A Large Sample Study of the Life Table and Product Limit Estimates under Random Censorship'
ثبت نشده
چکیده
Using the model of random censorship, a necessary and sufficient condition for the consistency of the standard (actuarial) life table estimate of a survival distribution is derived. We establish the asymptotic normality of this estimate, showing that Greenwood's variance formula is nearly correct. In the case of a continuous survival distribution we establish limiting normality for the product limit estimate and for the closely related cumulative hazard process. Some applications of these results are outlined.
منابع مشابه
Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association
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, wh...
متن کاملLinear Wavelet-Based Estimation for Derivative of a Density under Random Censorship
In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same con...
متن کاملBlood Volume in Acute Pulmonary
5. Sandler H, Dodge HT, Hay RE, et al: Quantitation of valvular insufficiency in man by angiocardiography. Am Heart J 65: 501, 1963 6. Gorlin R, Gorlin SG: Hydraulic formulae for calculation of the area of the stenotic mitral valve, other cardiac valves, and central circulatory shunts. I. Am Heart J 41: 1, 1951 7. Berkson J, Gage RP: Calculation of survival rates for cancer. Proc Staff Meetings...
متن کاملOn Bayesian estimation in an exponential distribution under random censorship
The paper gives some basic ideas of both the construction and investigation of the properties of the Bayesian estimates of certain parametric functions of the parent exponential distribution under the model of random censorship assuming the Koziol–Green model. Various prior distributions are investigated and the corresponding estimates are derived. The stress is put on the asymptotic properties...
متن کاملClassical and Bayesian Inference in Two Parameter Exponential Distribution with Randomly Censored Data
Abstract. This paper deals with the classical and Bayesian estimation for two parameter exponential distribution having scale and location parameters with randomly censored data. The censoring time is also assumed to follow a two parameter exponential distribution with different scale but same location parameter. The main stress is on the location parameter in this paper. This parameter has not...
متن کامل