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Journal of the London Mathematical Society 1998 58(3):748-760; doi:10.1112/S0024610798006693
© 1998 by London Mathematical Society
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© The London Mathematical Society

Estimates in Total Variation for Convolutions of Compound Distributions

Vydas Cekanavicius

Department of Mathematics, Vilnius University Naugarduko 24, 2006 Vilnius, Lithuania. E-mail: Vydas.Cekanavicius{at}maf.vu.lt

Received 13 January 1997.

Combining Le Cam's operator approach with Bergström's identity, estimates are obtained for convolutions of compound measures. The results are exemplified by consideration of asymptotic expansions for Compound Poisson approximation in Le Cam's theorem, approximation of nearly homogeneous portfolios and convergence to Compound Poisson laws.


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