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A characterization of stationary renewal processes and of memoryless distributions. (English) Zbl 0351.60075

MSC:

60K05 Renewal theory
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References:

[1] Erickson, B.K. and H. Guess (1973), A characterization of the exponential law. The Annals of Probability, Vol. 1, No. 1, 183–185. · Zbl 0259.60039 · doi:10.1214/aop/1176997035
[2] Feller, W. (1966), An Introduction to Probability Theory and Its Applications. Volume II. Wiley, New York. · Zbl 0138.10207
[3] Kotz, S. and N.L. Johnson (1974), A characterization of exponential distributions by a waiting time property. Comm. in Statist., Vol. 3, No. 3, 257–258. · Zbl 0274.62015 · doi:10.1080/03610927408827126
[4] Prabhu, N.U. (1965), Stochastic Processes. Macmillan, New York. · Zbl 0138.10403
[5] Ross, S.M. (1970), Applied Probability Models with Optimization Applications. Holden-Day, San Francisco. · Zbl 0213.19101
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