Let f be an integrable function on an infinite measure space (S,S , π). We show that if a regenerative sequence {Xn}n≥0 with canonical measure π could be generated then a consistent estimator of λ ≡ ∫ S fdπ can be produced. We further show that under appropriate second moment conditions, a confidence interval for λ can also be derived. This is illustrated with estimating countable sums and inte...

We prove that the notion of KT-invexity for continuous-time nonlinear optimization problem is a necessary and sufficient condition for global optimality of a KarushKuhn-Tucker point.

data types [1] J.A. Bergstra What is an abstract data type? Information Processing Letters, Vol. 7 1 (1978), p. 42-43. [2] J.A. Bergstra, M. Broy, J.V. Tucker and M. Wirsing. On the power of algebraic specifications . In J. Gruska and M. Chytil, eds. Proceedings of MFCS’81. Springer lecure Notes in Computer Science 118 (1981), p. 193-204. [3] J.A. Bergstra and J.-J. Ch. Meyer. Small specificati...

After a brief summary of Tauberian conditions for ordinary sequences of numbers, we consider summability of double sequences of real or complex numbers by weighted meanmethods which are not necessarily products of related weighted mean methods in one variable. Our goal is to obtain Tauberian conditions under which convergence of a double sequence follows from its summability, where convergence ...

This research is a mixed method using an explanatory design. The purpose of this study to use Elista assess lecturer's response thesis guidance based on the gender. was condi-cted in Jambi University, involving 330 female and 359 male lecturers respectively. sampling used purposive technique, with sample criterion being academics who became su-pervisors. Interviews surveys were conducted respon...

in this paper, a model of an optimal control problem with chance constraints is introduced. the parametersof the constraints are fuzzy, random or fuzzy random variables. todefuzzify the constraints, we consider possibility levels.  bychance-constrained programming the chance constraints are converted to crisp constraints which are neither fuzzy nor stochastic and then the resulting classical op...