Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals

Andrej Pázman

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In the paper it is shown that each solution $u (r, α)$ ot the initial value problem (2), (3) has a finite limit for $r \to \infty$ , and an asymptotic formula for the nontrivial solution $u (r, α)$ tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions $u (r, \bar{α})$ , $u (r, \hat{α})$ .

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Hassler Whitney (1937)

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Displaying similar documents to “Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals”

Generalized timelike Mannheim curves in Minkowski space-time E 1 4 .

Centroaffine invariants of plane curves in connection with the theory of the second-order linear differential equations

On some properties of the solution of the differential equation u ' ' + 2 u ' r = u - u 3

Involute-evolute curve couples in the Euclidean 4-space.

On regular closed curves in the plane

Curves of constant breadth

Generalized timelike Mannheim curves in Minkowski space-time $E_{1}^{4}$ .

On some properties of the solution of the differential equation $u^{''} + \frac{2 u^{'}}{r} = u - u^{3}$