Extensions of the classical B-spline curves by shape parameters are discussed in this paper. Using a method of linear blending, first we extend the abilities of GB-splines, originally defined by uniform shape parameter, to multiple shape parameters. Then two methods, having different types of continuity, are examined in terms of their curvature behavior.

The prolate-oblate shape phase transition in the the interacting boson model is revisited by adopting the transitional Hamiltonian with a linear dependence on the control parameter. The analysis of the shape phase transition in both the large-N limit and finite N case shows that the O(6) symmetry is robust as the critical point symmetry of the prolate-oblate shape phase transition.

In this paper we consider the Bayesian analysis of competing risks data, when the data are partially complete both in time and type of failures. It is assumed that the latent cause of failures have independent Weibull distributions with the common shape parameter but different scale parameters. When the shape parameter is known, it is assumed that the scale parameters have Beta-Gamma priors. In...