statistical Association · doi:10.1080/01621459.1969.10500983 · Cited by 637
Numerical Tabulation of the Distribution of Kolmogorov's Statistic for Finite Sample Size
Birnbaum, Z. W. (1952) · Journal of the American Statistical Association · doi:10.1080/01621459.1952.10501182 · Cited by 235
THE PROBABILITY INTEGRAL TRANSFORMATION WHEN PARAMETERS ARE ESTIMATED FROM THE SAMPLE
David, F. N., & Johnson, N. L. (1948) · Biometrika · doi:10.1093/biomet/35.1-2.182 · Cited by 123
Some goodness of fit tests for exponential distributions
van Soest, J. (1969) · Statistica Neerlandica · doi:10.1111/j.1467-9574.1969.tb00072.x · Cited by 31
Riedwyl, H. (1967) · Journal of the American Statistical Association · doi:10.1080/01621459.1967.10482915 · Cited by 27
Cited by
Zhou, W., Lou, C., Li, Z., Lu, L., & Yang, H. (2010) · Applied Energy · doi:10.1016/j.apenergy.2009.08.012 · Cited by 893
Metadata
- Authors
- FINKELSTEIN, J. M., & SCHAFER, R. E.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1971
- Volume
- 58
- Issue
- 3
- Pages
- 641-645
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W1985739971
- Cited by
- 340
- References
- 6
- FWCI
- 3.42
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
