Continuous-time statistics and generalized relaxation equations★
Department of Mathematics, University of Sussex, Falmer,
BN1 9QH, UK
a e-mail: email@example.com
Received in final form: 27 July 2017
Published online: 1 November 2017
Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized anomalous relaxation equations and semi-Markov processes is illustrated. This relation is then used to discuss continuous-time random statistics in a general setting, for statistics of convolution-type. Two examples are presented in some detail: the sum statistic and the maximum statistic.
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