Zobrazeno 1 - 10 of 75 pro vyhledávání: '"W. Hazod"'
2
Semistable Selfdecomposable Laws on Groups
Autor: Riddhi Shah, W. Hazod
Publikováno v: Journal of Applied Analysis. 7:1-22
The most prominent examples of (operator-) selfdecompos- able laws on vector spaces are (operator-) stable laws. In the past (operator-) semistability | a natural generalisation | had been in- tensively investigated, hence the description of the inte
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b401ea1d55715f3ccdfd2d650188af54
https://doi.org/10.1515/jaa.2001.1
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3
Some new limit theorems for vector space- and group-valued random variables
Autor: W. Hazod
Publikováno v: Journal of Mathematical Sciences. 93:531-542
It is shown that weakly convergent sums (products) of normalized i.i.d. random variables with values in a finite-dimensional vector space or in a group are mixing in the sense of A. Renyi, and limit theorems for random sums with nonindependent indice
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::272786594fb02b84905c2aac404c9353
https://doi.org/10.1007/bf02365059
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4
A Generalization of E. Siebert’s Theorem on Convergence of Convolution Semigroups and Accompanying Laws
Autor: W. Hazod
Publikováno v: Theory of Probability & Its Applications. 40:765-769
The convergence of sequences of convolution semigroups of probabilities in terms of their generating functionals is described. The equivalence of the convergence of the accompanying laws and the corresponding generating functionals is proved in the c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aec2ef818dbb80816094da16cc350bb0
https://doi.org/10.1137/1140088
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6
On the Limit Behavior of Products of a Random Number of Group Valued Random Variables
Autor: W. Hazod
Publikováno v: Theory of Probability & Its Applications. 39:249-263
The paper considers a limit behavior of a random number of independent identically distributed random variables taking values in a locally compact group G. In the paper the analogue of the Fahim–Gnedenko transfer theorem is proved and the inverse p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8f11706aebfa4ed60f00ad5e12934876
https://doi.org/10.1137/1139015
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7
The domains of partial attraction of probabilities on groups and on vector spaces
Autor: W. Hazod, Hans-Peter Scheffler
Publikováno v: Journal of Theoretical Probability. 6:175-186
It is shown that for exponential Lie groupsG the limit behavior of i.i.d. triangular arrays on the groupG and on the tangent spaceG coincide. This result is used to obtain a characterization of domains of partial attraction (resp. semistable attracti
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8cb9d3579752ae2d3608ac17ee6627df
https://doi.org/10.1007/bf01046774
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9
�ber den Typenkonvergenzsatz auf zusammenh�ngenden Lie Gruppen
Autor: W. Hazod
Publikováno v: Monatshefte f�r Mathematik. 110:261-278
The Convergence of Types Theorem on ℝd is wellknown as an important tool for investigations on the limit behaviour of normalized sums or r.v. It is natural to look for a generalization for group-valued r.v. While for simply connected nilpotent Lie
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cef417a32b7043254d60d1df12313617
https://doi.org/10.1007/bf01301680
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