Bivariate semi α-Laplace distribution and processes

Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of...
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Autor*in:	Kuttykrishnan, A. P. [verfasserIn] Jayakumar, K.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2006

Schlagwörter:	Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution

Anmerkung:	© Springer-Verlag 2006

Übergeordnetes Werk:	Enthalten in: Statistical papers - Springer-Verlag, 1988, 49(2006), 2 vom: 03. Aug., Seite 303-313
Übergeordnetes Werk:	volume:49 ; year:2006 ; number:2 ; day:03 ; month:08 ; pages:303-313

Links:	Volltext

DOI / URN:	10.1007/s00362-006-0014-7

Katalog-ID:	OLC2025020406

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allfields	10.1007/s00362-006-0014-7 doi (DE-627)OLC2025020406 (DE-He213)s00362-006-0014-7-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Kuttykrishnan, A. P. verfasserin aut Bivariate semi α-Laplace distribution and processes 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution Jayakumar, K. aut Enthalten in Statistical papers Springer-Verlag, 1988 49(2006), 2 vom: 03. Aug., Seite 303-313 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:49 year:2006 number:2 day:03 month:08 pages:303-313 https://doi.org/10.1007/s00362-006-0014-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 49 2006 2 03 08 303-313
spelling	10.1007/s00362-006-0014-7 doi (DE-627)OLC2025020406 (DE-He213)s00362-006-0014-7-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Kuttykrishnan, A. P. verfasserin aut Bivariate semi α-Laplace distribution and processes 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution Jayakumar, K. aut Enthalten in Statistical papers Springer-Verlag, 1988 49(2006), 2 vom: 03. Aug., Seite 303-313 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:49 year:2006 number:2 day:03 month:08 pages:303-313 https://doi.org/10.1007/s00362-006-0014-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 49 2006 2 03 08 303-313
allfields_unstemmed	10.1007/s00362-006-0014-7 doi (DE-627)OLC2025020406 (DE-He213)s00362-006-0014-7-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Kuttykrishnan, A. P. verfasserin aut Bivariate semi α-Laplace distribution and processes 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution Jayakumar, K. aut Enthalten in Statistical papers Springer-Verlag, 1988 49(2006), 2 vom: 03. Aug., Seite 303-313 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:49 year:2006 number:2 day:03 month:08 pages:303-313 https://doi.org/10.1007/s00362-006-0014-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 49 2006 2 03 08 303-313
allfieldsGer	10.1007/s00362-006-0014-7 doi (DE-627)OLC2025020406 (DE-He213)s00362-006-0014-7-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Kuttykrishnan, A. P. verfasserin aut Bivariate semi α-Laplace distribution and processes 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution Jayakumar, K. aut Enthalten in Statistical papers Springer-Verlag, 1988 49(2006), 2 vom: 03. Aug., Seite 303-313 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:49 year:2006 number:2 day:03 month:08 pages:303-313 https://doi.org/10.1007/s00362-006-0014-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 49 2006 2 03 08 303-313
allfieldsSound	10.1007/s00362-006-0014-7 doi (DE-627)OLC2025020406 (DE-He213)s00362-006-0014-7-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Kuttykrishnan, A. P. verfasserin aut Bivariate semi α-Laplace distribution and processes 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution Jayakumar, K. aut Enthalten in Statistical papers Springer-Verlag, 1988 49(2006), 2 vom: 03. Aug., Seite 303-313 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:49 year:2006 number:2 day:03 month:08 pages:303-313 https://doi.org/10.1007/s00362-006-0014-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 49 2006 2 03 08 303-313
language	English
source	Enthalten in Statistical papers 49(2006), 2 vom: 03. Aug., Seite 303-313 volume:49 year:2006 number:2 day:03 month:08 pages:303-313
sourceStr	Enthalten in Statistical papers 49(2006), 2 vom: 03. Aug., Seite 303-313 volume:49 year:2006 number:2 day:03 month:08 pages:303-313
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Autoregressive process Geometric compound Functional equation Linnik/α-Laplace distribution Semi α-Laplace distribution Semi stable distribution
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container_title	Statistical papers
authorswithroles_txt_mv	Kuttykrishnan, A. P. @@aut@@ Jayakumar, K. @@aut@@
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author	Kuttykrishnan, A. P.
spellingShingle	Kuttykrishnan, A. P. ddc 300 misc Autoregressive process misc Geometric compound misc Functional equation misc Linnik/α-Laplace distribution misc Semi α-Laplace distribution misc Semi stable distribution Bivariate semi α-Laplace distribution and processes
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title	Bivariate semi α-Laplace distribution and processes
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title_full	Bivariate semi α-Laplace distribution and processes
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title_sort	bivariate semi α-laplace distribution and processes
title_auth	Bivariate semi α-Laplace distribution and processes
abstract	Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. © Springer-Verlag 2006
abstractGer	Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. © Springer-Verlag 2006
abstract_unstemmed	Abstract The Laplace distribution is considered as a better choice for modeling whenever data exhibit high kurtosis and heavier tails than Gaussian tails. Even though this is the case, not much work has been done on bivariate Laplace distribution. In this work, we introduce and study a new class of bivariate distributions called bivariate semi α-Laplace distribution, containing bivariate Laplace distributions. Three characterizations of bivariate semi α-Laplace distribution are obtained. Relation with bivariate semi stable distribution is established. An autoregressive model with bivariate semi α-Laplace marginal distributions is developed. © Springer-Verlag 2006
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title_short	Bivariate semi α-Laplace distribution and processes
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