FROM REPEATED TOSSES OF A FAIR DIE TO THE RENEWAL THEOREM

Author:

Bak Joseph1,Shnaps Daniella2

Affiliation:

1. Department of Mathematics, The City College of New York, 160 Convent Avenue New York, NY 10031 jbak@ccny.cuny.edu

2. Jerusalem College of Technology Havaad Haleumi 21, Givat Mordechai 91160, Jerusalem shnaps@jct.ac.il

Publisher

Research Institute of Science and Technology (RISAT)

Subject

General Medicine

Reference6 articles.

1. [1] Vlad Stefan Barbu and Nikolaos Limnios, Semi-Markov chains and hidden semi-Markov models toward applications, Lecture Notes in Statistics, vol. 191, Springer, New York, 2008. Their use in reliability and DNA analysis.

2. [2] David Blackwell, A renewal theorem, Duke Math. J. 15 (1948), 145–150.

3. [3] P. Erdös, W. Feller, and H. Pollard, A property of power series with positive coefficients, Bull. Amer. Math. Soc. 55 (1949), 201–204.

4. [4] William Feller, An introduction to probability theory and its applications. Vol. I, Third, John Wiley & Sons, Inc., New York-London-Sydney, 1968.

5. [5] S. P. Lalley, Renewal theory, University of Chicago, 2016.

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