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pro vyhledávání: '"Stirzaker, David"'
Autor:
Clifford, Peter, Stirzaker, David
Ulam has defined a history-dependent random sequence of integers by the recursion $X_{n+1}$ $= X_{U(n)}+X_{V(n)}, n \geqslant r$ where $U(n)$ and $V(n)$ are independently and uniformly distributed on $\{1,\dots,n\}$, and the initial sequence, $X_1=x_
Externí odkaz:
http://arxiv.org/abs/1911.07529
Autor:
Clifford, Peter, Stirzaker, David
We consider random processes that are history-dependent, in the sense that the distribution of the next step of the process at any time depends upon the entire past history of the process. In general, therefore, the Markov property cannot hold, but i
Externí odkaz:
http://arxiv.org/abs/1911.07269
The reader is reminded of several puzzles involving randomness. These may be ill-posed, and if well-posed there is sometimes a solution that uses probabilistic intuition in a special way. Various examples are presented including the well known proble
Externí odkaz:
http://arxiv.org/abs/1910.02515
Autor:
Stirzaker, David
Publikováno v:
The Mathematical Gazette, 2000 Jul 01. 84(500), 197-210.
Externí odkaz:
https://www.jstor.org/stable/3621649
Autor:
Clifford, Peter, Stirzaker, David
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2008 May 01. 464(2093), 1105-1124.
Externí odkaz:
https://www.jstor.org/stable/20209457
Autor:
Stirzaker, David
Publikováno v:
Advances in Applied Probability, 2006 Mar 01. 38(1), 284-286.
Externí odkaz:
https://www.jstor.org/stable/20443439