IDEAL METRICS IN THE PROBLEMS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS
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Publication:3865276
DOI10.1111/J.1467-842X.1979.TB01139.XzbMath0428.62012MaRDI QIDQ3865276
Publication date: 1979
Published in: Australian Journal of Statistics (Search for Journal in Brave)
Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
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A metric approach to investigation of the stability of Pólya theorem on characterization of the normal distribution ⋮ Minimal metrics in a space of random vectors with fixed one-dimensional marginal distributions ⋮ Structure of ideal metrics ⋮ Ideal quadratic metrics ⋮ Method of multiple transformations in stability theory ⋮ Bounds for convergence rate in laws of large numbers for mixed Poisson random sums ⋮ An extension of Zolotarev's problem and some related results ⋮ The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics ⋮ Higher moments of Banach space valued random variables ⋮ Continuity inequalities for multidimensional renewal risk models ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An Actuarial Index of the Right-Tail Risk ⋮ Stability of the characterization of normal distribution in the Laha-Lukacs theorem. ⋮ Asymptotic stability of some nonlinear Boltzmann-type equations ⋮ Minimality of ideal probabilistic metrics ⋮ Stability of some characterization properties of the exponential distribution ⋮ Once again about the stability of Polya's theorem and a regression problem ⋮ On a functional contraction method
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