We consider estimation in a particular semiparametric regression model for the mean of a counting process under the assumption of “panel count” data. The basic model assumption is that the conditional mean function of the counting process is of the form E{N(t)|Z} = exp(θ′Z)Λ(t) where Z is a vector of covariates and Λ is the baseline mean function. The “panel count” observation scheme involves o...

The stable matching (or stable marriage) model of Gale and Shapley (1962) has been generalized in various directions such as matroid kernels due to Fleiner (2001) and stable allocations in bipartite networks due to Bäıou and Balinski (2002). Unifying these generalizations, we introduce the concept of stable allocations in polymatroid intersection. Our framework includes both integerand real-var...

In this paper the characteristics of unsteady three-dimensional incompressible flows with heat transfer are obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows are derived from five governing equations (continuity equation, Momentum equations in three directions, and energy equation) and then results ...

In this note, we consider a single machine scheduling problem with generalized total tardiness objective function. A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number of tardy jobs on a single machine. The l...

This paper considers two problems: the initial boundary value problem of nonlinear Caputo time-fractional pseudo-parabolic equations with fractional Laplacian, and Cauchy (initial problem) equations. For first source term satisfying globally Lipschitz condition, we establish local well-posedness theory including existence, uniqueness regularity solution, further existence related to finite time...

BACKGROUND Endometriosis is a chronic disease that responds to systemic pseudo-pregnancy therapy. However, side effects limit their long-term use, and recurrence often occurs after cessation of medication. Reducing side effects whereas improving therapeutic efficacy of pseudo-pregnancy therapy seems contradictory, but appealing. In order to address this dilemma, the efficacy and side effects of...