Some analogies between the class of infinitely divisible distributions and the class ℒ of distributions
L. Kubik (1963)
Studia Mathematica
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Displaying similar documents to “A characterization of the class ℒ of probability distributions”
Some analogies between the class of infinitely divisible distributions and the class ℒ of distributions
Some properties of truncated distributions connected with log-concavity of distribution functions
L. Mailhot (1988)
Applicationes Mathematicae
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On the class of infinitely divisible distributions and on its subclasses
L. Kubik (1966)
Studia Mathematica
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Reliability for Beta Models
Nadarajah, Saralees (2002)
Serdica Mathematical Journal
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In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1 ) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1 ) has been worked out for the majority of the well-known distributions including Normal, uniform, exponential, gamma, weibull and pareto. However, there are still many other distributions for which the form...
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.
Integrals of distributions
Roman Sikorski (1961)
Studia Mathematica
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On the distributions of multiplicative functions
G. Jogesh Babu (1980)
Acta Arithmetica
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On the Rényi theory of conditional probabilities
Andrzej Kamiński (1984)
Studia Mathematica
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Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed
Zofia Grudzień, Dominik Szynal (1997)
Applicationes Mathematicae
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We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.
The elementary theory of distributions (I)
Jan Mikusiński, Roman Sikorski
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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...
Discrete generalized Liouville-type distribution and related multivariate distributions.
G. S. Lingappaiah (1984)
Trabajos de Estadística e Investigación Operativa
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Discrete analogue of the Liouville distribution is defined and is termed as Discrete Generalized Liouville-Type Distribution (DGL-TD). Firstly, properties in its factorial and ordinary moments are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomial and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates...