On the Normal Approximation for the Distribution of the Number of Simple or Compound Patterns in a Random Sequence of Multi-state Trials
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s11009-007-9019-5.pdf
Reference30 articles.
1. R. Arratia, L. Goldstein, and L. Gordon, “Poisson approximation and the Chen–Stein method,” Statistical Science vol. 5 pp. 403–434, 1990.
2. N. Balakrishnan and M. V. Koutras, Runs and Scans with Applications, Wiley: New York, 2002.
3. R. R. Bahadur,“Some limit theorems in statistics,” Regional Conference Series in Applied Mathematics, SIAM, 1971.
4. A. D. Barbour and O. Chryssaphinou, “Compound Poisson approximation: A user’s guide,” Annals of Applied Probability vol. 11 pp. 964–1002, 2001.
5. A. D. Barbour, O. Chryssaphinou, and M. Roos, “Compound Poisson approximation in reliability theory,” IEEE Transactions on Reliability vol. 44 pp. 393–402, 1995.
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