|
[1] M. Amini and A. Bozorgnia, Negatively dependent bounded random variable probability inequalities and strong low of large numbers, J. Appl. Math. Anal. 13(3) (2000), 261-267.
[2] A. Antoniadis, G. Gr'egoire and I. McKeague, Wavelet methods for curve estimation, J. Amer. Statist. Assoc. 89 (1994), 1340-1353.
[3] Y. P. Chaubey, H. Doosti and B. L. S. Prakasa Rao, Wavelet based estimation of the derivatives of a density for a negatively associated process, submitted, 2005.
[4] C. K. Chui, An Introduction the Wavelet, Academic Press, Boston, 1992.
[5] I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF regional conferences series in applied mathematics, SIAM, Philadelphia, 1992.
[6] D. L. Donoho, I. M. Johnstone, G. Kerkyacharian and D. Picard, Wavelet Shrinkage: Asymptotic? J. Roy. Stat. Soc. Ser B 57(2) (1995), 301-337.
[7] P. Hall and P. Patil, Formulate for integrated squared error of nonlinear wavelet-based density estimators, The Annals of Statistics 23(3) (1995), 905-928.
[8] K. J. Lee, H. Y. Seo and S. Y. Kim, The strong low of large numbers for arrayes of NA random variables, International Mathematical Forum 1(2) (2006), 83-91.
[9] E. Masry, Probability density estimation from dependent observations using wavelets orthonormal bases, Statist. Probab. Lett. 21 (1994), 181-194.
[10] Y. Meyer, Ondelettes et Operateurs, Hermann, Paris, 1990.
[11] B. L. S. Prakasa Rao, Wavelet linear density estimation for associated sequences, Journal of the Indian Statistical Association 41 (2003), 369-379 (with discussion), Journal of Royal Statistical Society Ser. B 57(2) (2003), 301-370.
[12] B. L. S. Prakasa Rao, Nonparametric estimation of the derivatives of a density by the method of wavelets, Bull. Inform. Cyb. 28 (1996), 91-100.
[13] B. L. S. Prakasa Rao, Estimation of the integrated squared density derivative by wavelets, Bull. Inform. Cyb. 31 (1999a), 47-65.
[14] B. L. S. Prakasa Rao, Wavelet linear density estimation for associated sequences, J. Indian Statist. Assoc. 41 (2003), 369-379.
[15] M. Rosenblatt, Stochastic Curve Estimation, NSF-CBMS Conference Series in Probability and Statistics, Vol. 3, Institute of Mathematical Statistics, Hayward, California, 1991.
[16] Q. M. Shao, A comparison theorem on moment inequalities between negatively associated and independent random variables, J. Theoretical Probab. 13 (2000), 343-356.
[17] B. Vidakovic, Statistical Modeling by Wavelets, Wiley, New York, 1999.
[18] G. Walter and J. Ghorai, Advantages and disadvantages of density estimation with wavelets, In Proceedings of the 24th Symp. on the Interface, H. Joseph Newton, ed., Interface FNA, VA 24 (1992), 234-343. |