Exact distributions for some Rényi-type statistics
Z. W. Birnbaum, B. P. Lientz (1969)
Applicationes Mathematicae
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Displaying similar documents to “Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations”
Exact distributions for some Rényi-type statistics
An Identity for the Product Moments of Order Statistics.
M.M. Mohie El-Din, S.E. Abu-Youssef, K.S. Sultan (1996)
Metrika
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Goodness-of-fit tests using characterizations of continuous distributions
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.
A General Recurrence Relation for Moments of Order Statistics in a Class of Probability Distributions and Characterizations.
U. Kamps (1991)
Metrika
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Limit theorems for Pareto-type distributions
A. De-Meyer, J. L. Teugels (1985)
Banach Center Publications
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Characterizations of exponential distributions by spacings of generalized order statistics
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.
Moments of order statistics of the Generalized T Distribution
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.
Characteristic properties of generalized order statistics from exponential distributions
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.
Recurrence relations for conditional moment generating functions of order statistics and record values
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.
Approximate Distributions of Order Statistics, with Applications to Nonparametric Statistics - R. D. Reiss.
L. Weiss (1991)
Metrika
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Relations for characteristic functions of k-th record values from generalized Pareto and inverse generalized Pareto distribution
I. Malinowska, D. Szynal (2009)
Applicationes Mathematicae
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Relations for the marginal, joint, conditional characteristic functions of k-th upper and lower record values from generalized Pareto distribution and inverse generalized Pareto distribution are given.
k-th rekord values from Dagum distribution and characterization
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...
Goodness-of-fit tests based on characterizations in terms of moments of order 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.
Some relationships between the generalized Gumbel and other distributions
Matthev O. Ojo (2001)
Kragujevac Journal of Mathematics
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Characterizations of Distributions Via Two Expected Values of Order Statistics.
J.S. Hwang, G.D. Lin (1988)
Metrika
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Distributions Determined by Conditioning on a Pair of Order Statistics.
M.L. Beg, K. Balasubramanian ([unknown])
Metrika
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On two families of tests for normality with empirical description of their performances
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.
Characterizations of power distributions via moments of order statistics and record values
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.