The DOI matches its Crossref record.
The Nontruncated Marginal of a Truncated Bivariate Normal Distribution
Abstract
Inference is considered for the marginal distribution of X, when (X, Y) has a truncated bivariate normal distribution. The Y variable is truncated, but only the X values are observed. The relationship of this distribution to Azzalini's “skew-normal” distribution is obtained. Method of moments and maximum likelihood estimation are compared for the three-parameter Azzalini distribution. Samples that are uniformative about the skewness of this distribution may occur, even for large n. Profile likelihood methods are employed to describe the uncertainty involved in parameter estimation. A sample of 87 Otis test scores is shown to be well-described by this model.
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Citations
Cited by
The multivariate skew-normal distribution
Azzalini, A. (1996) · Biometrika · doi:10.1093/biomet/83.4.715 · Cited by 1,650
The Skew-Normal and Related Families
Azzalini, A., & Capitanio, A. (2013) · Cambridge University Press eBooks · doi:10.1017/cbo9781139248891 · Cited by 710
Teaching about Approximate Confidence Regions Based on Maximum Likelihood Estimation
Meeker, W. Q., & Escobar, L. A. (1995) · The American Statistician · doi:10.1080/00031305.1995.10476112 · Cited by 279
Self-citationPublication Bias in Meta-Analysis: Confidence Intervals for Rosenthal’s Fail-Safe Number
Fragkos, K. C., Tsagris, M., & Frangos, C. C. (2014) · International Scholarly Research Notices · doi:10.1155/2014/825383 · Cited by 159
Metadata
- Authors
- Arnold, B. C., Beaver, R. J., Groeneveld, R. A., & Meeker, W. Q.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1993-09
- Volume
- 58
- Issue
- 3
- Pages
- 471-488
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W1977938967
- Cited by
- 195
- References
- 0
- FWCI
- 1.39
- Type
- journal article
- Language
- en
- Open access
- closed
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