On a Method of Moments
S. Rolewicz (1973)
Publications du Département de mathématiques (Lyon)
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S. Rolewicz (1973)
Publications du Département de mathématiques (Lyon)
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Devendra Kumar (2016)
Discussiones Mathematicae Probability and Statistics
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In this study, we gave some new explicit expressions and recurrence relations satisfied by single and product moments of k-th lower record values from Dagum distribution. Next we show that the result for the record values from the Dagum distribution can be derived from our result as special case. Further, using a recurrence relation for single moments and conditional expectation of record values we obtain characterization of Dagum distribution. In addition, we use the established explicit...
Joarder, Anwar H., Mahmood, Munir (1997)
Journal of Applied Mathematics and Decision Sciences
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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.
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.
S. K. Srinivasan, R. Vasudevan (1969)
Annales de l'I.H.P. Physique théorique
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W. Dziubdziela, B. Kopociński (1976)
Applicationes Mathematicae
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Martial Guillaud, Jean-Marc Chassery (1991)
Statistique et analyse des données
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Z. Grudzień, D. Szynal (1999)
Applicationes Mathematicae
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Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.
Jakub Večeřa (2016)
Applications of Mathematics
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A special case of a Gibbsian facet process on a fixed window with a discrete orientation distribution and with increasing intensity of the underlying Poisson process is studied. All asymptotic joint moments for interaction U-statistics are calculated and the central limit theorem is derived using the method of moments.
Jimbo, H.C. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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R. Szekli (1987)
Applicationes Mathematicae
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H. M. Barakat (2002)
Applicationes Mathematicae
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The limit behaviour of the extreme order statistics arising from n two-dimensional independent and non-identically distributed random vectors is investigated. Necessary and sufficient conditions for the weak convergence of the distribution function (d.f.) of the vector of extremes, as well as the form of the limit d.f.'s, are obtained. Moreover, conditions for the components of the vector of extremes to be asymptotically independent are studied.
Katarzyna Steliga, Dominik Szynal (2015)
Applicationes Mathematicae
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The aim of this article is to give new formulae for central moments of the binomial, negative binomial, Poisson and logarithmic distributions. We show that they can also be derived from the known recurrence formulae for those moments. Central moments for distributions of the Panjer class are also studied. We expect our formulae to be useful in many applications.
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.