Graphical methods for evaluating and comparing confidence-interval procedures
Operations Research
Properties of standardized time series weighted area variance estimators
Management Science
Simulation output analysis using standardized time series
Mathematics of Operations Research
Operations Research
Strong consistency and other properties of the spectral variance estimator
Management Science
An investigation of finite-sample behavior of confidence interval estimators
Operations Research
Variance of the sample mean: properties and graphs of quadratic-form estimators
Operations Research
Weighted batch means for confidence intervals in steady-state simulations
Management Science
Strong consistency of the variance estimator in steady-state simulation output analysis
Mathematics of Operations Research
On the batch means and area variance estimators
WSC '94 Proceedings of the 26th conference on Winter simulation
Batch size selection for the batch means method
WSC '94 Proceedings of the 26th conference on Winter simulation
Consistency of overlapping batch variances
WSC '94 Proceedings of the 26th conference on Winter simulation
Optimal mean-squared-error batch sizes
Management Science
On batch means in the simulation and statistics communities
WSC '95 Proceedings of the 27th conference on Winter simulation
WSC '95 Proceedings of the 27th conference on Winter simulation
Two-stage procedures for multiple comparisons with a control in steady-state simulations
WSC '96 Proceedings of the 28th conference on Winter simulation
Asymptotic and finite-sample correlations between OBM estimators
WSC '93 Proceedings of the 25th conference on Winter simulation
Interfaced variance estimators
WSC '93 Proceedings of the 25th conference on Winter simulation
Large-sample results for batch means
Management Science
Methods for selecting the best system
WSC '91 Proceedings of the 23rd conference on Winter simulation
SERVO: simulation experiments with random-vector output
WSC '91 Proceedings of the 23rd conference on Winter simulation
Small-sample theory for steady state confidence intervals
WSC '88 Proceedings of the 20th conference on Winter simulation
Minimal-MSE linear combinations of variance estimators of the sample mean
WSC '88 Proceedings of the 20th conference on Winter simulation
A comparison of confidence region estimators for multivariate simulation output
WSC '88 Proceedings of the 20th conference on Winter simulation
Multivariate estimation and variance reduction in terminating and steady-state simulation
WSC '88 Proceedings of the 20th conference on Winter simulation
Multivariate inference in stationary simulation using batch means
WSC '87 Proceedings of the 19th conference on Winter simulation
Correlation among estimators of the variance of the sample mean
WSC '87 Proceedings of the 19th conference on Winter simulation
On the relationship between batch means, overlapping means and spectral estimation
WSC '87 Proceedings of the 19th conference on Winter simulation
Power comparisons for the multivariate batch-means method
WSC' 90 Proceedings of the 22nd conference on Winter simulation
WSC' 90 Proceedings of the 22nd conference on Winter simulation
Interactive analysis of simulation output by the method of batch means
WSC '79 Proceedings of the 11th conference on Winter simulation - Volume 2
Overlapping batch means: something for nothing?
WSC '84 Proceedings of the 16th conference on Winter simulation
Output analysis: simulation output analysis
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Output analysis: analysis of simulation output
Proceedings of the 35th conference on Winter simulation: driving innovation
Simulation output analysis: a tutorial based on one research thread
WSC '04 Proceedings of the 36th conference on Winter simulation
Output analysis for simulations
Proceedings of the 38th conference on Winter simulation
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As an advanced tutorial, we discuss batching methods for determining point-estimator precision for steady-state simulation experiments. We emphasize batching methods in which each batch provides a point estimator analogous to that of the experiment, but we mention other methods that use batches, especially the more-general idea of standardized time series. Despite the preponderance of literature on confidence-interval estimation for the mean using adjacent nonoverlapping batches, we focus on estimating the point estimator's standard error and consider both general point estimators and general batching relationships. Literature on multivariate batching exists, but we focus on the univariate problem. We consider the initial-transient problem only in passing. Specific issues include form of the point estimator, definition of the batch statistics, form of the batch-statistics estimator, optimal batch size (including various definitions of optimal) and determining batch size. This paper is a short summary of the issues, with a fairly complete bibliography.