Constructing a fast and efficient estimator for the B-mode power spectrum of cosmic microwave background (CMB) is critical importance CMB science. For general survey, Quadratic Maximum Likelihood (QML) polarization has been proved to be optimal with minimal uncertainties, but it computationally very expensive. In this article, we propose two new QML methods estimation. We use Smith–Zaldarriaga ...

We review estimation in interval censoring models, including nonparametric estimation of a distribution function and estimation of regression models. In the non-parametric setting, we describe computational procedures and asymptotic properties of the nonparametric maximum likelihood estimators. In the regression setting, we focus on the proportional hazards, the proportional odds and the accele...

We review estimation in interval censoring models including nonparametric esti mation of a distribution function and estimation of regression models In the non parametric setting we describe computational procedures and asymptotic properties of the nonparametric maximum likelihood estimators In the regression setting we focus on the proportional hazards the proportional odds and the accelerated...

A resource-efficient approach to making inferences about the distributional properties of the failure times in a competing risks setting is presented. Efficiency is gained by observing recurrences of the compet- ing risks over a random monitoring period. The resulting model is called the recurrent competing risks model (RCRM) and is coupled with two repair strategies whenever the system fails. ...

The maximum product of spacings (MPS) is employed in the estimation of the Generalized Extreme Value Distribution (GEV) and the Generalized Pareto Distribution (GPD). Efficient estimators are obtained by the MPS for all γ. This outperforms the maximum likelihood method which is only valid for γ < 1. It is then shown that the MPS gives estimators closer to the true parameters compared to the max...