On Moments of the Noncentral Chi Distribution
Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Nadarajah, Saralees [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© Indian Statistical Institute 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Sankhya - Springer India, 1961, 85(2022), 1 vom: 01. Feb., Seite 803-807 |
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| Übergeordnetes Werk: |
volume:85 ; year:2022 ; number:1 ; day:01 ; month:02 ; pages:803-807 |
| Links: |
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| DOI / URN: |
10.1007/s13171-022-00278-3 |
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10.1007/s13171-022-00278-3 doi (DE-627)OLC2133589333 (DE-He213)s13171-022-00278-3-p DE-627 ger DE-627 rakwb eng 310 VZ Nadarajah, Saralees verfasserin aut On Moments of the Noncentral Chi Distribution 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Statistical Institute 2022 Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. Complementary error function Error function Modified Bessel function of the first kind Chan, Stephen (orcid)0000-0002-2312-2137 aut Enthalten in Sankhya Springer India, 1961 85(2022), 1 vom: 01. Feb., Seite 803-807 (DE-627)129474665 (DE-600)203149-8 (DE-576)014853116 0581-572X nnns volume:85 year:2022 number:1 day:01 month:02 pages:803-807 https://doi.org/10.1007/s13171-022-00278-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4266 AR 85 2022 1 01 02 803-807 |
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10.1007/s13171-022-00278-3 doi (DE-627)OLC2133589333 (DE-He213)s13171-022-00278-3-p DE-627 ger DE-627 rakwb eng 310 VZ Nadarajah, Saralees verfasserin aut On Moments of the Noncentral Chi Distribution 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Statistical Institute 2022 Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. Complementary error function Error function Modified Bessel function of the first kind Chan, Stephen (orcid)0000-0002-2312-2137 aut Enthalten in Sankhya Springer India, 1961 85(2022), 1 vom: 01. Feb., Seite 803-807 (DE-627)129474665 (DE-600)203149-8 (DE-576)014853116 0581-572X nnns volume:85 year:2022 number:1 day:01 month:02 pages:803-807 https://doi.org/10.1007/s13171-022-00278-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4266 AR 85 2022 1 01 02 803-807 |
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10.1007/s13171-022-00278-3 doi (DE-627)OLC2133589333 (DE-He213)s13171-022-00278-3-p DE-627 ger DE-627 rakwb eng 310 VZ Nadarajah, Saralees verfasserin aut On Moments of the Noncentral Chi Distribution 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Statistical Institute 2022 Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. Complementary error function Error function Modified Bessel function of the first kind Chan, Stephen (orcid)0000-0002-2312-2137 aut Enthalten in Sankhya Springer India, 1961 85(2022), 1 vom: 01. Feb., Seite 803-807 (DE-627)129474665 (DE-600)203149-8 (DE-576)014853116 0581-572X nnns volume:85 year:2022 number:1 day:01 month:02 pages:803-807 https://doi.org/10.1007/s13171-022-00278-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4266 AR 85 2022 1 01 02 803-807 |
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Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. © Indian Statistical Institute 2022 |
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Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. © Indian Statistical Institute 2022 |
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Abstract The mean of a noncentral chi random variable is usually expressed in terms a hypergeometric function. On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions. © Indian Statistical Institute 2022 |
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On a 17 pages paper, Lawrence [Sankhyā A. https://doi.org/10.1007/s13171-021-00262-3] derived simpler expressions for the mean, involving the modified Bessel function of the first kind and the error function. We show here that these expressions follow immediately from known relationships between the hypergeometric and modified Bessel / error functions.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Complementary error function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Error function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modified Bessel function of the first kind</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chan, Stephen</subfield><subfield code="0">(orcid)0000-0002-2312-2137</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Sankhya</subfield><subfield code="d">Springer India, 1961</subfield><subfield code="g">85(2022), 1 vom: 01. Feb., Seite 803-807</subfield><subfield code="w">(DE-627)129474665</subfield><subfield code="w">(DE-600)203149-8</subfield><subfield code="w">(DE-576)014853116</subfield><subfield code="x">0581-572X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:85</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:1</subfield><subfield code="g">day:01</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:803-807</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s13171-022-00278-3</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">85</subfield><subfield code="j">2022</subfield><subfield code="e">1</subfield><subfield code="b">01</subfield><subfield code="c">02</subfield><subfield code="h">803-807</subfield></datafield></record></collection>
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