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Large Sample Properties of Simulations Using Latin Hypercube Sampling
Abstract
Latin hypercube sampling (McKay, Conover, and Beckman 1979) is a method of sampling that can be used to produce input values for estimation of expectations of functions of output variables. The asymptotic variance of such an estimate is obtained. The estimate is also shown to be asymptotically normal. Asymptotically, the variance is less than that obtained using simple random sampling, with the degree of variance reduction depending on the degree of additivity in the function being integrated. A method for producing Latin hypercube samples when the components of the input variables are statistically dependent is also described. These techniques are applied to a simulation of the performance of a printer actuator.
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Cites
Cox, D. R., & Hinkley, D. V. (1974) · doi:10.1007/978-1-4899-2887-0 · Cited by 3,089
Cited by
Raissi, M., Perdikaris, P., & Karniadakis, G. E. (2019) · Journal of Computational Physics · doi:10.1016/j.jcp.2018.10.045 · Cited by 20,384
Bayesian calibration of computer models
Kennedy, M. C., & O'Hagan, A. (2001) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00294 · Cited by 4,222
Monte Carlo methods for security pricing
Boyle, P., Broadie, M., & Glasserman, P. (1997) · Journal of Economic Dynamics and Control · doi:10.1016/s0165-1889(97)00028-6 · Cited by 854
Analysis of variance designs for model output
Jansen, M. J. W. (1999) · Computer Physics Communications · doi:10.1016/s0010-4655(98)00154-4 · Cited by 650
A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics
Rahman, S., & Xu, H. (2004) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2004.04.003 · Cited by 567
Metadata
- Authors
- Stein, M.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1987-05
- Volume
- 29
- Issue
- 2
- Pages
- 143-151
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W4247680473
- Cited by
- 2,471
- References
- 1
- FWCI
- 2.97
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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