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GAMMA Renewal Function in Censored Data

Year 2015, Volume: 5 Issue: 2, - , 28.12.2015

Abstract

In this study, the renewal process whose times between the intervals are gamma-diffused has been examined. In the situation where the sampling is Randomly Right Censored, a Parametric Estimator is recommended, which depends on the Maximum Likelihood Estimators of the unknown parameters of the gamma diffusion; and the statistical characteristics of these estimators have been investigated.

References

  • Aydoğdu H., 1997. Yenileme Süreçlerinde Tahmin. Doktora Tezi. Ankara Üniversitesi, 153, Ankara.
  • Baxter L.A., Scheuer E.M., McConalogue D.J., Blinschke, W.R., 1982. On the Tabulation of the Renewal Function. Technometrics, 24(1):151-158.
  • Danış Ç., 2008. Sansürlü Verilerde Yenileme Fonksiyonunun Tahmini. Yüksek Lisans Tezi Ankara Üniversitesi, 83, Ankara.
  • Karlin S., Taylor H. M., 1975. A First Course in Stochastic Processes. Second edition. Acedemic Press, 557, New York.
  • Lawless J. F., 2003. Statistical Models and Methods for Lifetime Data. John Wiley & Sons, 630, Canada.
  • Ross M. S., 1983. Stochastic Processes. John Wiley & Sons, 510, New York.
  • Xie M., 1989. On the Solution of Renewal-Type Integral Equation. Commun. Statist. Simula. vol. 18 (1):281-293.
Year 2015, Volume: 5 Issue: 2, - , 28.12.2015

Abstract

References

  • Aydoğdu H., 1997. Yenileme Süreçlerinde Tahmin. Doktora Tezi. Ankara Üniversitesi, 153, Ankara.
  • Baxter L.A., Scheuer E.M., McConalogue D.J., Blinschke, W.R., 1982. On the Tabulation of the Renewal Function. Technometrics, 24(1):151-158.
  • Danış Ç., 2008. Sansürlü Verilerde Yenileme Fonksiyonunun Tahmini. Yüksek Lisans Tezi Ankara Üniversitesi, 83, Ankara.
  • Karlin S., Taylor H. M., 1975. A First Course in Stochastic Processes. Second edition. Acedemic Press, 557, New York.
  • Lawless J. F., 2003. Statistical Models and Methods for Lifetime Data. John Wiley & Sons, 630, Canada.
  • Ross M. S., 1983. Stochastic Processes. John Wiley & Sons, 510, New York.
  • Xie M., 1989. On the Solution of Renewal-Type Integral Equation. Commun. Statist. Simula. vol. 18 (1):281-293.
There are 7 citations in total.

Details

Journal Section Articles
Authors

Çiğdem Cengiz

Halil Aydoğdu

Publication Date December 28, 2015
Submission Date December 23, 2015
Published in Issue Year 2015 Volume: 5 Issue: 2

Cite

IEEE Ç. Cengiz and H. Aydoğdu, “GAMMA Renewal Function in Censored Data”, Bitlis Eren University Journal of Science and Technology, vol. 5, no. 2, 2015, doi: 10.17678/beujst.09962.