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.
C.B. Bell, Y. Rama Krishna Sarma (1980)
Metrika
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Z. W. Birnbaum, B. P. Lientz (1969)
Applicationes Mathematicae
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L. Marzec, P. Marzec (1988)
Applicationes Mathematicae
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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, 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.
M.M. Mohie El-Din, S.E. Abu-Youssef, K.S. Sultan (1996)
Metrika
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L. Weiss (1991)
Metrika
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U. Kamps (1991)
Metrika
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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.
J. Bartoszewicz (1987)
Applicationes Mathematicae
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G. S. Lingappaiah (1983)
Applicationes Mathematicae
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Ali İ. Genç (2015)
Discussiones Mathematicae Probability and Statistics
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We derive an explicit expression for the single moments of order statistics from the generalized t (GT) distribution. We also derive an expression for the product moment of any two order statistics from the same distribution. Then the location-scale estimating problem of a real data set is solved alternatively by the best linear unbiased estimates which are based on the moments of order statistics.
L. Gajek, U. Gather (1991)
Metrika
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J. Bartoszewicz, R. Zieliński (1985)
Applicationes Mathematicae
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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.