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Title: Kaniadakis Gaussian distribution - Wikipedia

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(Top) https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution
1 Definitions https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Definitions
1.1 Probability density function https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Probability_density_function
1.2 Cumulative distribution function https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Cumulative_distribution_function
2 Properties https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Properties
2.1 Moments, mean and variance https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Moments,_mean_and_variance
2.2 Kurtosis https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Kurtosis
3 κ-Error function https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#κ-Error_function
4 Applications https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#Applications
5 See also https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#See_also
6 References https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#References
7 External links https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#External_links
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https://en.wikipedia.org/wiki/File:Kaniadakis_Gaussian_Distribution_Type_II_pdf.png
https://en.wikipedia.org/wiki/File:Kaniadakis_Gaussian_Distribution_Type_II_cdf.png
Parametershttps://en.wikipedia.org/wiki/Statistical_parameter
shapehttps://en.wikipedia.org/wiki/Shape_parameter
realhttps://en.wikipedia.org/wiki/Real_number
ratehttps://en.wikipedia.org/wiki/Rate_parameter
realhttps://en.wikipedia.org/wiki/Real_number
Supporthttps://en.wikipedia.org/wiki/Support_(mathematics)
PDFhttps://en.wikipedia.org/wiki/Probability_density_function
CDFhttps://en.wikipedia.org/wiki/Cumulative_distribution_function
Meanhttps://en.wikipedia.org/wiki/Expected_value
Medianhttps://en.wikipedia.org/wiki/Median
Modehttps://en.wikipedia.org/wiki/Mode_(statistics)
Variancehttps://en.wikipedia.org/wiki/Variance
Skewnesshttps://en.wikipedia.org/wiki/Skewness
Excess kurtosishttps://en.wikipedia.org/wiki/Excess_kurtosis
probability distributionhttps://en.wikipedia.org/wiki/Probability_distribution
Gaussian distributionhttps://en.wikipedia.org/wiki/Normal_distribution
Kaniadakis entropyhttps://en.wikipedia.org/wiki/Kaniadakis_statistics
[1]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-1
[2]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-:1-2
κ-Generalized Gamma distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Gamma_distribution
[3]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-:0-3
edithttps://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&action=edit§ion=1
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[3]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-:0-3
Kaniadakis entropyhttps://en.wikipedia.org/wiki/Kaniadakis_statistics
standard Normal distributionhttps://en.wikipedia.org/wiki/Standard_normal_distribution
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cumulative distribution functionhttps://en.wikipedia.org/wiki/Cumulative_distribution_function
Error functionhttps://en.wikipedia.org/wiki/Error_function
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https://en.wikipedia.org/wiki/File:Kappa_error_function_pdf.png
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Roothttps://en.wikipedia.org/wiki/Zero_of_a_function
Derivativehttps://en.wikipedia.org/wiki/Derivative
ordinary error functionhttps://en.wikipedia.org/wiki/Error_function
[3]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-:0-3
random variablehttps://en.wikipedia.org/wiki/Random_variable
edithttps://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&action=edit§ion=8
economyhttps://en.wikipedia.org/wiki/Economy
financial modelshttps://en.wikipedia.org/wiki/Financial_models_with_long-tailed_distributions_and_volatility_clustering
stock priceshttps://en.wikipedia.org/wiki/Stock_price
[4]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-4
inverse problemshttps://en.wikipedia.org/wiki/Inverse_problem
extreme statisticshttps://en.wikipedia.org/wiki/Extreme_value_theory
[2]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-:1-2
[5]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-5
[6]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-6
astrophysicshttps://en.wikipedia.org/wiki/Astrophysics
[7]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-7
[8]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-8
nuclear physicshttps://en.wikipedia.org/wiki/Nuclear_physics
[9]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-9
[10]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-10
cosmologyhttps://en.wikipedia.org/wiki/Cosmology
Friedmann–Robertson–Walker Universehttps://en.wikipedia.org/wiki/Friedmann–Lemaître–Robertson–Walker_metric
plasmas physicshttps://en.wikipedia.org/wiki/Plasma_(physics)
electron-acoustic double-layershttps://en.wikipedia.org/wiki/Electroacoustics
[11]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-11
Langmuir waveshttps://en.wikipedia.org/wiki/Langmuir_waves
[12]https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_note-12
edithttps://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&action=edit§ion=9
Giorgio Kaniadakishttps://en.wikipedia.org/wiki/Giorgio_Kaniadakis
Kaniadakis statisticshttps://en.wikipedia.org/wiki/Kaniadakis_statistics
Kaniadakis distributionhttps://en.wikipedia.org/wiki/Kaniadakis_distribution
Kaniadakis κ-Exponential distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Exponential_distribution
Kaniadakis κ-Gamma distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Gamma_distribution
Kaniadakis κ-Weibull distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Weibull_distribution
Kaniadakis κ-Logistic distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Logistic_distribution
Kaniadakis κ-Erlang distributionhttps://en.wikipedia.org/wiki/Kaniadakis_Erlang_distribution
edithttps://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&action=edit§ion=10
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-1
"A non-Gaussian option pricing model based on Kaniadakis exponential deformation"http://link.springer.com/10.1140/epjb/e2017-80112-x
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2017EPJB...90..179Mhttps://ui.adsabs.harvard.edu/abs/2017EPJB...90..179M
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10.1140/epjb/e2017-80112-xhttps://doi.org/10.1140%2Fepjb%2Fe2017-80112-x
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1434-6028https://search.worldcat.org/issn/1434-6028
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1https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-:1_2-0
2https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-:1_2-1
"Full-waveform inversion based on Kaniadakis statistics"https://link.aps.org/doi/10.1103/PhysRevE.101.053311
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2020PhRvE.101e3311Dhttps://ui.adsabs.harvard.edu/abs/2020PhRvE.101e3311D
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10.1103/PhysRevE.101.053311https://doi.org/10.1103%2FPhysRevE.101.053311
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2470-0045https://search.worldcat.org/issn/2470-0045
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1https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-:0_3-0
2https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-:0_3-1
3https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-:0_3-2
"New power-law tailed distributions emerging in κ-statistics (a)"https://iopscience.iop.org/article/10.1209/0295-5075/133/10002
arXivhttps://en.wikipedia.org/wiki/ArXiv_(identifier)
2203.01743https://arxiv.org/abs/2203.01743
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2021EL....13310002Khttps://ui.adsabs.harvard.edu/abs/2021EL....13310002K
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10.1209/0295-5075/133/10002https://doi.org/10.1209%2F0295-5075%2F133%2F10002
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234144356https://api.semanticscholar.org/CorpusID:234144356
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-4
"A non-Gaussian option pricing model based on Kaniadakis exponential deformation"http://link.springer.com/10.1140/epjb/e2017-80112-x
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2017EPJB...90..179Mhttps://ui.adsabs.harvard.edu/abs/2017EPJB...90..179M
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10.1140/epjb/e2017-80112-xhttps://doi.org/10.1140%2Fepjb%2Fe2017-80112-x
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1434-6028https://search.worldcat.org/issn/1434-6028
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254116243https://api.semanticscholar.org/CorpusID:254116243
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-5
"κ-generalization of Gauss' law of error"https://linkinghub.elsevier.com/retrieve/pii/S0375960105013630
arXivhttps://en.wikipedia.org/wiki/ArXiv_(identifier)
cond-mat/0505313https://arxiv.org/abs/cond-mat/0505313
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2006PhLA..348...89Whttps://ui.adsabs.harvard.edu/abs/2006PhLA..348...89W
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10.1016/j.physleta.2005.08.086https://doi.org/10.1016%2Fj.physleta.2005.08.086
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119003351https://api.semanticscholar.org/CorpusID:119003351
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-6
"An outlier-resistant κ -generalized approach for robust physical parameter estimation"https://linkinghub.elsevier.com/retrieve/pii/S0378437122003855
arXivhttps://en.wikipedia.org/wiki/ArXiv_(identifier)
2111.09921https://arxiv.org/abs/2111.09921
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2022PhyA..60027554Dhttps://ui.adsabs.harvard.edu/abs/2022PhyA..60027554D
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10.1016/j.physa.2022.127554https://doi.org/10.1016%2Fj.physa.2022.127554
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248803855https://api.semanticscholar.org/CorpusID:248803855
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-7
"Observational measurement of open stellar clusters: A test of Kaniadakis and Tsallis statistics"https://iopscience.iop.org/article/10.1209/0295-5075/91/69002
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2010EL.....9169002Chttps://ui.adsabs.harvard.edu/abs/2010EL.....9169002C
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10.1209/0295-5075/91/69002https://doi.org/10.1209%2F0295-5075%2F91%2F69002
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0295-5075https://search.worldcat.org/issn/0295-5075
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120902898https://api.semanticscholar.org/CorpusID:120902898
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-8
"Power law statistics and stellar rotational velocities in the Pleiades"https://iopscience.iop.org/article/10.1209/0295-5075/84/59001
arXivhttps://en.wikipedia.org/wiki/ArXiv_(identifier)
0903.0836https://arxiv.org/abs/0903.0836
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2008EL.....8459001Chttps://ui.adsabs.harvard.edu/abs/2008EL.....8459001C
doihttps://en.wikipedia.org/wiki/Doi_(identifier)
10.1209/0295-5075/84/59001https://doi.org/10.1209%2F0295-5075%2F84%2F59001
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0295-5075https://search.worldcat.org/issn/0295-5075
S2CIDhttps://en.wikipedia.org/wiki/S2CID_(identifier)
7123391https://api.semanticscholar.org/CorpusID:7123391
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-9
"The Doppler Broadening Function using the Kaniadakis distribution"https://linkinghub.elsevier.com/retrieve/pii/S030645491730155X
doihttps://en.wikipedia.org/wiki/Doi_(identifier)
10.1016/j.anucene.2017.06.057https://doi.org/10.1016%2Fj.anucene.2017.06.057
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-10
"Analytical solution for the Doppler broadening function using the Kaniadakis distribution"https://linkinghub.elsevier.com/retrieve/pii/S0306454918306224
doihttps://en.wikipedia.org/wiki/Doi_(identifier)
10.1016/j.anucene.2018.11.023https://doi.org/10.1016%2Fj.anucene.2018.11.023
S2CIDhttps://en.wikipedia.org/wiki/S2CID_(identifier)
125724227https://api.semanticscholar.org/CorpusID:125724227
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-11
"Electron-acoustic waves in a plasma with a κ -deformed Kaniadakis electron distribution"http://aip.scitation.org/doi/10.1063/1.4939477
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2016PhPl...23a4501Ghttps://ui.adsabs.harvard.edu/abs/2016PhPl...23a4501G
doihttps://en.wikipedia.org/wiki/Doi_(identifier)
10.1063/1.4939477https://doi.org/10.1063%2F1.4939477
ISSNhttps://en.wikipedia.org/wiki/ISSN_(identifier)
1070-664Xhttps://search.worldcat.org/issn/1070-664X
↑https://en.wikipedia.org/wiki/Kaniadakis_Gaussian_distribution#cite_ref-12
"The longitudinal plasmas modes of κ -deformed Kaniadakis distributed plasmas"http://aip.scitation.org/doi/10.1063/1.4976992
Bibcodehttps://en.wikipedia.org/wiki/Bibcode_(identifier)
2017PhPl...24b2125Chttps://ui.adsabs.harvard.edu/abs/2017PhPl...24b2125C
doihttps://en.wikipedia.org/wiki/Doi_(identifier)
10.1063/1.4976992https://doi.org/10.1063%2F1.4976992
ISSNhttps://en.wikipedia.org/wiki/ISSN_(identifier)
1070-664Xhttps://search.worldcat.org/issn/1070-664X
edithttps://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&action=edit§ion=11
Kaniadakis Statistics on arXiv.orghttps://arxiv.org/search/?query=kaniadakis+statistics&searchtype=all&abstracts=show&order=-announced_date_first&size=200
https://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&oldid=1313836109https://en.wikipedia.org/w/index.php?title=Kaniadakis_Gaussian_distribution&oldid=1313836109
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