Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Lutz Mattner"'
Publikováno v:
Statistics & Probability Letters. 133:38-41
Let P be a probability on the real line generating a natural exponential family ( P t ) t ∈ R . We show that the property that t is a median of P t for all t characterizes P as the standard Gaussian law N ( 0 , 1 ) .
Autor:
Jona Schulz, Lutz Mattner
Publikováno v:
Transactions of the American Mathematical Society. 370:727-748
The Kolmogorov distances between a symmetric hypergeometric law with standard deviation σ \sigma and its usual normal approximations are computed and shown to be less than 1 / ( 8 π σ ) 1/(\sqrt {8\pi }\,\sigma ) , with the order 1 / σ 1/\sigma a
Autor:
Lutz Mattner, Irina Shevtsova
Publikováno v:
Doklady Mathematics. 95:250-253
We provide an optimal Berry-Esseen type inequality for Zolotarev’s ideal ζ3-metric measuring the difference between expectations of sufficiently smooth functions, like |·|3, of a sum of independent random variables X 1,..., X n with finite third-
Publikováno v:
Theory of Probability & Its Applications. 59:359-374
The theory of the basic statistical concept of (Lehmann-Scheff\'e-)completeness is perfected by providing the theorem indicated in the title and previously overlooked for several decades. Relations to earlier results are discussed and illustrating ex
Publikováno v:
Teoriya Veroyatnostei i ee Primeneniya. 59:542-561
Autor:
Lutz Mattner, Irina Shevtsova
Publikováno v:
Latin American Journal of Probability and Mathematical Statistics. 16:463
Autor:
T Dinev, Lutz Mattner
Publikováno v:
Teoriya Veroyatnostei i ee Primeneniya. 57:381-384
Autor:
Lutz Mattner, Achim Klenke
Publikováno v:
Advances in Applied Probability. 42:392-410
For several pairs $(P,Q)$ of classical distributions on $\N_0$, we show that their stochastic ordering $P\leq_{st} Q$ can be characterized by their extreme tail ordering equivalent to $ P(\{k_\ast \})/Q(\{k_\ast\}) \le 1 \le \lim_{k\to k^\ast} P(\{k\
Autor:
Lutz Mattner
Publikováno v:
Metrika. 73:43-59
For one-sample level α tests ψm based on independent observations X1, . . . , Xm, we prove an asymptotic formula for the actual level of the test rejecting if at least one of the tests ψn, . . . , ψn+k would reject. For k = 1 and usual tests at u
Autor:
Tristan L. Guttridge, Jens Krause, Richard James, Lutz Mattner, Samuel H. Gruber, Mark J. Corcoran, Stefan Krause
Publikováno v:
Behavioral Ecology and Sociobiology. 63:1089-1096
Analyses of animal social networks derived from group-based associations often rely on randomisation methods developed in ecology (Manly, Ecology 76:1109–1115, 1995) and made available to the animal behaviour community through implementation of a p