Communications - Scientific Letters of the University of Zilina 2013, 15(3):89-95 | DOI: 10.26552/com.C.2013.3.89-95

Comments on the Power of Kolmogorov Test

Andrzej Rogowski1
1 Faculty of Transport and Electrical Engineering, University of Technology and Humanities, Radom, Poland

This paper presents the results of estimating the power of Kolmogorov test and its modifications for testing hypothesis about an exponential distribution against the alternative hypothesis (population has a Weibull distribution). The power of test was calculated based on a distribution of empirical cumulative distribution function and limiting distribution, as well as computer-simulation methods. Some important properties and limitations were given that are related to power simulation study of goodness-of-fit tests.

Keywords: statistical test, Kolmogorov test, power of a test, exponential distribution, simulation

Published: August 31, 2013  Show citation

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Rogowski, A. (2013). Comments on the Power of Kolmogorov Test. Communications - Scientific Letters of the University of Zilina15(3), 89-95. doi: 10.26552/com.C.2013.3.89-95
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References

  1. ROGOWSKA, R., ROGOWSKI, A.: Compliance of the Results of Hypothesis Testing with Normal Distribution for Selected Statistical Tests (in Polish), Logistyka, No. 3, 2011 (Logistyka - nauka, materialy VIII Konferencji Naukowo-Technicznej "Logitrans" - Logistyka, Systemy Transportowe, Bezpieczenstwo w Transporcie).
  2. ROGOWSKI, A.: Compliance of the Results of Hypothesis Testing with Exponential Distribution for Selected Statistical Tests, The Archives of Transport, vol. 24, No. 4, 2012. Go to original source...
  3. FISZ, M.: Probability Theory and Mathematical Statistics (in Polish), PWN, Warszawa 1967.
  4. FIRKOWICZ, S.: Statistical Testing of Products, WNT, Warszawa 1970.
  5. DOMANSKI, CZ.: Nonparametric Statistical Tests (in Polish), PWE, Warszawa 1979.
  6. ROGOWSKI, A.: The Basics of Probabilistic Methods in Transport (in Polish), seria Monografie, No. 175, Wydawnictwo Uniwersytetu Technologiczno-Humanistycznego, Radom 2012.

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