Generalization of the fractional poisson distribution
Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poiss...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Herrmann, Richard [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Anmerkung: |
© Diogenes Co., Sofia 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Fractional Calculus and Applied Analysis - SP Versita, 2011, 19(2016), 4 vom: Aug., Seite 832-842 |
|---|---|
| Übergeordnetes Werk: |
volume:19 ; year:2016 ; number:4 ; month:08 ; pages:832-842 |
| Links: |
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| DOI / URN: |
10.1515/fca-2016-0045 |
|---|
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SPR050371452 |
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| 520 | |a Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. | ||
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10.1515/fca-2016-0045 doi (DE-627)SPR050371452 (SPR)fca-2016-0045-e DE-627 ger DE-627 rakwb eng Herrmann, Richard verfasserin aut Generalization of the fractional poisson distribution 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Diogenes Co., Sofia 2016 Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. Enthalten in Fractional Calculus and Applied Analysis SP Versita, 2011 19(2016), 4 vom: Aug., Seite 832-842 (DE-627)SPR031753221 nnns volume:19 year:2016 number:4 month:08 pages:832-842 https://dx.doi.org/10.1515/fca-2016-0045 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 19 2016 4 08 832-842 |
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10.1515/fca-2016-0045 doi (DE-627)SPR050371452 (SPR)fca-2016-0045-e DE-627 ger DE-627 rakwb eng Herrmann, Richard verfasserin aut Generalization of the fractional poisson distribution 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Diogenes Co., Sofia 2016 Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. Enthalten in Fractional Calculus and Applied Analysis SP Versita, 2011 19(2016), 4 vom: Aug., Seite 832-842 (DE-627)SPR031753221 nnns volume:19 year:2016 number:4 month:08 pages:832-842 https://dx.doi.org/10.1515/fca-2016-0045 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 19 2016 4 08 832-842 |
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10.1515/fca-2016-0045 doi (DE-627)SPR050371452 (SPR)fca-2016-0045-e DE-627 ger DE-627 rakwb eng Herrmann, Richard verfasserin aut Generalization of the fractional poisson distribution 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Diogenes Co., Sofia 2016 Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. Enthalten in Fractional Calculus and Applied Analysis SP Versita, 2011 19(2016), 4 vom: Aug., Seite 832-842 (DE-627)SPR031753221 nnns volume:19 year:2016 number:4 month:08 pages:832-842 https://dx.doi.org/10.1515/fca-2016-0045 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 19 2016 4 08 832-842 |
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10.1515/fca-2016-0045 doi (DE-627)SPR050371452 (SPR)fca-2016-0045-e DE-627 ger DE-627 rakwb eng Herrmann, Richard verfasserin aut Generalization of the fractional poisson distribution 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Diogenes Co., Sofia 2016 Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. Enthalten in Fractional Calculus and Applied Analysis SP Versita, 2011 19(2016), 4 vom: Aug., Seite 832-842 (DE-627)SPR031753221 nnns volume:19 year:2016 number:4 month:08 pages:832-842 https://dx.doi.org/10.1515/fca-2016-0045 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 19 2016 4 08 832-842 |
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generalization of the fractional poisson distribution |
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Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. © Diogenes Co., Sofia 2016 |
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Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. © Diogenes Co., Sofia 2016 |
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Abstract A generalization of the Poisson distribution based on the generalized Mittag-Leffler function Eα,β(λ) is proposed and the raw moments are calculated algebraically in terms of Bell polynomials. It is demonstrated, that the proposed distribution function contains the standard fractional Poisson distribution as a subset. A possible interpretation of the additional parameter β is suggested. © Diogenes Co., Sofia 2016 |
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