TY - GEN
T1 - OBM confidence intervals
T2 - Winter Simulation Conference, WSC 2015
AU - Yeh, Yingchieh
AU - Schmeiser, Bruce
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2016/2/16
Y1 - 2016/2/16
N2 - Since the 1950s, nonoverlapping batch means (NBM) has been a basis for confidence-interval procedures (CIPs) for the mean of a steady-state time series. In 1985, overlapping batch means (OBM) was introduced as an alternative to NBM for estimating the standard error of the sample mean. Despite OBM's inherent efficiency, because the OBM statistic does not approach normality via the chi-squared distribution, no OBM CIP was introduced. We define two fixed-sample-size OBM CIPs. OBM1 is based on the result that asymptotically OBM has half again as many degrees of freedom as NBM. OBM2 does the same, but increases degrees of freedom. We argue that OBM's sampling distribution has skewness and kurtosis closer to normal than the chi-squared distribution. We show experimentally that for AR(1) processes the OBM CIPs perform better than NBM CIPs in terms of classic criteria and the VAMP1RE criterion. Finally, we introduce the concept of VAMP1RE-optimal batch sizes.
AB - Since the 1950s, nonoverlapping batch means (NBM) has been a basis for confidence-interval procedures (CIPs) for the mean of a steady-state time series. In 1985, overlapping batch means (OBM) was introduced as an alternative to NBM for estimating the standard error of the sample mean. Despite OBM's inherent efficiency, because the OBM statistic does not approach normality via the chi-squared distribution, no OBM CIP was introduced. We define two fixed-sample-size OBM CIPs. OBM1 is based on the result that asymptotically OBM has half again as many degrees of freedom as NBM. OBM2 does the same, but increases degrees of freedom. We argue that OBM's sampling distribution has skewness and kurtosis closer to normal than the chi-squared distribution. We show experimentally that for AR(1) processes the OBM CIPs perform better than NBM CIPs in terms of classic criteria and the VAMP1RE criterion. Finally, we introduce the concept of VAMP1RE-optimal batch sizes.
UR - http://www.scopus.com/inward/record.url?scp=84962789117&partnerID=8YFLogxK
U2 - 10.1109/WSC.2015.7408195
DO - 10.1109/WSC.2015.7408195
M3 - 會議論文篇章
AN - SCOPUS:84962789117
T3 - Proceedings - Winter Simulation Conference
SP - 551
EP - 561
BT - 2015 Winter Simulation Conference, WSC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 6 December 2015 through 9 December 2015
ER -