Results 141 to 150 of about 658,996 (166)

Joint Registration and Conformal Prediction for Partially Observed Functional Data. [PDF]

J Comput Graph Stat
Wang F, Kurtek S, Zhang Y.
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An improvement of Watson’s theorem on Borel summability

Journal of Mathematical Physics, 1980
Watson’s theorem, which gives sufficient conditions for Borel summability, is not optimal. Watson assumes analyticity and uniform asymptotic expansion in a sector ‖argz‖<π/2+ε, ‖z‖<R, with ε≳0; in fact, only the circular region Re(1/z) ≳1/R is required. In particular, one can take ε=0.
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On a Theorem of Quine and Seneta for the Galton‐Watson Process With Immigration

The Australian Journal of Statistics, 1971
SummaryRecently a limit theorem has been obtained for the limiting‐stationary distribution of a process in which individuals reproduce as in a subcritical Galton‐Watson process and are subject to an independent immigration component at each generation. This paper provides a different proof of this theorem, and under slightly weaker conditions.
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Limit theorem for a supercritical Galton-Watson process

Mathematical Notes, 1975
Letμ n, n = 0, 1, ..., be a Galton-Watson process, and τx + 1 the instant of first crossing of the level x by the process. A limit theorem is proved for the joint distribution of the random variables $$\tau _x ,x - \mu _{\tau _x } ,\mu _{\tau _x + 1} - x(x \to \infty )$$
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The Watson Theorem Prover

Journal of Automated Reasoning, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Randall Holmes, Jim Alves-Foss
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A LIMIT THEOREM FOR THE GALTON‐WATSON PROCESS WITH IMMIGRATION

Australian Journal of Statistics, 1969
SummaryIt is difficult, in general, to optain an explicit expression for the limiting‐stationary distribution, when such a distribution exists, of the process in which teh individuals reproduce as in a Galton‐Wastson process, but are also subject to an independent immigration component at each generation.
Quine, M. P., Seneta, E.
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Remarks to a local limit theorem for galton-watson processes

Annals of the Institute of Statistical Mathematics, 1973
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A New Proof of Extended Watson Summation Theorem [PDF]

Applied Mathematics & Information Sciences, 2018
In the theory of generalized hypergeometric series, classical Watson summation theorem play an important role. In 2010, Kim et al. have given two extensions of the classical Watson summation theorem. In this note, we aim to provide a new proof for one of
Sungtae Jun, Adem Kılıc
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Limit Theorems for the Critical Galton–Watson Processes with Migration

Theory of Probability & Its Applications, 1996
Let \(\xi_i^{(n)}\), \(\zeta_n\), \(i=1,2,\dots,\;n=0,1,\dots\), be independent aleatory variables with \(P(\zeta_n=k)=p_k\), \(P(\zeta_n=-r)=q_r\), \(k=0,1,\dots,\;r=1,2,\dots,m\), \(\sum_{k=0}^\infty p_k+\sum_{r=1}^m q_r=1\), and \(\xi_i^{(n)}\), \(i=1,2,\dots,\) are independent identically distributed for every \(n=0,1,\dots\) We consider the ...
Badalbaev, I. S., Yakubov, T. D.
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An extension of Hawkes theorem on the Hausdorff dimension of a Galton–Watson tree

Probability Theory and Related Fields, 2000
The genealogical tree of a supercritical multi-type Galton-Watson branching process (simple Galton-Watson process assigned labels from a finite set \(\mathcal L\)) is considered. There is defined the limit set \(\Lambda\) of the simple Galton-Watson process as the set of all infinite descent lines, i.e., the set of infinite sequences \(\xi =\xi_1 \xi_2
Lalley, Steven P., Sellke, Thomas
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