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POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE

Year 2014, Volume: 7 Issue: 3, 80 - 86, 01.09.2014

Yunus Akdoğan Coşkun Kuş İsmail Kınacı.

Abstract

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

Keywords

Discrete Burr distribution Maximum likelihood ModiŞed maximum likelihood Monte Carlosimulation Proportion method

References

  • 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.
  • Khan, M.S.A., Khalique, A. and Abouammoh, A.M. (1989). On estimating parameters in a discrete
  • 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.
  • Krishna, H. and Pundir, P.S. (2009). Discrete Burr and discrete Pareto distributions.Statistical Method- ology, 6, 177-188.
  • 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.
  • Lawless, J.F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
  • Nakagawa, T. and Osaki, S. (1975). This discrete Weibull distribution. IEEE Transactions on Reliability, , 300-301.
  • Nelder, J.A. and Mead, R. (1969). A simplex method for function minimization. The Computer Journal, , 308-313.
  • Phyo, I. (1973). Use of a chain binomial in epidemiology of caries. Journal of Dental Research, 52, 752.
  • Roy, D. (2003). The discrete normal distribution.Communications in Statistics Theory and Methods, 32 (10), 1871-1883.
  • Roy, D. (2004). Discrete Rayleigh distribution. IEEE Transactions on Reliability, 53 (2), 255-260.
  • Sinha, S.K. (1986). Reliability and Life testing. Wiley Eastern Ltd, New Delphi.
  • Stein, W.E. and Dattero, R. (1984). A new discrete Weibull distribution. IEEE Transactions on Relia- bility, R-33, 196-197.
  • Tiku, M. L. and Akkaya, A. D. (2004). Robust Estimation and Hypothesis Testing. New Age Interna- tional, New Delhi.
  • Tiku, M. L. and Vaughan, D. C. (1997). Logistic and nonlogistic density functions in binary regression with nonstochastic covariates. Biometrical Journal, 39, 883-898.

Year 2014, Volume: 7 Issue: 3, 80 - 86, 01.09.2014

Yunus Akdoğan Coşkun Kuş İsmail Kınacı.

Abstract

References

  • 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.
  • Khan, M.S.A., Khalique, A. and Abouammoh, A.M. (1989). On estimating parameters in a discrete
  • 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.
  • Krishna, H. and Pundir, P.S. (2009). Discrete Burr and discrete Pareto distributions.Statistical Method- ology, 6, 177-188.
  • 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.
  • Lawless, J.F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
  • Nakagawa, T. and Osaki, S. (1975). This discrete Weibull distribution. IEEE Transactions on Reliability, , 300-301.
  • Nelder, J.A. and Mead, R. (1969). A simplex method for function minimization. The Computer Journal, , 308-313.
  • Phyo, I. (1973). Use of a chain binomial in epidemiology of caries. Journal of Dental Research, 52, 752.
  • Roy, D. (2003). The discrete normal distribution.Communications in Statistics Theory and Methods, 32 (10), 1871-1883.
  • Roy, D. (2004). Discrete Rayleigh distribution. IEEE Transactions on Reliability, 53 (2), 255-260.
  • Sinha, S.K. (1986). Reliability and Life testing. Wiley Eastern Ltd, New Delphi.
  • Stein, W.E. and Dattero, R. (1984). A new discrete Weibull distribution. IEEE Transactions on Relia- bility, R-33, 196-197.
  • Tiku, M. L. and Akkaya, A. D. (2004). Robust Estimation and Hypothesis Testing. New Age Interna- tional, New Delhi.
  • Tiku, M. L. and Vaughan, D. C. (1997). Logistic and nonlogistic density functions in binary regression with nonstochastic covariates. Biometrical Journal, 39, 883-898.
There are 15 citations in total.

Details

Other ID JA87KA97KB
Journal Section Research Article
Authors

Yunus Akdoğan This is me

Coşkun Kuş This is me

İsmail Kınacı. This is me

Publication Date September 1, 2014
Published in Issue Year 2014 Volume: 7 Issue: 3

Cite

APA Akdoğan, Y., Kuş, C., & Kınacı., İ. (2014). POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE. Istatistik Journal of The Turkish Statistical Association, 7(3), 80-86.
AMA Akdoğan Y, Kuş C, Kınacı. İ. POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE. IJTSA. September 2014;7(3):80-86.
Chicago Akdoğan, Yunus, Coşkun Kuş, and İsmail Kınacı. “POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE”. Istatistik Journal of The Turkish Statistical Association 7, no. 3 (September 2014): 80-86.
EndNote Akdoğan Y, Kuş C, Kınacı. İ (September 1, 2014) POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE. Istatistik Journal of The Turkish Statistical Association 7 3 80–86.
IEEE Y. Akdoğan, C. Kuş, and İ. Kınacı., “POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE”, IJTSA, vol. 7, no. 3, pp. 80–86, 2014.
ISNAD Akdoğan, Yunus et al. “POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE”. Istatistik Journal of The Turkish Statistical Association 7/3 (September 2014), 80-86.
JAMA Akdoğan Y, Kuş C, Kınacı. İ. POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE. IJTSA. 2014;7:80–86.
MLA Akdoğan, Yunus et al. “POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE”. Istatistik Journal of The Turkish Statistical Association, vol. 7, no. 3, 2014, pp. 80-86.
Vancouver Akdoğan Y, Kuş C, Kınacı. İ. POINT ESTIMATION OF PARAMETERS IN DISCRETE BURR DISTRIBUTION BASED ON TYPE. IJTSA. 2014;7(3):80-6.