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Necessary and sufficient conditions for superiority of the restricted ridge estimator over the restricted least squares estimator are derived when the set of a prior restrictions on parameters are assumed to be incorrect (as well as when the restrictions are assumed to hold). Condition number and trace of mean square error criteria are used to gauge the goodness of some new and some known ridge parameters...
Experiments involving repeated observations of multivariate outcomes are common in biomedical and public health researches which lead to multivariate longitudinal data. These kinds of data have a unique property in the sense that they allow the researcher to study the joint evolution of the multiple outcomes over the time. Recently, there has been a considerable amount of interest on using Bayesian...
In this paper, we introduce a new class of distributions generated by an integral transform of the probability density function of the Lindley distribution which results in a model that is more flexible in the sense that the derived model spans distributions with increasing failure rate, decreasing failure rate and upside down bathtub shaped hazard rate functions for different choices of parametric...
In this paper, the authors investigate a robust semi-parametric mixed effects model for analyzing longitudinal data with an unspecified mean response function. The robust method, developed in the framework of the maximum likelihood, is used to bound the influence of potential outliers when estimating the model parameters. The authors also present a robust test procedure for assessing the significance...
Marshall and Olkin (Biometrika 641–652, 1997) introduced a new way of incorporating a parameter to expand a family of distributions. In this paper we adopt the Marshall-Olkin approach to introduce an extra shape parameter to the two-parameter generalized exponential distribution. It is observed that the new three-parameter distribution is very flexible. The probability density functions can be either...
A new class of lifetime distributions is introduced by compounding the modified Weibull and geometric distributions, the so-called modified Weibull geometric distribution. It includes as special submodels such as linear failure rate geometric distribution, Weibull geometric distribution, exponential geometric distribution, among others. We study its structural properties including probability density...
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