Skip to main content
Log in

A modified Kolmogorov-Smirnov test for a rectangular distribution with unknown parameters: Computation of the distribution of the test statistic

  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

A recursive scheme for the calculation of the distribution of the test statistic of a modified Kolmogorov-Smirnov-test for a rectangular distribution with unknown parameters is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • D'Agostino, R.B.; Stephens, M.A. (1986). Goodness-of-fit techniques. Marcel Dekker, Inc. New York

    MATH  Google Scholar 

  • Friedrich, Th.; Schellhaas, H. (1996). Computation of the percentage points and the power for the two sided Kolmogorov-Smirnov one sample test. Preprint-Nr. 1835, Fachbereich Mathematik, Technische Hochschule Darmstadt. To appear in Statistical Papers

  • Krumbholz, W.; Schader, M.; Schmid, F. (1996). Modifications of the Kolmogorov, Cramer- von Mises, and Watson tests for testing uniformity with unknown limits. Commun. Statist.-Simula. 25, 1093–1104

    Article  MATH  MathSciNet  Google Scholar 

  • Lassahn, R. (1996). Die exakte Berechnung der Quantile des Kolmogoroffschen Anpassungstestes auf Gleichverteilung mit Hilfe der Steck-Determinante. Diskussionsbeiträge zur Statistik und Qualitativen Ökonomik Nr. 70, Universität der Bundeswehr Hamburg

  • Schellhaas, H. (1996). The Kolmogorov-Smirnov-test for a rectangular distribution with unknown parameters: computation of the distribution of the test statistic. Preprint Nr. 1863. Fachbereich Mathematik, Technische Hochschule Darmstadt

  • Steck, G.P. (1971). Rectangle probabilities for uniform order statistics and the probability that the empirical distribution function lies between two distribution functions. Ann. Math. Statist. 42, 1–11

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schellhaas, H. A modified Kolmogorov-Smirnov test for a rectangular distribution with unknown parameters: Computation of the distribution of the test statistic. Statistical Papers 40, 343–349 (1999). https://doi.org/10.1007/BF02929880

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02929880

Key words

Navigation