نقش استقلال آماری در یافتن براوردگرهای بهینه

منابع

[1] پارسیان، ا، 1380، برآورد نقطه‌ای نا اریب، ندا، انجمن آمار ایران، سال اول، شماره اول، ص ص 9-14.

[2] محمدی حسن آبادی، ع ا، 1372، جبر، انتشارات دانشگاه اصفهان.

[3] Barton, D.E, 1961, Unbiased Estimation of a Set of Probabilities, Biometrika, 48, pp.227-229.

[4] Basu, D., 1955, On Statistics Independent of a Complete Sufficient Statistic, Sankhya, 15, pp.377-380.

[5] Basu, A. P., 1964, Estimates of Reliability for some Distributions Useful in Life Testing, Technometrics, 6, pp.215-219.

[6] Casella, G. and Berger, R., 2001, Statistical Inference, 2nd Edition, Wadsworth, Pacific Groves, California.

[7] Eaton, M.L. , Multivariate Statistics, A Vector Space Approach. Wiley, New York,1983

[8] Eaton, M.L. and Morris, C.N., 1970, The Application of Invariance to Unbiased Estimation, Ann. Math. Statist., 41, pp.1708-1716.

[9] Finney, D.J., 1941, On the Distribution of a Variate whose Logarithm is Normally Distributed, J. R. Stat. Soc. Suppl., 7, pp. 155-161.

[10] Kolmogorov, A.N. 1950, Unbiased Estimators, Izvestiaa Akad. Nauk SSSR Series Math., 14, pp.303-326.

[11] Lehmann, E. L. 1951, A General Concept of Unbiasedness, Ann. Math. Statist., 22, pp.587–592.

[12] Lehmann, E.L. and Casella, G., 1998, Theory of Point Estimation, 2nd Edition, Springer-Verlag, New York.

[13] Lieberman, G. J. and Resnikoff, G. J., 1955, Sampling Plans for Inspection by Variables, J. Amer. Statist. Assoc., 50, pp.457- 516.

[14] Parsian, A and Kirmani, S.N.U.A., 2001, Estimation Under LINEX Loss Function, Handbook of Applied Econometrics and Statistical Inference, eds. Uplah et al, Ch. 4, pp. 53-76.

[15] Rao, C.R., 1973, Linear Statistical Inference and its Applications, 2nd Edition, Wiley, New York.

[16] Sathe, Y.S. and Varde, S.R., 1969, On Minimum Variance Unbiased Estimation of Reliability, Ann. Math. Statist., 40, pp.710-714.

[17] Shen, W.H., 1998, Estimation of Parameters of a Lognormal Distribution, Taiwanese J. of Math., 2, pp.243-250.

[18] Zacks, S., 1971, The Theory of Statistical Inference,Johns Wiley and Sons,New York.