William F. Chappell, Mwangi S. Kimenyi, Walter J. Mayer, A Poisson Probability Model of Entry and Market Structure with an Application to U. S. Industries during 1972-77, Southern Economic Journal, Vol. 56, No. 4 (Apr., 1990), pp. 918-927
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Chappell et al. (1990) studied this question.
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