Erich Häusler & Harald Luschgy 
Stable Convergence and Stable Limit Theorems [PDF ebook] 

Preface.- 1.Weak Convergence of Markov Kernels.- 2.Stable Convergence.- 3.Applications.- 4.Stability of Limit Theorems.- 5.Stable Martingale Central Limit Theorems.- 6.Stable Functional Martingale Central Limit Theorems.- 7.A Stable Limit Theorem with Exponential Rate.- 8.Autoregression of Order One.- 9.Branching Processes.- A. Appendix.- B. Appendix.- Bibliography.

Erich Haeusler studied mathematics and physics at the University of Bochum from 1972 to 1978. He received his doctorate in mathematics in 1982 from the University of Munich. Since 1991 he has been Professor of Mathematics at the University of Giessen, where he teaches probability and mathematical statistics. Harald Luschgy studied mathematics, physics and mathematical logic at the Universities of Bonn and Münster. He received his doctorate in mathematics in 1976 from the University of Münster. He held visiting positions at the Universities of Hamburg, Bayreuth, Dortmund, Oldenburg, Passau and Wien and was a recipient of a Heisenberg grant from the DFG. Since 1995 he is Professor of Mathematics at the University of Trier where he teaches probability and mathematical statistics.