TY - JOUR TT - POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE AU - Akdoğan, Yunus AU - Kuş, Coşkun AU - Kınacı., İsmail PY - 2014 DA - September JF - Istatistik Journal of The Turkish Statistical Association JO - IJTSA PB - Başbakanlık WT - DergiPark SN - 1300-4077 SP - 80 EP - 86 VL - 7 IS - 3 KW - Discrete Burr distribution KW - Maximum likelihood KW - ModiŞed maximum likelihood KW - Monte Carlosimulation KW - Proportion method N2 - In this study, maximum likelihood, proportion and modiŞed maximum likelihood estimators ofdiscrete Burr distribution parameters based on Type I censored sample are obtained. Monte Carlo simulationstudy is performed to compare these estimators in terms of their biases and mean squared errors. A numericalexample is also provided CR - Jazi, M.A., Lai, C.D. and Alamatsaz, M.H. (2009). A discrete inverse Weibull distribution and estimation of its parameters, Statistical Methodology, 7, 121-132. CR - Khan, M.S.A., Khalique, A. and Abouammoh, A.M. (1989). On estimating parameters in a discrete CR - Weibull distribution. IEEE Transactions on Reliability, 38 (3), 348-350. Kulasekera, K. B. (1994). Approximate MLE’s of the Parameters of a Discrete Weibull Distribution with Type I Censored Data.Microelection Reliability, 34(7), 1185-1188. CR - Krishna, H. and Pundir, P.S. (2009). Discrete Burr and discrete Pareto distributions.Statistical Method- ology, 6, 177-188. CR - Lee, K. R., Kapadia, C. H. and Dwight, B. B. (1980). On estimating the scale parameter of Rayleigh distribution from censored samples. Statistische Hefte, 21, 14-20. CR - Lawless, J.F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York. CR - Nakagawa, T. and Osaki, S. (1975). This discrete Weibull distribution. IEEE Transactions on Reliability, , 300-301. CR - Nelder, J.A. and Mead, R. (1969). A simplex method for function minimization. The Computer Journal, , 308-313. CR - Phyo, I. (1973). Use of a chain binomial in epidemiology of caries. Journal of Dental Research, 52, 752. CR - Roy, D. (2003). The discrete normal distribution.Communications in Statistics Theory and Methods, 32 (10), 1871-1883. CR - Roy, D. (2004). Discrete Rayleigh distribution. IEEE Transactions on Reliability, 53 (2), 255-260. CR - Sinha, S.K. (1986). Reliability and Life testing. Wiley Eastern Ltd, New Delphi. CR - Stein, W.E. and Dattero, R. (1984). A new discrete Weibull distribution. IEEE Transactions on Relia- bility, R-33, 196-197. CR - Tiku, M. L. and Akkaya, A. D. (2004). Robust Estimation and Hypothesis Testing. New Age Interna- tional, New Delhi. CR - Tiku, M. L. and Vaughan, D. C. (1997). Logistic and nonlogistic density functions in binary regression with nonstochastic covariates. Biometrical Journal, 39, 883-898. UR - https://dergipark.org.tr/en/pub/ijtsa/issue//494583 L1 - https://dergipark.org.tr/en/download/article-file/592512 ER -