PROBABILITY MODELS AND LIKELIHOOD FUNCTIONS FOR WINDOW CENSORED REPAIR PROCESS

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AHMADI JAFAR; RAZMKHAH MANSOUREH

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2017 | Volume:11 | Issue:1 Page(s): 1-15

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Title

PROBABILITY MODELS AND LIKELIHOOD FUNCTIONS FOR WINDOW CENSORED REPAIR PROCESS

Author(s)

AHMADI JAFAR | RAZMKHAH MANSOUREH | Issue Writer Certificate

Keywords

RENEWAL PROCESSQ1

MINIMAL REPAIRQ1

COMPLETE REPAIRQ1

WINDOW CENSORINGQ1

MAXIMUM LIKELIHOOD ESTIMATORQ1

FISHER INFORMATIONQ1

Abstract

Consider a repairable system which starts operating at t=0. Once the system fails, it is immediately replaced by another one of the same type or it is repaired and back to its working functions. In this paper, the system's activity is studied from t>0 for a fixed period of time w. Different replacement policies are considered. In each cases, for a fixed period of time w, the probability model and likelihood function of repair process, say window censored, are obtained. The obtained results depend on the lifetime distribution of the original system, so, expression for the MAXIMUM LIKELIHOOD ESTIMATOR and FISHER INFORMATION are derived, by assuming the lifetime follows an exponential distribution.

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APA: Copy

AHMADI, JAFAR, & RAZMKHAH, MANSOUREH. (2017). PROBABILITY MODELS AND LIKELIHOOD FUNCTIONS FOR WINDOW CENSORED REPAIR PROCESS. JOURNAL OF STATISTICAL SCIENCES, 11(1 ), 1-15. SID. https://sid.ir/paper/124082/en

Vancouver: Copy

AHMADI JAFAR, RAZMKHAH MANSOUREH. PROBABILITY MODELS AND LIKELIHOOD FUNCTIONS FOR WINDOW CENSORED REPAIR PROCESS. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2017;11(1 ):1-15. Available from: https://sid.ir/paper/124082/en

IEEE: Copy

JAFAR AHMADI, and MANSOUREH RAZMKHAH, “PROBABILITY MODELS AND LIKELIHOOD FUNCTIONS FOR WINDOW CENSORED REPAIR PROCESS,” JOURNAL OF STATISTICAL SCIENCES, vol. 11, no. 1 , pp. 1–15, 2017, [Online]. Available: https://sid.ir/paper/124082/en

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