The asymptotic distribution for the two-absorbing-barrier beta model

For the two-absorbing-barrier specialization of Luce's beta learning model, the asymptotic distribution of the response probability has all its density atp = 0 andp = 1. The functional equation for the amount of the density atp = 1 is investigated in this paper.Abstracted from a portion of the author's doctoral dissertation, University of Pennsylvania, June 1960. The author is indebted to Prof. B. Epstein and to Prof. Robert R. Bush, his dissertation supervisor, for the valuable help and encouragement received from them.The author is grateful to the Moore School for the support extended to him during his doctoral studies. He also wishes to thank D. Parkhill and N. Finkelstein of General Dynamics for their encouragement of his work.