TY - JOUR

T1 - On choosing a single criterion for confidence-interval procedures

AU - Schmeiser, Bruce

AU - Yeh, Yingchieh

PY - 2002

Y1 - 2002

N2 - Stating a confidence interval is a traditional method of indicating the sampling error of a point estimator of a model's performance measure. We propose a single dimensionless criterion, inspired by Schruben's coverage function, for evaluating and comparing the statistical quality of confidence-interval procedures. Procedure quality is usually thought to be multidimensional, composed of the mean (and maybe the variance) of the interval-width distribution and the probability of covering the performance measure (and maybe other values). Our criterion, which we argue lies at the heart of what makes a confidence-interval procedure good or bad, compares a given procedure's intervals to those of an "ideal" procedure. For a given point estimator (such as the sample mean) and given experimental data process (such as a first-order autoregressive process with specified parameters), our single criterion is a function of only the sample size (or other rule that ends sampling).

AB - Stating a confidence interval is a traditional method of indicating the sampling error of a point estimator of a model's performance measure. We propose a single dimensionless criterion, inspired by Schruben's coverage function, for evaluating and comparing the statistical quality of confidence-interval procedures. Procedure quality is usually thought to be multidimensional, composed of the mean (and maybe the variance) of the interval-width distribution and the probability of covering the performance measure (and maybe other values). Our criterion, which we argue lies at the heart of what makes a confidence-interval procedure good or bad, compares a given procedure's intervals to those of an "ideal" procedure. For a given point estimator (such as the sample mean) and given experimental data process (such as a first-order autoregressive process with specified parameters), our single criterion is a function of only the sample size (or other rule that ends sampling).

UR - http://www.scopus.com/inward/record.url?scp=0036923789&partnerID=8YFLogxK

M3 - 會議論文

AN - SCOPUS:0036923789

SN - 0275-0708

VL - 1

SP - 345

EP - 352

JO - Winter Simulation Conference Proceedings

JF - Winter Simulation Conference Proceedings

T2 - Proceedings of the 2002 Winter Simulation Conference

Y2 - 8 December 2002 through 11 December 2002

ER -