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Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model
Mathematics, 2023 Statistical models are vital in data analysis, and researchers are always on the search for potential or the latest statistical models to fit data sets in a variety of domains. To create an improved statistical model, we used a T-X transformation and the
Showkat Ahmad Lone +5 more
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The beta Gumbel distribution [PDF]
Mathematical Problems in Engineering, 2004 The Gumbel distribution is perhaps the most widely applied statistical distribution for problems in engineering. In this paper, we introduce a generalization—referred to as the beta Gumbel distribution—generated from the logit of a beta random variable. We provide a comprehensive treatment of the mathematical properties of this new distribution.
Nadarajah, Saralees, Kotz, Samuel
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Integer partitions and exclusion statistics: Limit shapes and the largest part of Young diagrams [PDF]
, 2007 We compute the limit shapes of the Young diagrams of the minimal difference $p$ partitions and provide a simple physical interpretation for the limit shapes.
Comtet, Alain +3 more
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Cardinality estimation using Gumbel distribution
, 2020 Cardinality estimation is the task of approximating the number of distinct elements in a large dataset with possibly repeating elements. LogLog and HyperLogLog (c.f. Durand and Flajolet [ESA 2003], Flajolet et al. [Discrete Math Theor. 2007]) are small space sketching schemes for cardinality estimation, which have both strong theoretical guarantees of ...
Łukasiewicz, Aleksander +1 more
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Rainfall probability modeling for Neelambur areas of Coimbatore, Tamil Nadu
Journal of Agrometeorology, 2009 Daily rainfall data obtained from the rain gauge station, Sulur (110 N and 770 E) were analyzed for fitting one day maximum rainfall, average weekly, monthly and seasonal rainfall data, using different distributions like Normal, Log-normal, Gumbel and ...
B. MAHESHWARA BABU, D. C. SAHOO
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The Gumbel hypothesis test for left censored observations using regional earthquake records as an example [PDF]
Natural Hazards and Earth System Sciences, 2011 Annual maximum (AM) time series are incomplete (i.e., censored) when no events are included above the assumed censoring threshold (i.e., magnitude of completeness).
E. M. Thompson +3 more
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Gumbel and κ-Gumbel probability distributions
, 2022 Here we propose the use of the κ-exponential to deform the Gumbel distribution. The κ-exponential is a function of κ-statistics, a statistics which has been developed by G. Kaniadakis, Politecnico di Torino, in the framework of special relativity and used for statistical analyses involving power law tailed statistical distributions.
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The Gumbel-Lomax Distribution: Properties and Applications [PDF]
Journal of Statistical Theory and Applications (JSTA), 2016 We introduce a new four-parameter model called the Gumbel-Lomax distribution arising from the Gumbel- X generator recently proposed by Al-Aqtash (2013).
M.H. Tahir +5 more
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Model of contact friction based on extreme value statistics
Friction, 2018 We propose a model based on extreme value statistics (EVS) and combine it with different models for single-asperity contact, including adhesive and elasto-plastic contacts, to derive a relation between the applied load and the friction force on a rough ...
A. Malekan, S. Rouhani
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AIP Advances, 2023 Using the power transformation method, we introduce a generalized version of the unit Gumbel type-2 distribution. The new lifetime distribution is called the power unit Gumbel type-2 distribution (PUGT2D).
M. Nagy +6 more
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