In this paper, maximum likelihood estimation have been obtained for two Weibull populations under joint type II censored scheme, which generalize results of Balakrishnan and Rasouli (2008). Moreover, approximate confidence region are also discussed and compared with two Bootstrap confidence regions. A numerical illustration for these new results is given.

This paper draws out some implications of son targeting fertility behaviour for gender inequality. It is demonstrated that such behaviour has two notable implications at the aggregate level: (a)larger number of siblings for girls (Sibling Effect), and (b)a higher within-family birth order for boys (Birth Order Effect). While the first tends to worsen gender inequality through monetary factors, ...

Models of dynamic networks - networks that evolve over time - have manifold applications. We develop a discrete-time generative model for social network evolution that inherits the richness and flexibility of the class of exponential-family random graph models. The model - a Separable Temporal ERGM (STERGM) - facilitates separable modeling of the tie duration distributions and the structural dy...

[This corrects the article DOI: 10.1371/journal.pone.0183393.].

We study nonparametric maximum likelihood estimation for the distribution of spherical radii using samples containing a mixture of one-dimensional, two-dimensional biased and three-dimensional unbiased observations. Since direct maximization of the likelihood function is intractable, we propose an expectation-maximization algorithm for implementing the estimator, which handles an indirect measu...

This paper provides a theoretical analysis of the properties of Wavelet based maximum likelihood estimation of the parameters describing 1=f processes embedded in white noise. This analysis shows that such a scheme is only consistent for spectral exponents in the range 2 (0; 1). This is in contradiction to the results suggested in previous empirical studies. When 2 (0; 1) this paper also establ...

The method of maximum likelihood (ML), introduced by Fisher (1921), is widely used in human and quantitative genetics and we draw upon this approach throughout the book, especially in Chapters 13–16 (mixture distributions) and 26–27 (variance component estimation). Weir (1996) gives a useful introduction with genetic applications, while Kendall and Stuart (1979) and Edwards (1992) provide more ...