Displaying similar documents to “On characteristic functions of kth record values from the generalized extreme value distribution and its characterization”

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...

The recurrence relations for the moments of the discrete probability distributions

Tadeusz Gerstenkorn

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CONTENTS1. The presentation of the problem........................................................................................................ 51.1. Introduction.......................................................................................................................................... 51.2. The presentation of the known results........................................................................................... 52. The recurrence relations for the moments about...

On characterizing the Pólya distribution

Héctor M. Ramos, David Almorza, Juan A. García–Ramos (2010)

ESAIM: Probability and Statistics

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In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system.

A multimodal beta distribution with application to economic data

Saralees Nadarajah, Samuel Kotz (2007)

Applicationes Mathematicae

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Beta distributions are popular models for economic data. In this paper, a new multimodal beta distribution with bathtub shaped failure rate function is introduced. Various structural properties of this distribution are derived, including its cdf, moments, mean deviation about the mean, mean deviation about the median, entropy, asymptotic distribution of the extreme order statistics, maximum likelihood estimates and the Fisher information matrix. Finally, an application to consumer price...