BibTex RIS Kaynak Göster

Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm

Yıl 2006, Cilt: 35 Sayı: 2, 203 - 211, 01.02.2006

Kaynakça

  • Adamidis, K. and Loukas, S. A life time distribution with decreasing failure rate, Statist. Probab. Lett. 39, 35–42, 1998.
  • Adamidis, K. An EM algorithm for estimating negative binomial parameters, Austral. & New Zealand J. Statist. 41 (2), 213–221, 1999.
  • Adamidis, K., Dimitrakopoulou, T. and Loukas, S. On an extension of the exponentialgeometric distribution, Statist. Probab. Lett. 73, 259–269, 2005.
  • Bairamov, I and Eryılmaz, S. Spacings, exceedances and concomitants in progressive Type II censoring scheme, J. Statist. Plann. Infer. 136, 527–536, 2006.
  • Balakrishnan, N. and Sandhu, R. A. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples, Sankhya-B 58 (1), 1–9, 1996.
  • Balakrishnan, N. and Aggarwala, R. Progressive Censoring:Theory, Methods and Applications (Birkh¨auser, Boston, 2000).
  • Balakrishnan N. and Lin, C. -T. Exact linear inference and prediction for exponential distributions based on general progressively Type-II censored samples, J. Statist. Comput. Simul. 72, 677–686, 2002.
  • Balakrishnan N., Kannan, N., Lin, C.-T. and Ng, H. K. T. Point and interval estimation for Gaussian distribution, based on progressively Type II censored samples, IEEE Trans. Reliab. 52, 90–95, 2003.
  • Balasooriya, U., Saw, S. L. C. and Gadag, V. Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42, 160–168, 2000.
  • Cohen, A. C. Progressively censored samples in life testing, Technometrics 5, 327–339, 1963.
  • Dempster, A.P., Laird, N. M. and Rubin, D. B. Maximum likelihood from incomplete data via the EM algorithm (with discussion), J. Roy. Statist. Soc. Ser. B 39, 1-38, 1977.
  • Fernandez A. J. On estimating exponential parameters with general Type-II progressive censoring, J. Statist. Plann. Infer. 121, 135–14 2004.
  • Karlis, D. An EM algorithm for multivariate Poisson distribution and related models, J. App. Statist. 30 (1), 63–77, 2003.
  • Ku¸s, C. 2006. A new lifetime distribution, Comp. Statist.& Data Analy., in press.
  • Little, R. J. A. and Rubin, D. B. Incomplete data, In: Kotz, S., Johnson, N. L. (Eds.), Encyclopedia of Statistical Sciences, Vol. 4 (Wiley, New York, pp. 46–53, 1983).
  • Mann, N. R. Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics 13, 521–533, 1971.
  • McLachlan, G. J., Krishnan, T. The EM Algorithm and Extensions (Wiley, New York, 1997).
  • Nelson, W. Applied Life Data Analysis (Wiley, New York, 1982).
  • Ng, H. K. T., Chan, P. S. and Balakrishnan N. Estimation of parameters from progressively censored data using EM algorithm, Comp. Statist.&Data Analy. 39, 371–386, 2002.
  • Thomas, D. R. and Wilson, W. M. Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples, Technometrics 14, 679–691, 1972.
  • Viveros, R. and Balakrishnan, N. Interval estimation of parameters of life from progressively censored data, Technometrics 36, 84–91, 1994.
  • Wu S. -J. Estimation of the parameters of the Weibull distribution with progressively censored data. J. Japan Statist. Soc. 32 (2), 155–163, 2002.
  • Wu S. -J., Chang, C. -T. and Tsai T.-R. Point and interval estimations for the Gompertz distribution under progressive Type-II censoring, METRON - Int. J.Statist. vol. LXI (3), 403–418, 2003.
  • Wong, J. Y. Simultaneously estimating the three Weibull parameters from progressively censored samples, Microelect. Reliab. 33, 2217-2224, 1993.

Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm

Yıl 2006, Cilt: 35 Sayı: 2, 203 - 211, 01.02.2006

Kaynakça

  • Adamidis, K. and Loukas, S. A life time distribution with decreasing failure rate, Statist. Probab. Lett. 39, 35–42, 1998.
  • Adamidis, K. An EM algorithm for estimating negative binomial parameters, Austral. & New Zealand J. Statist. 41 (2), 213–221, 1999.
  • Adamidis, K., Dimitrakopoulou, T. and Loukas, S. On an extension of the exponentialgeometric distribution, Statist. Probab. Lett. 73, 259–269, 2005.
  • Bairamov, I and Eryılmaz, S. Spacings, exceedances and concomitants in progressive Type II censoring scheme, J. Statist. Plann. Infer. 136, 527–536, 2006.
  • Balakrishnan, N. and Sandhu, R. A. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples, Sankhya-B 58 (1), 1–9, 1996.
  • Balakrishnan, N. and Aggarwala, R. Progressive Censoring:Theory, Methods and Applications (Birkh¨auser, Boston, 2000).
  • Balakrishnan N. and Lin, C. -T. Exact linear inference and prediction for exponential distributions based on general progressively Type-II censored samples, J. Statist. Comput. Simul. 72, 677–686, 2002.
  • Balakrishnan N., Kannan, N., Lin, C.-T. and Ng, H. K. T. Point and interval estimation for Gaussian distribution, based on progressively Type II censored samples, IEEE Trans. Reliab. 52, 90–95, 2003.
  • Balasooriya, U., Saw, S. L. C. and Gadag, V. Progressively censored reliability sampling plans for the Weibull distribution, Technometrics 42, 160–168, 2000.
  • Cohen, A. C. Progressively censored samples in life testing, Technometrics 5, 327–339, 1963.
  • Dempster, A.P., Laird, N. M. and Rubin, D. B. Maximum likelihood from incomplete data via the EM algorithm (with discussion), J. Roy. Statist. Soc. Ser. B 39, 1-38, 1977.
  • Fernandez A. J. On estimating exponential parameters with general Type-II progressive censoring, J. Statist. Plann. Infer. 121, 135–14 2004.
  • Karlis, D. An EM algorithm for multivariate Poisson distribution and related models, J. App. Statist. 30 (1), 63–77, 2003.
  • Ku¸s, C. 2006. A new lifetime distribution, Comp. Statist.& Data Analy., in press.
  • Little, R. J. A. and Rubin, D. B. Incomplete data, In: Kotz, S., Johnson, N. L. (Eds.), Encyclopedia of Statistical Sciences, Vol. 4 (Wiley, New York, pp. 46–53, 1983).
  • Mann, N. R. Best linear invariant estimation for Weibull parameters under progressive censoring, Technometrics 13, 521–533, 1971.
  • McLachlan, G. J., Krishnan, T. The EM Algorithm and Extensions (Wiley, New York, 1997).
  • Nelson, W. Applied Life Data Analysis (Wiley, New York, 1982).
  • Ng, H. K. T., Chan, P. S. and Balakrishnan N. Estimation of parameters from progressively censored data using EM algorithm, Comp. Statist.&Data Analy. 39, 371–386, 2002.
  • Thomas, D. R. and Wilson, W. M. Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples, Technometrics 14, 679–691, 1972.
  • Viveros, R. and Balakrishnan, N. Interval estimation of parameters of life from progressively censored data, Technometrics 36, 84–91, 1994.
  • Wu S. -J. Estimation of the parameters of the Weibull distribution with progressively censored data. J. Japan Statist. Soc. 32 (2), 155–163, 2002.
  • Wu S. -J., Chang, C. -T. and Tsai T.-R. Point and interval estimations for the Gompertz distribution under progressive Type-II censoring, METRON - Int. J.Statist. vol. LXI (3), 403–418, 2003.
  • Wong, J. Y. Simultaneously estimating the three Weibull parameters from progressively censored samples, Microelect. Reliab. 33, 2217-2224, 1993.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

C. Kus Bu kişi benim

M. F. Kaya Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2006
Yayımlandığı Sayı Yıl 2006 Cilt: 35 Sayı: 2

Kaynak Göster

APA Kus, C., & Kaya, M. F. (2006). Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm. Hacettepe Journal of Mathematics and Statistics, 35(2), 203-211.
AMA Kus C, Kaya MF. Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm. Hacettepe Journal of Mathematics and Statistics. Şubat 2006;35(2):203-211.
Chicago Kus, C., ve M. F. Kaya. “Estimation of Parameters of the Loglogistic Distribution Based on Progressive Censoring Using the EM Algorithm”. Hacettepe Journal of Mathematics and Statistics 35, sy. 2 (Şubat 2006): 203-11.
EndNote Kus C, Kaya MF (01 Şubat 2006) Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm. Hacettepe Journal of Mathematics and Statistics 35 2 203–211.
IEEE C. Kus ve M. F. Kaya, “Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm”, Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, ss. 203–211, 2006.
ISNAD Kus, C. - Kaya, M. F. “Estimation of Parameters of the Loglogistic Distribution Based on Progressive Censoring Using the EM Algorithm”. Hacettepe Journal of Mathematics and Statistics 35/2 (Şubat 2006), 203-211.
JAMA Kus C, Kaya MF. Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm. Hacettepe Journal of Mathematics and Statistics. 2006;35:203–211.
MLA Kus, C. ve M. F. Kaya. “Estimation of Parameters of the Loglogistic Distribution Based on Progressive Censoring Using the EM Algorithm”. Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, 2006, ss. 203-11.
Vancouver Kus C, Kaya MF. Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):203-11.