A generalized skew two-piece skew-normal distribution

Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributio...
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Gespeichert in:

Autor*in:	Jamalizadeh, A. [verfasserIn] Arabpour, A. R. Balakrishnan, N.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2009

Schlagwörter:	Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability

Anmerkung:	© Springer-Verlag 2009

Übergeordnetes Werk:	Enthalten in: Statistical papers - Springer-Verlag, 1988, 52(2009), 2 vom: 19. Juni, Seite 431-446
Übergeordnetes Werk:	volume:52 ; year:2009 ; number:2 ; day:19 ; month:06 ; pages:431-446

Links:	Volltext

DOI / URN:	10.1007/s00362-009-0240-x

Katalog-ID:	OLC2025022654

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allfields	10.1007/s00362-009-0240-x doi (DE-627)OLC2025022654 (DE-He213)s00362-009-0240-x-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Jamalizadeh, A. verfasserin aut A generalized skew two-piece skew-normal distribution 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability Arabpour, A. R. aut Balakrishnan, N. aut Enthalten in Statistical papers Springer-Verlag, 1988 52(2009), 2 vom: 19. Juni, Seite 431-446 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:52 year:2009 number:2 day:19 month:06 pages:431-446 https://doi.org/10.1007/s00362-009-0240-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_60 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 52 2009 2 19 06 431-446
spelling	10.1007/s00362-009-0240-x doi (DE-627)OLC2025022654 (DE-He213)s00362-009-0240-x-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Jamalizadeh, A. verfasserin aut A generalized skew two-piece skew-normal distribution 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability Arabpour, A. R. aut Balakrishnan, N. aut Enthalten in Statistical papers Springer-Verlag, 1988 52(2009), 2 vom: 19. Juni, Seite 431-446 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:52 year:2009 number:2 day:19 month:06 pages:431-446 https://doi.org/10.1007/s00362-009-0240-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_60 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 52 2009 2 19 06 431-446
allfields_unstemmed	10.1007/s00362-009-0240-x doi (DE-627)OLC2025022654 (DE-He213)s00362-009-0240-x-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Jamalizadeh, A. verfasserin aut A generalized skew two-piece skew-normal distribution 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability Arabpour, A. R. aut Balakrishnan, N. aut Enthalten in Statistical papers Springer-Verlag, 1988 52(2009), 2 vom: 19. Juni, Seite 431-446 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:52 year:2009 number:2 day:19 month:06 pages:431-446 https://doi.org/10.1007/s00362-009-0240-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_60 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 52 2009 2 19 06 431-446
allfieldsGer	10.1007/s00362-009-0240-x doi (DE-627)OLC2025022654 (DE-He213)s00362-009-0240-x-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Jamalizadeh, A. verfasserin aut A generalized skew two-piece skew-normal distribution 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability Arabpour, A. R. aut Balakrishnan, N. aut Enthalten in Statistical papers Springer-Verlag, 1988 52(2009), 2 vom: 19. Juni, Seite 431-446 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:52 year:2009 number:2 day:19 month:06 pages:431-446 https://doi.org/10.1007/s00362-009-0240-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_60 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 52 2009 2 19 06 431-446
allfieldsSound	10.1007/s00362-009-0240-x doi (DE-627)OLC2025022654 (DE-He213)s00362-009-0240-x-p DE-627 ger DE-627 rakwb eng 300 330 510 VZ Jamalizadeh, A. verfasserin aut A generalized skew two-piece skew-normal distribution 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability Arabpour, A. R. aut Balakrishnan, N. aut Enthalten in Statistical papers Springer-Verlag, 1988 52(2009), 2 vom: 19. Juni, Seite 431-446 (DE-627)129572292 (DE-600)227641-0 (DE-576)015069486 0932-5026 nnns volume:52 year:2009 number:2 day:19 month:06 pages:431-446 https://doi.org/10.1007/s00362-009-0240-x 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_60 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_4046 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4700 AR 52 2009 2 19 06 431-446
language	English
source	Enthalten in Statistical papers 52(2009), 2 vom: 19. Juni, Seite 431-446 volume:52 year:2009 number:2 day:19 month:06 pages:431-446
sourceStr	Enthalten in Statistical papers 52(2009), 2 vom: 19. Juni, Seite 431-446 volume:52 year:2009 number:2 day:19 month:06 pages:431-446
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability
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authorswithroles_txt_mv	Jamalizadeh, A. @@aut@@ Arabpour, A. R. @@aut@@ Balakrishnan, N. @@aut@@
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author	Jamalizadeh, A.
spellingShingle	Jamalizadeh, A. ddc 300 misc Skew-normal distribution misc Generalized skew-normal distribution misc Two-piece skew-normal distribution misc Generalized two-piece skew-normal distribution misc Generalized skew two-piece skew-normal distribution misc Unimodality and bimodality misc Orthant probability A generalized skew two-piece skew-normal distribution
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topic_title	300 330 510 VZ A generalized skew two-piece skew-normal distribution Skew-normal distribution Generalized skew-normal distribution Two-piece skew-normal distribution Generalized two-piece skew-normal distribution Generalized skew two-piece skew-normal distribution Unimodality and bimodality Orthant probability
topic	ddc 300 misc Skew-normal distribution misc Generalized skew-normal distribution misc Two-piece skew-normal distribution misc Generalized two-piece skew-normal distribution misc Generalized skew two-piece skew-normal distribution misc Unimodality and bimodality misc Orthant probability
topic_unstemmed	ddc 300 misc Skew-normal distribution misc Generalized skew-normal distribution misc Two-piece skew-normal distribution misc Generalized two-piece skew-normal distribution misc Generalized skew two-piece skew-normal distribution misc Unimodality and bimodality misc Orthant probability
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title	A generalized skew two-piece skew-normal distribution
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title_full	A generalized skew two-piece skew-normal distribution
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title_sort	a generalized skew two-piece skew-normal distribution
title_auth	A generalized skew two-piece skew-normal distribution
abstract	Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. © Springer-Verlag 2009
abstractGer	Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. © Springer-Verlag 2009
abstract_unstemmed	Abstract In this paper, we discuss a general class of skew two-piece skew-normal distributions, denoted by GSTPSN($ λ_{1} $, $ λ_{2} $, ρ). We derive its moment generating function and discuss some simple and interesting properties of this distribution. We then discuss the modes of these distributions and present a useful representation theorem as well. Next, we focus on a different generalization of the two-piece skew-normal distribution which is a symmetric family of distributions and discuss some of its properties. Finally, three well-known examples are used to illustrate the practical usefulness of this family of distributions. © Springer-Verlag 2009
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title_short	A generalized skew two-piece skew-normal distribution
url	https://doi.org/10.1007/s00362-009-0240-x
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up_date	2024-07-03T23:25:44.545Z
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