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The semi-geometric process and some properties
- Source :
- IMA Journal of Management Mathematics. 29:229-245
- Publication Year :
- 2017
- Publisher :
- Oxford University Press (OUP), 2017.
-
Abstract
- The geometric process has been widely applied in reliability engineering and other areas since its introduction. One of its assumptions is that the times between occurrences of events are independent. This assumption is rather restrictive and can limit its application in the real world. This paper extends the geometric process to a new process, which we call the semi-geometric process, by relaxing this assumption. Some probabilistic properties of the process are derived and parameter estimation is described. A numerical example, based on a real-world dataset, is used to illustrate the model and validate the estimation methodology.
- Subjects :
- Mathematical optimization
021103 operations research
Estimation theory
Computer science
Applied Mathematics
Strategy and Management
0211 other engineering and technologies
Probabilistic logic
Process (computing)
02 engineering and technology
Management Science and Operations Research
01 natural sciences
Management Information Systems
Geometric process
HA33
010104 statistics & probability
Modeling and Simulation
Limit (mathematics)
0101 mathematics
General Economics, Econometrics and Finance
Subjects
Details
- ISSN :
- 14716798 and 1471678X
- Volume :
- 29
- Database :
- OpenAIRE
- Journal :
- IMA Journal of Management Mathematics
- Accession number :
- edsair.doi.dedup.....a72df0039d1776937262daf3daaa96a7