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Record statistics and persistence for a random walk with a drift
Record statistics persistence random walk with a drift
2012/9/14
We study the statistics of records of a one-dimensional random walk of nsteps,starting from the origin, and in presence of a constant bias c. At each time-step
the walker makes a random jump of lengt...
Record Statistics for Multiple Random Walks
Record Statistics Multiple Random Walks Statistical Finance
2012/4/28
We study the statistics of the number of records R_{n,N} for N identical and independent symmetric discrete-time random walks of n steps in one dimension, all starting at the origin at step 0. At each...
Record statistics for biased random walks, with an application to financial data
asymmetric jump distributions finite variance mechanism
2011/3/30
We consider the occurrence of record-breaking events in random walks with asymmetric jump distributions. The statistics of records in symmetric random walks was previously analyzed by Majumdar and Zif...