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## Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease

#### Nursel KOYUNCU [1] , Nihal ATA TUTKUN [2]

The proportional hazards model is one of the most common model for analyzing survival data. Only proportional hazards assumption is required to apply this model. Using appropriate sampling methods is an important part of modelling data and estimation of parameters. In literature there is a few studies based on sampling methods in survival analysis and most of them are related with non-parametric estimations of survival functions, sample size calculation etc.  The main innovation of our approach is to examine the sampling methods for the proportional hazards model. This paper describes usage of ranked set sampling design in the proportional hazards model. In order to analyze the performance of our methods, we use a real data and conduct a simulation study. We conclued that ranked set sampling is more efficient than simple random sampling.
Cox regression, likelihood function, censored data, ranked set sampling
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Primary Language en Statistics and Probability Statistics Orcid: 0000-0003-1065-3411Author: Nursel KOYUNCU (Primary Author)Institution: HACETTEPE UNIVERSITYCountry: Turkey Orcid: 0000-0001-5204-680XAuthor: Nihal ATA TUTKUN Institution: HACETTEPE UNIVERSITYCountry: Turkey Publication Date : February 6, 2020
 Bibtex @research article { hujms617303, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {458 - 477}, doi = {10.15672/hujms.617303}, title = {Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease}, key = {cite}, author = {KOYUNCU, Nursel and ATA TUTKUN, Nihal} } APA KOYUNCU, N , ATA TUTKUN, N . (2020). Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 458-477 . DOI: 10.15672/hujms.617303 MLA KOYUNCU, N , ATA TUTKUN, N . "Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 458-477 Chicago KOYUNCU, N , ATA TUTKUN, N . "Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 458-477 RIS TY - JOUR T1 - Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease AU - Nursel KOYUNCU , Nihal ATA TUTKUN Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.617303 DO - 10.15672/hujms.617303 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 458 EP - 477 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.617303 UR - https://doi.org/10.15672/hujms.617303 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease %A Nursel KOYUNCU , Nihal ATA TUTKUN %T Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/hujms.617303 %U 10.15672/hujms.617303 ISNAD KOYUNCU, Nursel , ATA TUTKUN, Nihal . "Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 458-477 . https://doi.org/10.15672/hujms.617303 AMA KOYUNCU N , ATA TUTKUN N . Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 458-477. Vancouver KOYUNCU N , ATA TUTKUN N . Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 477-458.

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