Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 47 Sayı: 2, 437 - 446, 01.04.2018

Öz

Kaynakça

  • Akaike, H. (1974). A new look at the statistical model identication. IEEE Transactions of Automatic Control, 19(6), 716-723.
  • Berkson, J., Gage, R. (1952). Survival curve for cancer patients following treatment. Journal of the American Statistical Association, 47, 501-515.
  • Boag, J.W. (1949). Maximum likelihood estimates of the proportion of patients cured by cancer therapy. Journal of the Royal Statistical Society B, 11,15-53.
  • Cancho, V.G., Louzada, F., Barriga, G.D.C. (2011) The Geometric Birnbaum-Saunders regression model with cure rate. Journal of Statistical Planning an Inference, 142, 993-1000.
  • Cooray, K. and Ananda, M.M.A. (2008). A Generalization of the Half-Normal Distribution with Applications to Lifetime Data. Communications in Statistics - Theory and Methods, 37, 1323-1337.
  • Durrans, S.R. (1992). Distributions of fractional order statistics in hydrology. Water Resources Research, 28, 16491655.
  • Gómez, Y.M., Bolfarine, H. (2015). Likelihood-based inference for power half-normal distri- bution. Journal of Statistical Theory and Applications, 14, 383398.
  • Gupta, D. and Gupta, R.C. (2008). Analyzing skewed data by power normal model. Test, 17, 197210.
  • Lehmann, E.L. (1953). The power of rank tests. Annals of Mathematical Statistics, 24, 2343.
  • Maller, R.A., Zhou, X., (1996). Survival Analysis with Long-Term Survivors. Wiley, New York.
  • Marshall A.W. and Olkin I. (2007). Life distributions: Structure of nonparametric, semi- parametric, and parametric families. Springer Science+Business Media, LLC, New York.
  • Perdona, G.S.C., Louzada-Neto, F. (2011). A general hazard model for lifetime data in the presence of cure rate. Journal of Applied Statistics 38, 1395-1405.
  • Pescim, R.R., Demétrio, C.G.B., Cordeiro, G.M., Ortega, E.M.M and Urbano, M.R. (2010). The beta generalized half-normal distribution. Computational Statistics and Data Analysis, 54, 945-957.
  • Pewsey, A., Gómez, H.W. and Bolfarine, H. (2012). Likelihood-based inference for power distributions. Test, 21(4), 775-789.
  • R Development Core Team R. (2016). A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
  • Rodrigues, J., Cancho, V.G., De Castro, M., Louzada-Neto, F. (2009). On the unication of the long-term survival models. Statistics and probability Letters, 79, 753-759.
  • Schwarz, G. (1978). Estimating the Dimension of a Model. Annals of Statistics, 6, 461-464.

The geometric power half-normal regression model with cure rate

Yıl 2018, Cilt: 47 Sayı: 2, 437 - 446, 01.04.2018

Öz

In this paper we consider the geometric cure rate model defined in [16], using for $S_0(\cdot)$, the survival function of carcinogenic cells, an extension of the half-normal distribution based on the distribution of the maximum of a random sample. The implementation of maximum likelihood estimation for the model parameters is discussed and, nally, the model is fitted to a real database (Melanoma data set), and comparisons are performed with alternatives to the new $S_0(\cdot)$.

Kaynakça

  • Akaike, H. (1974). A new look at the statistical model identication. IEEE Transactions of Automatic Control, 19(6), 716-723.
  • Berkson, J., Gage, R. (1952). Survival curve for cancer patients following treatment. Journal of the American Statistical Association, 47, 501-515.
  • Boag, J.W. (1949). Maximum likelihood estimates of the proportion of patients cured by cancer therapy. Journal of the Royal Statistical Society B, 11,15-53.
  • Cancho, V.G., Louzada, F., Barriga, G.D.C. (2011) The Geometric Birnbaum-Saunders regression model with cure rate. Journal of Statistical Planning an Inference, 142, 993-1000.
  • Cooray, K. and Ananda, M.M.A. (2008). A Generalization of the Half-Normal Distribution with Applications to Lifetime Data. Communications in Statistics - Theory and Methods, 37, 1323-1337.
  • Durrans, S.R. (1992). Distributions of fractional order statistics in hydrology. Water Resources Research, 28, 16491655.
  • Gómez, Y.M., Bolfarine, H. (2015). Likelihood-based inference for power half-normal distri- bution. Journal of Statistical Theory and Applications, 14, 383398.
  • Gupta, D. and Gupta, R.C. (2008). Analyzing skewed data by power normal model. Test, 17, 197210.
  • Lehmann, E.L. (1953). The power of rank tests. Annals of Mathematical Statistics, 24, 2343.
  • Maller, R.A., Zhou, X., (1996). Survival Analysis with Long-Term Survivors. Wiley, New York.
  • Marshall A.W. and Olkin I. (2007). Life distributions: Structure of nonparametric, semi- parametric, and parametric families. Springer Science+Business Media, LLC, New York.
  • Perdona, G.S.C., Louzada-Neto, F. (2011). A general hazard model for lifetime data in the presence of cure rate. Journal of Applied Statistics 38, 1395-1405.
  • Pescim, R.R., Demétrio, C.G.B., Cordeiro, G.M., Ortega, E.M.M and Urbano, M.R. (2010). The beta generalized half-normal distribution. Computational Statistics and Data Analysis, 54, 945-957.
  • Pewsey, A., Gómez, H.W. and Bolfarine, H. (2012). Likelihood-based inference for power distributions. Test, 21(4), 775-789.
  • R Development Core Team R. (2016). A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
  • Rodrigues, J., Cancho, V.G., De Castro, M., Louzada-Neto, F. (2009). On the unication of the long-term survival models. Statistics and probability Letters, 79, 753-759.
  • Schwarz, G. (1978). Estimating the Dimension of a Model. Annals of Statistics, 6, 461-464.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

Yolanda M. Gómez Bu kişi benim

Heleno Bolfarine Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 2

Kaynak Göster

APA Gómez, Y. M., & Bolfarine, H. (2018). The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics, 47(2), 437-446.
AMA Gómez YM, Bolfarine H. The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics. Nisan 2018;47(2):437-446.
Chicago Gómez, Yolanda M., ve Heleno Bolfarine. “The Geometric Power Half-Normal Regression Model With Cure Rate”. Hacettepe Journal of Mathematics and Statistics 47, sy. 2 (Nisan 2018): 437-46.
EndNote Gómez YM, Bolfarine H (01 Nisan 2018) The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics 47 2 437–446.
IEEE Y. M. Gómez ve H. Bolfarine, “The geometric power half-normal regression model with cure rate”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 2, ss. 437–446, 2018.
ISNAD Gómez, Yolanda M. - Bolfarine, Heleno. “The Geometric Power Half-Normal Regression Model With Cure Rate”. Hacettepe Journal of Mathematics and Statistics 47/2 (Nisan 2018), 437-446.
JAMA Gómez YM, Bolfarine H. The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics. 2018;47:437–446.
MLA Gómez, Yolanda M. ve Heleno Bolfarine. “The Geometric Power Half-Normal Regression Model With Cure Rate”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 2, 2018, ss. 437-46.
Vancouver Gómez YM, Bolfarine H. The geometric power half-normal regression model with cure rate. Hacettepe Journal of Mathematics and Statistics. 2018;47(2):437-46.