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A note on ‘The exponentiated power Lomax distribution and its applications'
Quality and Reliability Engineering International, 2021AbstractAbd El‐Monsef, Sweilam and Sabry [Quality and Reliability Engineering International, 2020, doi: 10.1002/qre.2780] proposed a four‐parameter exponentiated power Lomax distribution, derived its properties and illustrated three data applications. In this note, we show that several properties expressed in terms of infinite sums can be simplified to
Saralees Nadarajah, Emmanuel Afuecheta
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A Generalization of the Univariate Slash by a Scale-Mixtured Exponential Power Distribution
Communications in Statistics Part B: Simulation and Computation, 2007A generalization of the slash distribution is derived using the scale mixture of the exponential power distribution. The newly defined family of distributions provides a rich flexibility on the tail heaviness and yields alternative robust estimators of location and scale in non normal situations.
Ali I Genc
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Characterization of the exponential and power distributions
Scandinavian Actuarial Journal, 1966Abstract The exponential and power distributions are characterized in the class of all nontrivial distributions.
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Exponentiated power Lindley power series class of distributions: Theory and applications
Communications in Statistics - Simulation and Computation, 2017We introduce a new four-parameter generalization of the exponentiated power Lindley (EPL) distribution, called the exponentiated power Lindley power series (EPLPS) distribution. The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the ...
Mojtaba Alizadeh +4 more
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Power binomial exponential distribution: Modeling, simulation and application
Communications in Statistics - Simulation and Computation, 2017The binomial exponential 2 (BE2) distribution was proposed by Bakouch et al. as a distribution of a random sum of independent exponential random variables, when the sample size has a zero truncated...
Mima Habibi, Akbar Asgharzadeh
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Alpha Power Exponentiated Pareto Distribution
Lobachevskii Journal of Mathematics, 2023Pimsap, Panuwat +2 more
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Exponential and power-law mass distributions in brittle fragmentation
Physical Review E, 2004Generic arguments, a minimal numerical model, and fragmentation experiments with gypsum disk are used to investigate the fragment-size distribution that results from dynamic brittle fragmentation. Fragmentation is initiated by random nucleation of cracks due to material inhomogeneities, and its dynamics are pictured as a process of propagating cracks ...
Åstrøm, J.A +4 more
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On the Moments of the Alpha Power Transformed Generalized Exponential Distribution
Ozone: Science & Engineering, 2017Based on an alpha power transformation method developed in Mahdavi and Kundu [Communications in Statistics–Theory and Methods, 46, 2017, doi: 10.1080/03610926.2015.1130839], Dey, Alzaatreh, Zhang and Kumar [Ozone: Science and Engineering, 39, 2017, 273–285] introduced a novel three-parameter distribution, studied its properties including estimation ...
Nadarajah, Saralees; id_orcid 0000-0002-0481-0372 +1 more
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Correction to “characterization of the exponential and power distributions”
Scandinavian Actuarial Journal, 1978The purpose of this correction is to state precisely the class of distributions in which the exponential distribution is characterized and to prove certain amplifications.
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On the distribution of the power function for the scale parameter of exponential families
Statistics in MedicineThe expected value of the standard power function of a test, computed with respect to a design prior distribution, is often used to evaluate the probability of success of an experiment. However, looking only at the expected value might be reductive. Instead, the whole probability distribution of the power function induced by the design prior can be ...
De Santis, Fulvio, Gubbiotti, Stefania
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