Kerwin Morris, Dominik Szynal (2001)
Applicationes Mathematicae
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Using characterization conditions of continuous distributions in terms of moments of order statistics and moments of record values we present new goodness-of-fit techniques.
Dominik Szynal (2010)
Banach Center Publications
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Starting from characterizations of continuous distributions in terms of the expected values of two functions of record values we construct a family of goodness-of-fit tests calculated from U-statistics.
K. W. Morris, D. Szynal (2002)
Applicationes Mathematicae
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Using characterization conditions of continuous distributions in terms of moments of order statistics given in [12], [23], [6] and [7] we present new goodness-of-fit techniques.
Miguel Fonseca, Joao Tiago Mexia, Roman Zmyślony (2002)
Discussiones Mathematicae Probability and Statistics
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Generalized F statistics are the quotients of convex combinations of central chi-squares divided by their degrees of freedom. Exact expressions are obtained for the distribution of these statistics when the degrees of freedom either in the numerator or in the denominator are even. An example is given to show how these expressions may be used to check the accuracy of Monte-Carlo methods in tabling these distributions. Moreover, when carrying out adaptative tests, these expressions enable...
Jaromír Antoch (1978)
Časopis pro pěstování matematiky
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L. Marzec (1991)
Applicationes Mathematicae
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Dominik Szynal, Waldemar Wołyński (2014)
Discussiones Mathematicae Probability and Statistics
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We discuss two families of tests for normality based on characterizations of continuous distributions via order statistics and record values. Simulations of their powers show that they are competitive to widely recommended tests in the literature.
Udo Kamps, Ursula Gather (1997)
Applicationes Mathematicae
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Exponential distributions are characterized by distributional properties of generalized order statistics. These characterizations include known results for ordinary order statistics and record values as particular cases.
Erhard Cramer, Udo Kamps, Mohammad Z. Raqab (2003)
Applicationes Mathematicae
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-3Properties of spacings of generalized order statistics based on IFR and DFR distributions are shown to characterize exponential distributions.
Jarosław Bartoszewicz (1996)
Applicationes Mathematicae
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The paper presents some connections between two tail orderings of distributions and the total time on test transform. The procedure for testing the pure-tail ordering is proposed.
Slobodanka Janjić (1986)
Publications de l'Institut Mathématique
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J Bartoszewicz (1991)
Applicationes Mathematicae
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M.M. Mohie El-Din, S.E. Abu-Youssef, K.S. Sultan (1996)
Metrika
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