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Shabani, Amir Hossin, Jabbari Nooghabi, Hadi, Fakoor, Vahid. (1398). Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association. , 30(2), 177-185. doi: 10.22059/jsciences.2019.262991.1007303
Amir Hossin Shabani; Hadi Jabbari Nooghabi; Vahid Fakoor. "Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association". , 30, 2, 1398, 177-185. doi: 10.22059/jsciences.2019.262991.1007303
Shabani, Amir Hossin, Jabbari Nooghabi, Hadi, Fakoor, Vahid. (1398). 'Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association', , 30(2), pp. 177-185. doi: 10.22059/jsciences.2019.262991.1007303
Shabani, Amir Hossin, Jabbari Nooghabi, Hadi, Fakoor, Vahid. Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association. , 1398; 30(2): 177-185. doi: 10.22059/jsciences.2019.262991.1007303

Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association

Journal of Sciences, Islamic Republic of Iran
مقاله 8، دوره 30، شماره 2، تیر 2019، صفحه 177-185    اصل مقاله (354.9 K)
نوع مقاله: Revised File ( First edition)
شناسه دیجیتال (DOI): 10.22059/jsciences.2019.262991.1007303
نویسندگان
Amir Hossin Shabani1؛ Hadi Jabbari Nooghabi* 2؛ Vahid Fakoor3
1Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad
2Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad
3Department of Statistics Ferdowsi University of Mashhad
چکیده
Non-parametric estimation of a survival function from left truncated data subject to right censoring has been extensively studied in the literature. It is commonly assumed in such studies that the lifetime variables are a sample of independent and identically distributed random variables from the target population. This assumption is often prone to failure in practical studies. For instance, when recruited subjects are all from the same institute or the same geographical region. To the best of our knowledge, there is no study in the past literature addressing such situations. In this article, we study large and small sample behavior of Tsai-Jewell-Wang estimator under positive and negative association.
کلیدواژه‌ها
Negative and positive association؛ Random left truncation and right censor؛ Strong consistency؛ Nelson-Allen estimator؛ Product-limit estimator
آمار
تعداد مشاهده مقاله: 276
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