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CHARACTERIZATION OF THE GENERALIZED POLYA PROCESS AND ITS APPLICATIONS

Title
CHARACTERIZATION OF THE GENERALIZED POLYA PROCESS AND ITS APPLICATIONS
Authors
Cha, Ji Hwan
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2014
Journal Title
ADVANCES IN APPLIED PROBABILITY
ISSN
0001-8678JCR Link1475-6064JCR Link
Citation
vol. 46, no. 4, pp. 1148 - 1171
Keywords
Generalized Polya processrestarting propertydistribution of the number of eventsconditional arrival time distributionrepair typereliability application
Publisher
APPLIED PROBABILITY TRUST
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In this paper some important properties of the generalized Polya process are derived and their applications are discussed. The generalized Polya process is defined based on the stochastic intensity. By interpreting the defined stochastic intensity of the generalized Polya process, the restarting property of the process is discussed. Based on the restarting property of the process, the joint distribution of the number of events is derived and the conditional joint distribution of the arrival times is also obtained. In addition, some properties of the compound process defined for the generalized Polya process are derived. Furthermore, a new type of repair is defined based on the process and its application to the area of reliability is discussed. Several examples illustrating the applications of the obtained properties to various areas are suggested.
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자연과학대학 > 통계학전공 > Journal papers
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