TY - GEN
T1 - Mean and Variance of an Alternating Geometric Process
AU - Arnold, Richard
AU - Chukova, Stefanka
AU - Hayakawa, Yu
AU - Marshall, Sarah
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/8
Y1 - 2020/8
N2 - In this paper we use an alternating geometric process (AGP) to model the operational and repair times of a system. We derive new results for the mean and variance functions of two counting processes related to the AGP, namely the number of cycles up to time t and the number of failures up to time t. We propose a method to compute these functions and demonstrate our approach using numerical examples.
AB - In this paper we use an alternating geometric process (AGP) to model the operational and repair times of a system. We derive new results for the mean and variance functions of two counting processes related to the AGP, namely the number of cycles up to time t and the number of failures up to time t. We propose a method to compute these functions and demonstrate our approach using numerical examples.
KW - Alternating geometric process (AGP)
KW - Geometric process
KW - mean function of AGP
KW - variance function of AGP
UR - http://www.scopus.com/inward/record.url?scp=85093941288&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85093941288&partnerID=8YFLogxK
U2 - 10.1109/APARM49247.2020.9209562
DO - 10.1109/APARM49247.2020.9209562
M3 - Conference contribution
AN - SCOPUS:85093941288
T3 - 2020 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, APARM 2020
BT - 2020 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, APARM 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, APARM 2020
Y2 - 20 August 2020 through 23 August 2020
ER -