Statistical Evaluation of Learning Factor in Reliability Studies
A mathematical formulation is developed which allows the statistical evaluation of certain features of the probability distribution of the ratio between two random variables as in the determination of learning factors. This evaluation is of the mode, an s-confidence band for the ratio, and the effect of sample size.
Confidence Intervals for the Ratio of Two Poisson Means and Poisson Predictor Intervals
Easy-to-use charts are presented for confidence intervals for the ratio of two Poisson mean occurrence rates and for predictor intervals for the future value of a Poisson random variable, given a previously observed value. The use of the charts is illustrated and their theoretical basis is given.
Net Spaces in Categorical Topology a
In the paper we introduce the notion of S‐nets, S a nonempty construct, as a generalization of the usual nets. S‐net spaces and continuous maps between them are then defined in a natural way. For S‐net spaces we introduce a number of axioms and study the categories obtained. We find some topological and Cartesian closed categories of S‐net spaces and describe their relations to certain known topological categories.