A Note on Selecting the Better Binominal Population

An inverse sampling procedure is proposed for the problem of selecting the better of two treatments when the responses are dichotomous. This procedure is particularly useful when it is desired to limit the number of failures during the decision making stage. The regret function of the procedure is derived and it is shown that this procedure has a minimax regret property when compared to a fixed sample procedure studied by Pradhan and Sathe [2]. Numerical evidence indicates that this procedure dominates the fixed sample procedure of Pradhan and Sathe over the entire parameter space

A Note On the Estimation of the Poisson Parameter

This paper considers the problem of estimating the mean of a Poisson distribution when there are errors in observing the zeros and ones and obtains both the maximum likelihood and moments estimates of the Poisson mean and the error probabilities. It is interesting to note that either method fails to give unique estimates of these parameters unless the error probabilities are functionally related. However, it is equally interesting to observe that the estimate of the Poisson mean does not depend on the functional relationship between the error probabilities

A NOTE ON SELECTING THE BETTER BINOMIAL POPULATION

ABSTRACT. An inverse sampling procedure is proposed for the problem of selecting the better of two treatments when the responses are dichotomous. This procedure is particularly useful when it is desired to limit the number of failures during the decision making stage. The regret function of the procedure is derived and it is shown that this procedure has a minimax regret property when compared to a fixed sample procedure studied by Pradhan and Sath

A "Generalization" of the Logistic Curves and Long-Range Forecasts (1966-1991) of Residence Telephones

This paper investigates the development of a class of models suggested by an application of the logistic curve to model the growth of Bell System residence telephones. These models are expected to be more flexible than the "S"-shaped logistic curve. They allow the "potential expansion of growth" to be a function of a number of economic and sociological variables, e.g., the number of households, per capita disposable income, average revenue per telephone, etc. This approach resulted in the development of a useful model for forecasting Bell System residence telephones.