TL;DR: In this paper, a problem of optimal stopping is formulated and simple rules are proposed which are asymptotically optimal in an appropriate sense, which is of central importance in quality control and also has applications in reliability theory.
Abstract: A problem of optimal stopping is formulated and simple rules are proposed which are asymptotically optimal in an appropriate sense. The problem is of central importance in quality control and also has applications in reliability theory and other areas.
TL;DR: In this article, a simple direct method of determining such a controller is presented, based on the fact that usually a linear combination of the set of state variables is all that is required to reconstruct the optimal control.
Abstract: Many optimal control solutions require a complete set of measurements of current state variables, which may not be fully available It is reasonable to ask whether compensators cannot be designed in such a way that the desirable qualities of the optimal control are reproduced One method of constructing a compensator that generates an asymptotically optimal control is to generate an estimate of the complete set of state variables by an auxiliary dynamic system, such as an observer or a Kalman filter It can be shown, however, that a simpler design is often possible by employing the fact that usually a linear combination of the set of state variables is all that is required to reconstruct the optimal control A simple direct method of determining such a controller is presented in this paper,
TL;DR: In this paper, a t test based on the use of a few sample quantiles selected from large samples is considered for testing the hypothesis H0:?1 =?2 vs. hypothesis H1:? 1 =? 2 concerning the location parameters?1 and?2 of two extreme-value distributions with common unknown scale parameter?.
Abstract: A t test, proposed by Ogawa and based on the use of a few sample quantiles selected from large samples, is considered for testing the hypothesis H0: ?1 = ?2 against the hypothesis H1: ?1 ? ?2 concerning the location parameters ?1 and ?2 of two extreme-value distributions with common unknown scale parameter ?. Tables that simplify the calculation of the test statistic and an example illustrating their use are provided.
TL;DR: A recursive algorithm is given for evaluating the asymptotically optimal code of a specified form to be used when the signal-to-noise ratio in the feedback link is high, and the relationship between this code and the coding procedure of Butman is given.