SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Annals of Applied Probability

Volumn 16, Issue 1, 2006, Pages 423-447

Some strong limit theorems for the largest entries of sample correlation matrices

(2) Li, Deli a Rosalsky, Andrew b,c

a LAKEHEAD UNIVERSITY (Canada)

b UNIVERSITY OF FLORIDA (United States)

c Lakehead University ^* (United States)

Author keywords

Almost sure convergence; Largest entries of sample correlation matrices; Law of the logarithm; Strong law of large numbers

Indexed keywords

EID: 33645677536 PISSN: 10505164 EISSN: 10505164 Source Type: Journal
DOI: 10.1214/105051605000000773 Document Type: Article

Times cited : (35)

References (13)

1
- 0040977035
- On limit theorems for probabilities of moderate deviations
- In Russian
- AMOSOVA, N. N. (1972). On limit theorems for probabilities of moderate deviations. Vestnik Leningrad. Univ. No. 13 Mat. Meth. Astronom. 35-14. (In Russian.)
- (1972) Vestnik Leningrad. Univ. No. 13 Mat. Meth. Astronom. , vol.3 , pp. 5-14
- Amosova, N.N.¹

2
- 33645688748
- English translation
- MR331484
- English translation in Vestnik Leningrad Univ. Math. 5 (1978) 197-210. MR331484
- (1978) Vestnik Leningrad Univ. Math. , vol.5 , pp. 197-210

3
- 0003648234
- Wiley, New York. MR771294
- ANDERSON, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd ed. Wiley, New York. MR771294
- (1984) An Introduction to Multivariate Statistical Analysis, 2nd Ed.
- Anderson, T.W.¹

4
- 0002005293
- Two moments suffice for Poisson approximations: The Chen-Stein method
- MR972770
- ARRATIA, R., GOLDSTEIN, L. and GORDON, L. (1989). Two moments suffice for Poisson approximations: The Chen-Stein method. Ann. Probab. 17 9-25. MR972770
- (1989) Ann. Probab. , vol.17 , pp. 9-25
- Arratia, R.¹ Goldstein, L.² Gordon, L.³

5
- 84968512234
- Convergence rates in the law of large numbers
- MR198524
- BAUM, L. E. and KATZ, M. (1965). Convergence rates in the law of large numbers. Trans. Amer. Math. Soc. 120 108-123. MR198524
- (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 108-123
- Baum, L.E.¹ Katz, M.²

6
- 0346061723
- High-dimensional data analysis: The curses and blessings of dimensionality
- DONOHO, D. L. (2000). High-dimensional data analysis: The curses and blessings of dimensionality. Lecture on August 8, 2000 to the American Mathematical Society "Math Challenges of the 21st Century." Available at http://www-stat.stanford.edu/~donoho/.
- (2000) Lecture on August 8, 2000 to the American Mathematical Society "Math Challenges of the 21st Century."
- Donoho, D.L.¹

7
- 0001017771
- Sums of independent Banach space valued random variables
- MR356155
- HOFFMANN-JØRGENSEN, J. (1974). Sums of independent Banach space valued random variables. Studia Math. 52 159-186. MR356155
- (1974) Studia Math. , vol.52 , pp. 159-186
- Hoffmann-Jørgensen, J.¹

8
- 11244330494
- The asymptotic distributions of the largest entries of sample correlation matrices
- MR2052906
- JIANG, T. (2004). The asymptotic distributions of the largest entries of sample correlation matrices. Ann. Appl. Probab. 14 865-880. MR2052906
- (2004) Ann. Appl. Probab. , vol.14 , pp. 865-880
- Jiang, T.¹

9
- 0035641726
- On the distribution of the largest eigenvalue in principal components analysis
- MR1863961
- JOHNSTONE, I. M. (2001). On the distribution of the largest eigenvalue in principal components analysis. Ann. Statist. 29 295-327. MR1863961
- (2001) Ann. Statist. , vol.29 , pp. 295-327
- Johnstone, I.M.¹

10
- 0000400695
- Limit theorems for delayed sums
- MR356193
- LAI, T. L. (1974). Limit theorems for delayed sums. Ann. Probab. 2 432-440. MR356193
- (1974) Ann. Probab. , vol.2 , pp. 432-440
- Lai, T.L.¹

11
- 17844393074
- Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables
- MR2128774
- Li, D. and ROSALSKY, A. (2004). Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables. Internat. J. Math. Math. Sci. 2004 3565-3576. MR2128774
- (2004) Internat. J. Math. Math. Sci. , vol.2004 , pp. 3565-3576
- Li, D.¹ Rosalsky, A.²

12
- 0004115576
- Clarendon Press, Oxford. MR1353441
- PETROV, V. V. (1995). Limit Theorems of Probability Theory: Sequences of Independent Random Variables. Clarendon Press, Oxford. MR1353441
- (1995) Limit Theorems of Probability Theory: Sequences of Independent Random Variables
- Petrov, V.V.¹

13
- 0009990226
- Probabilities of moderate deviations
- MR203783
- RUBIN, H. and SETHURAMAN, J. (1965). Probabilities of moderate deviations. Sankhyā Ser. A 27 325-346. MR203783
- (1965) Sankhyā Ser. A , vol.27 , pp. 325-346
- Rubin, H.¹ Sethuraman, J.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.