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İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ

Year 2005, Issue: 2, 1 - 15, 26.08.2011

Abstract

Bu çalışmada, Düzgün(β,θ ) dağılımın θ ve β parametrelerinin ilerleyen tür tip-II sağdan
sansürlü örnekleme dayalı jackknife tahmin edicileri elde edilmiştir. Jackknife ve jackknife
uygulanmamış tahmin edicilerin beklenen değer ve varyansları türetilmiş ve
karşılaştırılmıştır. Tahmin edicilerin kullanımı için nümerik bir örnek verilmiştir.

References

  • Aggarwala R., Balakrishnan N. (1998), “Some Properties of Progressive Type-II Censored Order Statistics From Arbitrary and Uniform Distributions with Applications to Inference and Simulation”, Journal of Statistical Planning and Inference, 70, 35-49.
  • Allan, R. R. (1966), “Extension of the Binomial Model of Traffic Flow to the Continuous Case”, Proceedings of the Third Conference of the Australian Road Research Board, 3, 276-316.
  • Balakrishnan, N., Sandhu, R. A. (1995), “A simple simulation algorithm for generating progressively Type-II censored sample”, American Statistician, 49 (2), 229-230.
  • Balakrishnan, N., Aggarwala, R. (2000), Progressive Censoring:Theory, Methods and Applications, Birkhauser, Boston.
  • Balakrishnan, N., Childs , A., Chandrasekar, B. (2002), “An Efficient Computational Method For Moments of order Statistics Under Progressive Censoring”, Statistics&Probability Letters, 60, 359-365.
  • Casella, G., Berger, R.L. (1990), Statistical Inference, Wadsworth, Inc., Belmont, California.
  • David, H. (1970), Order Statistics, John Wiley, New York.
  • Durbin, J. (1961), “Some Methods of Constructing Exact Test”, Biometrika, 48, 41-55.
  • Fisher, R. A. (1932), Statistical Methods for Research Workers, London: Oliver&Boyd.
  • Fox, T., Hinkley D., Larntz K. (1980), “Jackknifing in Nonlinear Regression”, Technometrics, 22, 22-33.
  • Genç, A. (1999), “A Simulation Study of the Bias of Parameter Estimators in Multivariate Nonlinear Models”, Hacettepe Bulletin of Natural Sciences and Engineering, Series B, 28, 105-114.
  • Gupta, S. S., Sobel, M. (1958), “On the Distribution of a Statistics based on Oredered Uniform Chance Variables”, Annals of Mathematical Statistics, 29, 274-281.
  • Johnson, N.L., Kotz, S. (1970), Continuous Univariate Distributions-2, John Wiley, New York.
  • Miller, R. G. (1974), “The Jackknife-A Review”, Biometrika, 61, 1-15.
  • Pearson, E. S. (1938), “Tests based on the Probabililty Integral Transformation”, Biometrika, 30, 134-148.
  • Quenouille, M. H. (1956), “Notes on Bias in Estimation”, Biometrika, 43, 353-360.
  • Sheppard, W. F. (1907), “Calculation of Moments of a Frequency Distribution”, Biometrika, 5, 450-459.
  • Stephens, M. A. (1966), “Statistics Connected with the Uniform Distribution: Percentage Points and Application to Testing for Rrandomness of Directions”, Biometrika, 53, 235-238.
Year 2005, Issue: 2, 1 - 15, 26.08.2011

Abstract

References

  • Aggarwala R., Balakrishnan N. (1998), “Some Properties of Progressive Type-II Censored Order Statistics From Arbitrary and Uniform Distributions with Applications to Inference and Simulation”, Journal of Statistical Planning and Inference, 70, 35-49.
  • Allan, R. R. (1966), “Extension of the Binomial Model of Traffic Flow to the Continuous Case”, Proceedings of the Third Conference of the Australian Road Research Board, 3, 276-316.
  • Balakrishnan, N., Sandhu, R. A. (1995), “A simple simulation algorithm for generating progressively Type-II censored sample”, American Statistician, 49 (2), 229-230.
  • Balakrishnan, N., Aggarwala, R. (2000), Progressive Censoring:Theory, Methods and Applications, Birkhauser, Boston.
  • Balakrishnan, N., Childs , A., Chandrasekar, B. (2002), “An Efficient Computational Method For Moments of order Statistics Under Progressive Censoring”, Statistics&Probability Letters, 60, 359-365.
  • Casella, G., Berger, R.L. (1990), Statistical Inference, Wadsworth, Inc., Belmont, California.
  • David, H. (1970), Order Statistics, John Wiley, New York.
  • Durbin, J. (1961), “Some Methods of Constructing Exact Test”, Biometrika, 48, 41-55.
  • Fisher, R. A. (1932), Statistical Methods for Research Workers, London: Oliver&Boyd.
  • Fox, T., Hinkley D., Larntz K. (1980), “Jackknifing in Nonlinear Regression”, Technometrics, 22, 22-33.
  • Genç, A. (1999), “A Simulation Study of the Bias of Parameter Estimators in Multivariate Nonlinear Models”, Hacettepe Bulletin of Natural Sciences and Engineering, Series B, 28, 105-114.
  • Gupta, S. S., Sobel, M. (1958), “On the Distribution of a Statistics based on Oredered Uniform Chance Variables”, Annals of Mathematical Statistics, 29, 274-281.
  • Johnson, N.L., Kotz, S. (1970), Continuous Univariate Distributions-2, John Wiley, New York.
  • Miller, R. G. (1974), “The Jackknife-A Review”, Biometrika, 61, 1-15.
  • Pearson, E. S. (1938), “Tests based on the Probabililty Integral Transformation”, Biometrika, 30, 134-148.
  • Quenouille, M. H. (1956), “Notes on Bias in Estimation”, Biometrika, 43, 353-360.
  • Sheppard, W. F. (1907), “Calculation of Moments of a Frequency Distribution”, Biometrika, 5, 450-459.
  • Stephens, M. A. (1966), “Statistics Connected with the Uniform Distribution: Percentage Points and Application to Testing for Rrandomness of Directions”, Biometrika, 53, 235-238.
There are 18 citations in total.

Details

Primary Language Turkish
Journal Section Makaleler
Authors

Dr. Coşkun Kuş This is me

Publication Date August 26, 2011
Published in Issue Year 2005 Issue: 2

Cite

APA Kuş, D. C. (2011). İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ. Istanbul University Econometrics and Statistics E-Journal(2), 1-15.
AMA Kuş DC. İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ. Istanbul University Econometrics and Statistics e-Journal. August 2011;(2):1-15.
Chicago Kuş, Dr. Coşkun. “İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ”. Istanbul University Econometrics and Statistics E-Journal, no. 2 (August 2011): 1-15.
EndNote Kuş DC (August 1, 2011) İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ. Istanbul University Econometrics and Statistics e-Journal 2 1–15.
IEEE D. C. Kuş, “İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ”, Istanbul University Econometrics and Statistics e-Journal, no. 2, pp. 1–15, August 2011.
ISNAD Kuş, Dr. Coşkun. “İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ”. Istanbul University Econometrics and Statistics e-Journal 2 (August 2011), 1-15.
JAMA Kuş DC. İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ. Istanbul University Econometrics and Statistics e-Journal. 2011;:1–15.
MLA Kuş, Dr. Coşkun. “İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ”. Istanbul University Econometrics and Statistics E-Journal, no. 2, 2011, pp. 1-15.
Vancouver Kuş DC. İLERLEYEN TÜR TİP-II SAĞDAN SANSÜRLÜ ÖRNEKLEME DAYALI DÜZGÜN DAĞILIMIN PARAMETRELERİNİN JACKKNİFE TAHMİN EDİCİSİ. Istanbul University Econometrics and Statistics e-Journal. 2011(2):1-15.