Exact distributions for some Rényi-type statistics
Z. W. Birnbaum, B. P. Lientz (1969)
Applicationes Mathematicae
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Z. W. Birnbaum, B. P. Lientz (1969)
Applicationes Mathematicae
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K. Sarkadi (1980)
Applicationes Mathematicae
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(1948)
Aktuárské vědy
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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.
von Collani, Elart (2014)
Serdica Journal of Computing
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Statistics has penetrated almost all branches of science and all areas of human endeavor. At the same time, statistics is not only misunderstood, misused and abused to a frightening extent, but it is also often much disliked by students in colleges and universities. This lecture discusses/covers/addresses the historical development of statistics, aiming at identifying the most important turning points that led to the present state of statistics and at answering the questions “What went...
Gadasina, L.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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L. Weiss (1991)
Metrika
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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.
Erhard Cramer, Udo Kamps, Tomasz Rychlik (2002)
Applicationes Mathematicae
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We present sharp upper bounds for the deviations of expected generalized order statistics from the population mean in various scale units generated by central absolute moments. No restrictions are imposed on the parameters of the generalized order statistics model. The results are derived by combining the unimodality property of the uniform generalized order statistics with the Moriguti and Hölder inequalities. They generalize evaluations for specific models of ordered observations. ...
Marek Kałuszka, Andrzej Okolewski (2011)
Applicationes Mathematicae
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We present a first moment distribution-free bound on expected values of L-statistics as well as properties of some numerical characteristics of order statistics, in the case when the observations are possibly dependent symmetrically distributed about the common mean. An actuarial interpretation of the presented bound is indicated.
Baklanov, E.A. (2006)
Sibirskij Matematicheskij Zhurnal
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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.
Eddy, Nnabuk O. (2007)
APPS. Applied Sciences
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Essam K. AL-Hussaini, Abd EL-Baset A. Ahmad, Hanan H. El-Boghdady (2005)
Discussiones Mathematicae Probability and Statistics
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In this paper, recurrence relations for conditional moment generating functions and conditional moments of order statistics and record values based on random samples drawn from members of a class of doubly truncated distributions Ád are obtained.
M. Shakil, M. Ahsanullah (2016)
Special Matrices
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The Demmel condition number is an indicator of the matrix condition, and its properties have recently found applications in many practical problems, such as in MIMO communication systems, in the analytical prediction of level-crossing and fade duration statistics of Rayleigh channels, and in spectrum sensing for cognitive radio systems, among others. As the characterizations of a probability distribution play an important role in probability and statistics, in this paper we study the...