| :566--581. Diaconis, P. and Mosteller, F. (1989). Methods for studying coincidences. Journal of the American Statistical Association, |
....exact calculations for birthday, coupon collector s and related problems arising in the analysis of algorithms in given in [24] Stadje [49] contains historical references for the coupon collector s problem. The promised book of Diaconis Mosteller has not materialized, but they have a nice paper [23] giving examples and philosophy for coincidences. E19 The random number test. Marsaglia [37] discusses several powerful tests for random number generators. F15 Covering i.i.d. blocks. Martin Hildebrand (personal communication) has a brief argument for ( Phi( m ) 1=m 1= min i P (j 1 = i) ....
P. Diaconis and F. Mosteller. Methods for studying coincidences. JASA, 84:853--861, 1989.
....at least one repeat birthday with the assumptions that birthdays are independent from person to person and each birthdate is equally likely. With a year of length 365 days simple calculations find the answer to be 23. Many variations of this problem have been studied. See Diaconis and Mosteller [8] for a conversational summary of such generalisations. Here we are primarily interested in a sequential version of the Birthday Problem. That is, with a stream of people arriving, what are the distributions of the times that repeat birthdays arrive. We still assume that birthdays are independent ....
P. Diaconis and F. Mosteller. Methods for studying coincidences. J. Amer. Statist. Assoc., 84(408):853--861, 1989.
....is greater than one half. The assumptions are a year of length 365 days, with each day equally likely as a birthday, and birthdays independent from person to person. It is well known that the answer is 23. A number of generalisations of this problem have been studied. See Diaconis and Mosteller [6] for a conversational summary of some of these approaches. Here we are interested in the sequential birthday problem as stated by Camarri and Pitman [4] They consider an iid sequence with a common discrete distribution p, on a finite or countable set S, and calculate the distributions of the ....
P. Diaconis and F. Mosteller. Methods for studying coincidences. The Journal of the American Statistical Association, 84(408):853 -- 861, December 1989.
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:566--581. Diaconis, P. and Mosteller, F. (1989). Methods for studying coincidences. Journal of the American Statistical Association,
No context found.
P.Diaconis and F.Mosteller, Methods for Studying Coincidences. Journal of the American Statistical Association, 84 (1989), pp. 853--861.
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