Asymptotic efficiency of estimation in the partial Koziol–Green model |
2004 |
1616 |
In this paper, the convolution theorem and the minimax theorem for estimating the survival function in the partial Koziol–Green model (PKG) are presented. The result indicates that the partial Abdushukurov–Cheng–Lin (ACL) estimator in the PKG model i... |
Efficiency of the maximum partial likelihood estimator for nested case control sampling |
2009 |
1599 |
In making inference on the relation between failure and exposure histories in the Cox semiparametric model, the maximum partial likelihood estimator (MPLE) of the finite dimensional odds parameter, and the Breslow estimator of the baseline survival f... |
Information and asymptotic efficiency of the case-cohort sampling design in Cox’s regression model |
2003 |
2056 |
Efficiencies of the maximum pseudolikelihood estimator and a number of related estimators for the case-cohort sampling design in the proportional hazards regression model are studied. The asymptotic information and lower bound for estimating the para... |
Maximum Likelihood Estimation in Linear Models with Equi-Correlated Random Errors |
2006 |
1994 |
Necessary and sufficient conditions for the existence of maximum likelihood estimators of unknown parameters in linear models with equi-correlated random errors are presented. The basic technique we use is that these models are, first, orthogonally t... |
A note on the generalized maximum likelihood estimator in partial Koziol–Green model |
2006 |
1881 |
The proportional hazards model with partially informative censoring has been studied by Gather and Pawlitschko [1998. Metrika 48, 189–207] and their partial Abdushukurov–Cheng–Lin (PACL) estimator is a nonparametric estimator of the underlying surviv... |
A note on processes with random stationary increments |
2014 |
3943 |
When the correlation theory is considered for the processes with random stationary increments, Yaglom (1955) has developed the spectral representation theory. In this note, we complete this development by obtaining the inversion formula of the spectr... |
A null model of community disassembly effects on vector-borne disease risk |
2010 |
1802 |
Community structure is heterogeneous at a variety of spatial and temporal scales, and this variation has been shown to influence the risk of zoonotic diseases such as West Nile Virus and Lyme disease. Theoretical models and most empirical evidence su... |
On the generalized maximum likelihood estimator of survival function under Koziol–Green model |
2006 |
2384 |
In this paper, we derive the generalized maximum likelihood estimator (GMLE) of the survival function of a random variable for censored data under the Koziol–Green model. Its small sample properties are compared with those of Abdushukurov–Cheng–Lin (... |
On Nelson–Aalen type estimation in the partial Koziol–Green model |
2010 |
1750 |
In this paper, a Nelson–Aalen (NA) type estimator is derived and its sample properties are compared with the partial Abdushukurov–Cheng–Lin (PACL), generalized maximum likelihood (GMLE), and Kaplan–Meier (KM) estimators under the partial Koziol–Green... |
On the Validity of Commonly Used Covariance and Variogram Functions on the Sphere |
2011 |
3375 |
Covariance and variogram functions have been extensively studied in Euclidean space. In this article, we investigate the validity of commonly used covariance and variogram functions on the sphere. In particular, we show that the spherical and exponen... |
On weak consistency in linear models with equi-correlated random errors |
2003 |
1778 |
A new estimator in linear models with equi-correlated random errors is postulated. Consistency properties of the proposed estimator and the ordinary least squares estimator are studied. It is shown that the new estimator has smaller variance than the... |
A simplified representation of the covariance structure of axially symmetric processes on the sphere |
2012 |
1093 |
Spatial processes having covariance functions that depend solely on the distance between locations are known as homogeneous. Many random processes on the sphere are not homogeneous, especially in the latitudinal dimension. As a result, we study a cla... |