GAMMA Renewal Function in Censored Data

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

Çiğdem Cengiz , Halil Aydoğdu

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.