Volume 38 | Number 1 | Year 2016 | Article Id. IJMTT-V38P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P506
Dr. Han Ming (2005) is the first person who define E- Bayesian esti- mation of the estate probability. He also gave formulas of E- Bayesian es- timation, forecast model and its applications in security investment. This paper aims at providing the E- Bayesian estimation procedure for the probability parameter of the truncated Geometric distribution. Simula- tion study has been done at the end of the paper to study the performance of the estimators.
[1] Arnold, B. C. (1980). \Two Characterizations of the Geometric Distribu- tion." Journal of Applied Probability, 17, 570-573.
[2] Arnold, B. C. and Ghosh, M. (1976). \A Characterization of Geometric Distribution by Distributional Properties of Order Statistics." Scandinavian Acturial Journal.,4, 232-234.
[3] El-Neweihi, E. and Govindarajulu, Z. (1979).\Characterizations of Geomet- ric Distribution and Discrete IFR (DFR) Distributions Using Order Statis- tics." J. Statist. Planning Inf., 3, 85-90.
[4] Galambos, J. (1975). \Characterizations of probability distributions by properties of order statistics, II." In Statistical Distributions in Scientific Work,Vol. 3,ed. G. P. Patil, S. Kotz and J. K. Ord, eds. Reidel, Dordrecht- Holland.
[5] Govindarajulu , Z. (1980). \Characterization of the Geometric Distribution Using Properties of Order Statistics." J. Statist. Planning Inf., 4, 237-247.
[6] Han (2007). \M. E-Bayesian Estimation of Failure Probability and its Ap- plication." Math. Comput. Model., 45,1272-1279.
[7] Han (2009). \M. E-Bayesian Estimation and Hierarchical Bayesian Estima- tion of Failure Rate." Appl. Math. Model. 33, 1915-1922.
[8] Jusuf, S., Loll, P.J., Axelsen, P.H. (2002). \ The Role of Configurational En- tropy in Biochemical Cooperativity." J. Amer. Chem. Soc., 124(14), 3490- 3491.
[9] Shanbhag, D. N. (1970). \The Characterizations for Exponential and Geo- metric Distributions." J. Amer. Statist. Assoc., 65, 1256-1259.
[10] Srivastava, R. C. (1974). \Two Characterizations of the Geometric Distri- bution." J. Amer. Statist. Assoc., 69, 267-269.
[11] Srivastava, R. C. (1979). \Two Characterizations of the Geometric Distri- bution by Record Values." Sankhya, Series B, 40, 276-278.
[12] Xie, M. and Goh, T.N. (1997). \The Use of Probability Limits for Process Control Based on Geometric Distribution." International Journal of Quality and Reliability Management, 14 , 64-73.
Bhagwati Devi, Rahul Gupta, Parmil Kumar, "E- Bayesian Estimation of the Parameter of Truncated Geometric Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 38, no. 1, pp. 27-38, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V38P506