Artikel
Classification and properties of acyclic discrete phase-type distributions based on geometric and shifted geometric distributions
Acyclic phase-type distributions form a versatile model, serving as approximations to many probability distributions in various circumstances. They exhibit special properties and characteristics that usually make their applications attractive. Compared to acyclic continuous phase-type (ACPH) distributions, acyclic discrete phase-type (ADPH) distributions and their subclasses (ADPH family) have received less attention in the literature. In this paper, we present the definition, properties, characteristics and PH representations of ADPH distributions and their subclasses with finite state space. Based on the definitions of geometric and shifted geometric distributions, we propose a distinct classification for the ADPH subclasses analogous to ACPH family. We develop the PH representation for each ADPH subclass and prove them through their closure properties. The advantage of our proposed classifications is in applying precise representations of each subclass and preventing miscalculation of the probability mass function, by computing the ADPH family based on geometric and shifted geometric distributions.
- Language
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Englisch
- Bibliographic citation
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Journal: Journal of Industrial Engineering International ; ISSN: 2251-712X ; Volume: 15 ; Year: 2019 ; Issue: 4 ; Pages: 651-665 ; Heidelberg: Springer
- Classification
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Management
- Subject
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Phase-type distribution
Acyclic discrete phase-type distribution (ADPH)
Classifcation of ADPH
Representations of ADPH
Geometric and shifted geometric distribution
- Event
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Geistige Schöpfung
- (who)
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Varmazyar, Mohsen
Akhavan-Tabatabaei, Raha
Salmasi, Nasser
Modarres, Mohammad
- Event
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Veröffentlichung
- (who)
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Springer
- (where)
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Heidelberg
- (when)
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2019
- DOI
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doi:10.1007/s40092-018-0299-x
- Handle
- Last update
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10.03.2025, 11:42 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Varmazyar, Mohsen
- Akhavan-Tabatabaei, Raha
- Salmasi, Nasser
- Modarres, Mohammad
- Springer
Time of origin
- 2019
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Modern differential geometric techniques in the theory of continuous distributions of dislocations
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