| 2921. |
- Häggström, Olle, 1967
(författare)
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Om missbruket av statistik
- 2009
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Ingår i: Axess. ; 2009:4
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)
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| 2922. |
- Häggström, Olle, 1967
(författare)
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On the Central Limit Theorem for Geometrically Ergodic Markov Chains
- 2005
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Ingår i: Probability theory and related fields. - : Springer Science and Business Media LLC. - 0178-8051 .- 1432-2064. ; 132:1, s. 74-82
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Tidskriftsartikel (refereegranskat)abstract
- Let X-0,X-1,... be a geometrically ergodic Markov chain with state space X and stationary distribution pi. It is known that if h:X -> R satisfies pi(vertical bar h vertical bar(2+epsilon)) < infinity for some epsilon > 0, then the normalized sums of the X-i's obey a central limit theorem. Here we show, by means of a counterexample, that the condition pi(vertical bar h vertical bar(2+epsilon)) < infinity cannot be weakened to only assuming a finite second moment, i.e., pi(h(2)) < infinity.
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| 2923. |
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| 2924. |
- Häggström, Olle, 1967
(författare)
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Percolation beyond Zd: The contributions of Oded Schramm
- 2011
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Ingår i: Annals of Probability. - : Institute of Mathematical Statistics. - 0091-1798 .- 2168-894X. ; 39:5, s. 1668-1701
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Tidskriftsartikel (refereegranskat)abstract
- Oded Schramm (1961-2008) influenced greatly the development of percolation theory beyond the usual Z(d) setting; in particular, the case of nonamenable lattices. Here, we review some of his work in this field.
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| 2925. |
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| 2926. |
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| 2927. |
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| 2928. |
- Häggström, Olle, 1967
(författare)
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Slumpen och evolutionen
- 2005
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Ingår i: Nämnaren. ; :3, s. 25-31
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)
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| 2929. |
- Häggström, Olle, 1967, et al.
(författare)
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Some Two-dimensional Finite Energy Percolation Processes
- 2009
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Ingår i: Electronic Communications in Probability. - 1083-589X. ; 14, s. 42-54
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Tidskriftsartikel (refereegranskat)abstract
- Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the probability that a site is open given the status of all others is bounded away from 0 and 1) and exhibits a.s. the coexistence of an infinite open cluster and an infinite closed cluster. Essentially the same example shows that coexistence is possible between an infinite open cluster and an infinite closed cluster that are both robust under i.i.d. thinning.
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| 2930. |
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