In this thesis, we perform a survival analysis for right-censored data of populations with a cure rate. We consider two cure rate models based on the Geometric distribution and Poisson distribution, which are the special cases of the Conway-Maxwell distribution. The models are based on the assumption that the number of competing causes of the event of interest follows Conway-Maxwell distributio...

H. Akbar-Zadeh has recently proposed (J Geom Phys 17 (1995) 342) a new geometric formulation of Einstein–Maxwell system with source in terms of what are called “Generalized Einstein manifolds”. We show that, contrary to the claim, Maxwell equations have not been derived in this formulation and that, the assumed equations can be identified only as sourcefree Maxwell equations in the proposed geo...

Abstract Al-Osh and Alzaid (1988) consider a Poisson moving average (PMA) model to describe the relation among integer-valued time series data; this model, however, is constrained by underlying equi-dispersion assumption for count data (i.e., that variance mean equal). This work instead introduces flexible contain over- or under-dispersion via Conway-Maxwell-Poisson (CMP) distribution related d...

A basic model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. In this paper we consider the “one-fluid” Euler–Maxwell model for electrons, in 2 spatial dimensions, and prove global stability of a constant neutral background. In 2 dimensions our global solutions have ...

We find new classes of exact solutions to the Einstein-Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the gravitational potentials. The condition of pressure isotropy is reduced to a linear, second order differential equation which can be solved in general. Consequently we can find exact solutions to the Einstein-Maxwell fiel...

We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by an infinite average energy per particle. Moreover, we verify the quasi-stationarity of these states by performing numerical simulations with a finite number of particles, thereby highlighting trunc...

Introduction. One of the major unsolved puzzles about the surface of Venus is the composition and formation process of the radar-bright, low emissivity material that covers much of the high altitude terrain. Maxwell Montes, centered at a latitude of 65◦ N, is the tallest structure on Venus with elevations 12 km above the mean planetary radius (MPR) [1]. In the case of Maxwell Montes, the emissi...

We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra n+ of affine Lie algebra ŝl2 on a Maxwell-Bloch phase space treated as a homogeneous space of n+. A space of local integrals of motion is described using cohomology methods. We show t...

Human Knowledge: Its Scope and Limits was first published in 1948. The view on inductive inference that Russell develops there has received relatively little careful study and, I believe, has been largely misunderstood. Grover Maxwell was one of the few philosophers who understood and carried forward the program of Russell's later work. Maxwell considered Human Knowledge to be one of Russell's ...