Szerző szerinti böngészés "Masasila, Nyanga Honda"

Megjelenítve 1 - 3 (Összesen 3)
  • Nincs kép
    TételSzabadon hozzáférhető
    Conditional and Quantitative Strong Laws of Large Numbers
    (2026) Masasila, Nyanga Honda; Fazekas, István; Informatikai tudományok doktori iskola; Informatikai Kar
    This dissertation investigates advanced generalizations of the Strong Law of Large Numbers (SLLN) within conditional, multi-indexed, and nonlinear probabilistic frameworks. The first part establishes a general conditional SLLN by proving that conditional Kolmogorov-type maximal inequalities imply conditional Hájek–Rényi inequalities, which in turn yield almost sure convergence of normalized partial sums. The second part develops quantitative SLLNs for double-indexed random variables, deriving explicit probability bounds and convergence rates for pairwise independent and quasi-uncorrelated arrays. The third part extends the theory to conditional sub-additive expectations and capacities, where strong laws are formulated in terms of quasi-sure convergence in non-additive probability spaces. Further results are obtained for φ-sub-Gaussian random variables under sublinear expectations, showing that exponential tail control is sufficient for strong convergence without classical moment assumptions.
  • Nincs kép
    TételSzabadon hozzáférhető
    Mathematical Analysis of the Role of Information on the Dynamics of Typhoid Fever
    (2025) Masasila, Nyanga Honda; Ngeleja, Rigobert C.; Kigodi, Odeli J.
  • Nincs kép
    TételKorlátozottan hozzáférhető
    Numerical Methods for Ordinary Differential Equations
    Masasila, Nyanga Honda; Fazekas, Borbála Andrea; DE--Természettudományi és Technológiai Kar--Matematikai Intézet
    Some ordinary differential equations do not have exact solutions. Their solutions can be approximated by numerical methods. This thesis presents several numerical methods for solving IVPs. Moreover, the methods are compared in terms of their accuracy, convergence, and consistency. Among all the selected methods, the four-stage Runge-Kutta method of fourth-order is verified to be the most effective method as it could be expected.