scholarly journals Infinite non-linear programming

1963 ◽  
Vol 3 (3) ◽  
pp. 294-300 ◽  
Author(s):  
M. A. Hanson
Keyword(s):  
Linear Programming ◽  
Mathematical Programming ◽  
Calculus Of Variations ◽  
Continuous Variable ◽  
Infinitely Divisible ◽  
Non Linear Programming ◽  
Non Linear ◽  
Mathematical Reason ◽  
Finite Spaces ◽  
Infinitely Divisible Processes

In recent years there has been extensive development in the theory and techniques of mathematical programming in finite spaces. It would be very useful in practice to extend this development to infinite spaces, in order to treat more realistically the problems that arise for example in economic situations involving infinitely divisible processes, and in particular problems involving time as a continuous variable. A more mathematical reason for seeking such generalisation is possibly that of obtaining a unification mathematical programming with other branches of mathematics concerned with extrema, such as the calculus of variations.

On the rate of convergence of some functionals of a stochastic process

1990 ◽  
Vol 27 (4) ◽  
pp. 805-814 ◽  
Author(s):  
S. Rachev ◽  
P. Todorovic
Keyword(s):  
Stochastic Process ◽  
Soil Erosion ◽  
Rate Of Convergence ◽  
Crop Production ◽  
Limit Theorems ◽  
Infinitely Divisible ◽  
Total Crop ◽  
Infinitely Divisible Processes

This paper is concerned with the rate of convergence of certain functionals associated with a stochastic process arising in the modelling of soil erosion. Some limit theorems are derived for the total crop production Sn over a number n of years, and the rate of convergence of Sn to its limit S is discussed. Some stability assumptions are considered, and particular stable geometric infinitely divisible processes analyzed.

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