Authors:
Gauss M. CordeiroDepartamento de Estatística, Universidade Federal de Pernambuco-UFPE, Recife, Brazil

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Thiago G. RamiresUTFPR, Departamento de Matemática, Universidade Tecnológica Federal do Paraná, Apucarana, Brazil

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Edwin M. M. OrtegaESALQ, Departamento de Ci^encias Exatas, Universidade de São Paulo-USP, Piracicaba, Brazil

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Rodrigo R. PescimDepartamento de Estatística, Universidade Estadual de Londrina, Londrina, Brazil

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We define the extended beta family of distributions to generalize the beta generator pioneered by Eugene et al. [10]. This paper is cited in at least 970 scientific articles and extends more than fifty well-known distributions. Any continuous distribution can be generalized by means of this family. The proposed family can present greater flexibility to model skewed data. Some of its mathematical properties are investigated and maximum likelihood is adopted to estimate its parameters. Further, for different parameter settings and sample sizes, some simulations are conducted. The superiority of the proposed family is illustrated by means of two real data sets.

  • [1]

    Alexander, C., Cordeiro, G. M., Ortega, E. M. M. and Sarabia, J. M., Generalized beta-generated distributions, Computational Statistics and Data Analysis, 56 (2012), 18801897.

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  • [2]

    Cordeiro, G. M., Alizadeh, M., Ozel, G., Hosseinl, B., Ortega, E. M. M. and Altun, E., The generalized odd log-logistic family of distributions: properties, regression models and applications, Journal of Statistical Computation and Simulation, 87 (2017), 908932.

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  • [3]

    Cordeiro, G. M., Afify, A. Z., Ortega, E. M. M., Suzuki, A. K. and Mead, M. E., The odd Lomax generator of distributions: Properties, estimation and applications, Journal of Computational and Applied Mathematics, 347 (2018), 222237.

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  • [4]

    Chaudhry, M. A., Qadir, A., Rafique, M. and Zubair, S. M., Extension of Euler’s beta function, Journal of Computational and Applied Mathematics, 78 (1997), 1932.

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  • [5]

    Chaudhry, M. A. and Zubair, S. M., On A Class of Incomplete Gamma Fnctions with Applications, Chapman and Hall, CRC Press, 2002.

  • [6]

    Comtet, L., Advanced Combinatorics: The Art of Finite and Infinite Expansions, Dordrecht, Holland/Boston, U.S.: Reidel Publishing Company, 1974.

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  • [7]

    Cordeiro, G. M. and de Castro, M., A new family of generalized distributions, Journal of Statistical Computation and Simulation, 81 (2011), 883898.

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  • [8]

    Cordeiro, G. M., Cintra, R. J., Rego, L. C. and Ortega, E. M. M., The McDonald normal distribution, Pakistan Journal of Statistics and Operations Research, 8 (2012), 301329.

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  • [9]

    del Aguila, J. S., Heiffig-del Aguila, L. S., Sasaki, F. F., Tsumanuma, G. M., Ongarelli, M. G., Spoto, M. H. F., Jacomino, A. P., Ortega, E. M. M. and Kluge, R. A., Postharvest modifications of mechanically injured bananas, Revista Iberoamericana de Tecnologia Postcosecha, 10 (2010), 7385.

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  • [10]

    Eugene, N., Lee, C. and Famoye, F., Beta-normal distribution and its applications, Communications in Statistics–Theory and Methods, 31 (2002), 497512.

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  • [11]

    Gradshteyn, I. S. and Ryzhik, I. M., Table of Integrals, Series, and Products, 6th edition, Academic Press, San Diego, 2000.

  • [12]

    Gilchrist, W., Statistical modelling with quantile functions, Chapman and Hall, CRC Press, 2000.

  • [13]

    Greenacre, M. J., Theory and applications of correspondence analysis, Academic Press, London, 1984.

  • [14]

    Malhotra, N. K., Pesquisa de Marketing: uma orientação aplicada, Bookman, Porto Alegre, 2006.

  • [15]

    Paranaíba, P. F., Ortega, E. M. M., Cordeiro, G. M. and Pescim, R. R., The beta Burr XII distribution with application to lifetime data, Computational Statistics and Data Analysis, 55 (2011), 11181136.

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  • [16]

    Pescim, R. R., Cordeiro, G. M., Demétrio, C. G. B., Ortega, E. M. M. and Nadarajah, S., The new class of Kummer beta generalized distributions. Statistics and Operations Research Transactions, 36 (2012), 153180.

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  • [17]

    Pescim, R. R., Demétrio, C. G. B., Cordeiro, G. M., Ortega, E. M. M. and Urbano, M. R., The beta generalized half-normal distribution, Computational Statistics and Data Analysis, 54 (2010), 945957.

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  • [18]

    Ramires, T. G., Ortega, E. M. M., Cordeiro, G. M. and Hamedani, G. G., The beta generalized half-normal geometric distribution. Studia Scientiarum Mathematicarum Hungarica, 50 (2013), 523554.

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  • [19]

    Ramires, T. G., Ortega, E. M. M., Cordeiro, G. M. and Hens, N., A bimodal flexible distribution for lifetime data, Journal of Statistical Computation and Simulation, 86 (2016), 24502470.

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  • [20]

    Steinbrecher, G. and Shaw, W. T., Quantile mechanics, European Journal of Applied Mathmatics, 19 (2008), 87112.

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Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

  • Imre BÁRÁNY (Rényi Institute of Mathematics)
  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
  • Penny HAXELL (University of Waterloo)
  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
  • Roy MESHULAM (Technion, Haifa)
  • Frédéric MEUNIER (École des Ponts ParisTech)
  • Márton NASZÓDI (ELTE, Budapest)
  • Eran NEVO (Hebrew University of Jerusalem)
  • János PACH (Rényi Institute of Mathematics)
  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
  • Martin TANCER (Charles University, Prague)
  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333
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Indexing and Abstracting Services:

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2021  
Web of Science  
Total Cites
WoS
589
Journal Impact Factor 0,739
Rank by Impact Factor Mathematics 229/332
Impact Factor
without
Journal Self Cites
0,710
5 Year
Impact Factor
0,654
Journal Citation Indicator 0,57
Rank by Journal Citation Indicator Mathematics 287/474
Scimago  
Scimago
H-index
26
Scimago
Journal Rank
0,265
Scimago Quartile Score Mathematics (miscellaneous) (Q3)
Scopus  
Scopus
Cite Score
1,3
Scopus
CIte Score Rank
General Mathematics 193/391 (Q2)
Scopus
SNIP
0,746

2020  
Total Cites 536
WoS
Journal
Impact Factor
0,855
Rank by Mathematics 189/330 (Q3)
Impact Factor  
Impact Factor 0,826
without
Journal Self Cites
5 Year 1,703
Impact Factor
Journal  0,68
Citation Indicator  
Rank by Journal  Mathematics 230/470 (Q2)
Citation Indicator   
Citable 32
Items
Total 32
Articles
Total 0
Reviews
Scimago 24
H-index
Scimago 0,307
Journal Rank
Scimago Mathematics (miscellaneous) Q3
Quartile Score  
Scopus 139/130=1,1
Scite Score  
Scopus General Mathematics 204/378 (Q3)
Scite Score Rank  
Scopus 1,069
SNIP  
Days from  85
submission  
to acceptance  
Days from  123
acceptance  
to publication  
Acceptance 16%
Rate

2019  
Total Cites
WoS
463
Impact Factor 0,468
Impact Factor
without
Journal Self Cites
0,468
5 Year
Impact Factor
0,413
Immediacy
Index
0,135
Citable
Items
37
Total
Articles
37
Total
Reviews
0
Cited
Half-Life
21,4
Citing
Half-Life
15,5
Eigenfactor
Score
0,00039
Article Influence
Score
0,196
% Articles
in
Citable Items
100,00
Normalized
Eigenfactor
0,04841
Average
IF
Percentile
13,117
Scimago
H-index
23
Scimago
Journal Rank
0,234
Scopus
Scite Score
76/104=0,7
Scopus
Scite Score Rank
General Mathematics 247/368 (Q3)
Scopus
SNIP
0,671
Acceptance
Rate
14%

 

Studia Scientiarum Mathematicarum Hungarica
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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation
1966
Volumes
per Year
1
Issues
per Year
4
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)