The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
The Moment Generating Function of the Truncated Multi-Normal Distribution
Abstract
SUMMARY: In this paper the moment generating function (m.g.f.) of the truncated n-dimensional normal distribution is obtained. From the m.g.f., formulae for E(Xi) and E(Xi Xj) are derived, and are used to investigate certain special cases. Some applications of these results to statistical genetics are also discussed.
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Cites
Tables for Computing Bivariate Normal Probabilities
Owen, D. B. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728074 · Cited by 463
A REDUCTION FORMULA FOR NORMAL MULTIVARIATE INTEGRALS
PLACKETT, R. L. (1954) · Biometrika · doi:10.1093/biomet/41.3-4.351 · Cited by 273
A reduction formula for normal multivariate integrals
Plackett, R. L. (1954) · Biometrika · doi:10.2307/2332716 · Cited by 262
A Table for Computing Trivariate Normal Probabilities
Steck, G. P. (1958) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177706536 · Cited by 77
Selection for two correlated traits by independent culling levels
Young, S. S. Y., & Weiler, H. A. (1960) · Journal of Genetics · doi:10.1007/bf02987238 · Cited by 67
MEANS AND STANDARD DEVIATIONS OF A TRUNCATED NORMAL BIVARIATE DISTRIBUTION
Weiller, H. (1959) · Australian Journal of Statistics · doi:10.1111/j.1467-842x.1959.tb00277.x · Cited by 43
Cited by
On structural equation modeling with data that are not missing completely at random
Muthén, B., Kaplan, D., & Hollis, M. (1987) · Psychometrika · doi:10.1007/bf02294365 · Cited by 883
Consumption Inequality and Family Labor Supply
Blundell, R., Pistaferri, L., & Saporta-Eksten, I. (2016) · American Economic Review · doi:10.1257/aer.20121549 · Cited by 462
The Nonequivalence of High School Equivalents
Cameron, S., & Heckman, J. (1991) · National Bureau of Economic Research · doi:10.3386/w3804 · Cited by 422
Managing Advertising and Promotion for Long-Run Profitability
Jedidi, K., Mela, C. F., & Gupta, S. (1999) · Marketing Science · doi:10.1287/mksc.18.1.1 · Cited by 406
Access to Credit and Its Impact on Welfare in Malawi
(2001) · International Food Policy Research Institute eBooks · doi:10.2499/0896291197rr116 · Cited by 276
Metadata
- Authors
- Tallis, G. M.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1961-01-01
- Volume
- 23
- Issue
- 1
- Pages
- 223-229
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W159361115
- Cited by
- 352
- References
- 6
- FWCI
- 6.97
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tallis, G. M. (1961). The Moment Generating Function of the Truncated Multi-Normal Distribution. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1961.tb00408.x
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