The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Asymptotic independence and limit theorems for positively and negatively dependent random variables
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For random variables which are associated or which exhibit certain related types of positive and negative dependence, the independence structure is largely determined by the covariance structure.We survey results of this sort with particular emphasis on limit theorems for partial sums of stationary sequences.
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Cites
Convergence of Probability Measures
Billingsley, P. (1999) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316962 · Cited by 13,910
Convergence of Probability Measures
Kingman, J. F. C., & Billingsley, P. (1969) · Revue de l'Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402124 · Cited by 6,812
Lehmann, E. L. (1966) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177699260 · Cited by 1,510
Negative Association of Random Variables with Applications
Joag-Dev, K., & Proschan, F. (1983) · The Annals of Statistics · doi:10.1214/aos/1176346079 · Cited by 1,486
Lehmann, E. L. (2012) · Selected Works of E. L. Lehmann · doi:10.1007/978-1-4614-1412-4_64 · Cited by 1,332
Association of Random Variables, with Applications
Esary, J. D., Proschan, F., & Walkup, D. W. (1967) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177698701 · Cited by 1,223
Correlation inequalities on some partially ordered sets
Fortuin, C. M., Kasteleyn, P. W., & Ginibre, J. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01651330 · Cited by 1,096
Karlin, S., & Rinott, Y. (1980) · Journal of Multivariate Analysis · doi:10.1016/0047-259x(80)90065-2 · Cited by 616
A lower bound for the critical probability in a certain percolation process
Harris, T. E. (1960) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100034241 · Cited by 589
Normal fluctuations and the FKG inequalities
Newman, C. M. (1980) · Communications in Mathematical Physics · doi:10.1007/bf01197754 · Cited by 316
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A note on the almost sure convergence of sums of negatively dependent random variables
Matuła, P. (1992) · Statistics & Probability Letters · doi:10.1016/0167-7152(92)90191-7 · Cited by 324
A stochastic theory of community food webs I. Models and aggregated data
Cohen, J. E., & Newman, C. M. (1985) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1985.0042 · Cited by 276
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Metadata
- Authors
- Newman, C. M.
- Venue
- Institute of Mathematical Statistics Lecture Notes - Monograph Series
- Publisher
- Institute of Mathematical Statistics
- Published
- 1984
- Pages
- 127-140
- ISSN
- 0749-2170 (ISSN-L)
- OpenAlex
- W1509845037
- Cited by
- 356
- References
- 20
- FWCI
- 16.05
- Type
- book chapter
- Language
- en
- Open access
- bronze
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