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We propose a flexible cure rate survival model by assuming that the number of competing causes of the event of interest has a negative binomial distribution and the time to event has a Weibull distribution for interval-censored data. An advantage is that this model includes as special cases some well-known cure rate models discussed in the literature. We also propose the negative binomial Weibull...
In the current competitive marketplace, manufacturers need to classify products in a short period of time, according to market demand. Hence, it is a challenge for manufacturers to implement a classification test that can distinguish the different grades of a product quickly and efficiently. For highly reliable products, if quality characteristics exist whose degradation over time can be related to...
In small area estimation, linear mixed models are frequently used. Variable selection methods for linear mixed models are available. However, in many applications such as small area estimation data users often apply variable selection methods that ignore the random effects. In this paper, we first evaluate the accuracy of such variable selection method for the Fay-Herriot model, a regression model...
Hybrid processes, which are multivariate time series with some components continuous valued time series and the rest discrete valued time series or point processes, often arise in studies of neurological systems. Assessment of the dependence structure among the components of hybrid processes are usually done by various linear methods which often prove inadequate. Mutual information (MI) is a useful...
Generalized exponential distribution has received some attention in the last few years. Recently, Kundu and Gupta (Advances in Statistical Analysis, 95, 169–185, 2011) and Shoaee and Khorram (Journal of Statistical Planning and Inference, 142, 2203–2220, 2012) introduced an absolute continuous bivariate generalized exponential distribution. In this paper, we propose an absolute coinuous multivariate...
Some nonparametric tests of symmetry based on the sample entropy of order statistics are presented. Our tests have this advantage that we do not need to estimate the center of the symmetry. Monte Carlo studies show that, for a wide variety of alternative asymmetric distributions, the proposed tests are much more powerful than previously proposed tests. A real example is used to illustrate the proposed...
The ‘vast majority of incomes ratio (VMIR)’ R0 is the ratio of the average income µ0 of a poorest majority p0 of the population to the overall average income µ. Another measure of equality is E0=(1-G) , where G is the Gini coefficient of inequality of the distribution. Shaikh and Ragab (2007, 2008), employing a wide variety of data sets, have shown (among...
Likelihood-based finite sample inference for singly imputed synthetic data generated via posterior predictive sampling is developed in this paper for multivariate normal and multiple linear regression models. Currently available methodology for drawing valid inference on population parameters using synthetic data is based on concepts of multiple imputation for missing data, and therefore requires...
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