Eine Momentengleichung bei Exponentialfamilien.
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Displaying 1 – 6 of 6
Ergodic properties of locally stationary processes
Jiří Michálek (1986)
Kybernetika
Euclidean distances on signed measures and application to Berry-Esséen theorems. (Distances euclidiennes sur les mesures signées et application à des théorèmes de Berry-Esséen.)
Suquet, Ch. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Existence of a critical point for the infinite divisibility of squares of Gaussian vectors in with non-zero mean.
Rosen, Jay S., Marcus, Michael B. (2009)
Electronic Journal of Probability [electronic only]
Exponential deficiency of convolutions of densities
Iosif Pinelis (2012)
ESAIM: Probability and Statistics
If a probability density p(x) (x ∈ ℝk) is bounded and R(t) := ∫e〈x, tu〉p(x)dx < ∞ for some linear functional u and all t ∈ (0,1), then, for each t ∈ (0,1) and all large enough n, the n-fold convolution of the t-tilted density ˜pt := e〈x, tu〉p(x)/R(t) is bounded. This is a corollary of a general, “non-i.i.d.” result, which is also shown to enjoy a certain optimality property. Such results and their corollaries stated in terms of the absolute integrability of the corresponding characteristic...
Exponential deficiency of convolutions of densities∗
Iosif Pinelis (2012)
ESAIM: Probability and Statistics
If a probability density p(x) (x ∈ ℝk) is bounded and R(t) := ∫e〈x, tu〉p(x)dx < ∞ for some linear functional u and all t ∈ (0,1), then, for each t ∈ (0,1) and all large enough n, the n-fold convolution of the t-tilted density := e〈x, tu〉p(x)/R(t) is bounded. This is a corollary of a general, “non-i.i.d.” result, which is also shown to enjoy a certain optimality property. Such results and their corollaries stated in terms of the absolute integrability of the corresponding characteristic...
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