Although significant private investment is absorbed in different sectors of power systems, transmission sector is still suffering from appropriate private investment. This is because of the pricing policies of transmission services, tariffs, and especially for investment risks. Investment risks are due to the uncertain behaviour of power systems that discourage investors to invest in the transm...

By considering the effect on company business from the random premium and inflations, and taking the surplus capital as investment to enhance the company payment’s capacity for the policy-holder, we proposed a compound negative binomial risk model for the inhomogeneous double type-insurance. For the proposed model, some basic properties of the surplus process were analyzed to obtain its station...

/\ numl..ter of studies have divided Mcxieo into rel!ions ( 1\odril!uez, 19(10; Bnssols, 1961: Wilkie, 1970: Sl'l', 1979; Seoll, ] 9H2). Wilkie (llJ70) tlivideriiVlexico into seven re~ions usin~ poverty level indicators for the years 1910-1960. For the prcsen t analysis, we consolidated l woof Wilkie's regions, the Fede~al District and the West Central Region, which completely ~rrounds the dist...

The complexity class of Πpk-Polynomial Local Search (PLS) problems with Πp` -goal is introduced, and is used to give new characterisations of definable search problems in fragments of Bounded Arithmetic. The characterisations are established via notations for propositional proofs obtained by translating Bounded Arithmetic proofs using the Paris-Wilkie-translation. For ` ≤ k, the Σ`+1-definable ...

Title of dissertation: MICROTURBULENT TRANSPORT OF NON-MAXWELLIAN ALPHA PARTICLES George John Wilkie, Doctor of Philosophy, 2015 Dissertation directed by: Professor William Dorland Department of Physics A burning Deuterium-Tritium plasma is one which depends upon fusion-produced alpha particles for self-heating. Whether a plasma can reach a burning state requires knowledge of the transport of a...

This paper studies environments where individuals allocate resources across relationships with others, creating a weighted, directed network. Value is achieved both through an exogenous factor and maintaining close connections to high-value individuals. We consider two cases corresponding to the direction benefits flow along links. In Model A (for “asking”) agents receive benefits through the l...

The paper reports micro-econometric evidence on the factors that influence self-employment choice, earnings and the ability of the self-employed to generate employment for others. It uses recent longitudinal data for the UK, and is therefore able to exploit multiple observations on the same individual to control for unobserved heterogeneity, and mitigate problems of endogeneity which trouble cr...

In this thesis, I explore Isaacson’s thesis and Wilkie’s theorem, providing philosophical and formal results on how they relate to each other. At a first approximation, Isaacson’s thesis claims that Peano arithmetic is sound and complete with respect to genuinely arithmetical statements. Using internalist notions familiar from recent work on internal categoricity theorems, I provide a formal de...

1 Drawing borders Logic arose in Antiquity from two sources: the study of real argumentation in the dialectical tradition, and that of axiom-based proof patterns organizing scientific inquiry. Over the centuries that followed, the discipline turned abstract and eventually, profoundly mathematical. Is logic still about human reasoning? Or is it, as Kant and Bolzano said, about an abstraction in ...

We study a family of diffusion models for risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. After we defined the process of the conditional probability of ruin over finite time and imposed the appropriate boundary conditions, classical results from the theory of diffusion processes turn the stochastic differential equation to a spec...