Ideal quasi-normal convergence and related notions

2017 ◽  
Vol 146 (2) ◽  
pp. 265-281 ◽  
Author(s):  
Lev Bukovský ◽  
Pratulananda Das ◽  
Jaroslav Šupina
Keyword(s):  
Normal Convergence

On the normal convergence of a class of simple batch epidemics

1981 ◽  
Vol 18 (01) ◽  
pp. 31-41
Author(s):  
Naftali A. Langberg
Keyword(s):  
Stochastic Process ◽  
Mild Condition ◽  
Random Variable ◽  
Normal Random Variable ◽  
Contagious Disease ◽  
Normal Convergence

A group of n susceptible individuals exposed to a contagious disease is considered. It is assumed that at each instant in time one or more susceptible individuals can contract the disease. The progress of this epidemic is modeled by a stochastic process Xn (t), t in [0,∞) representing the number of infective individuals at time t. It is shown that Xn (t), with the suitable standardization and under a mild condition, converges in distribution as n → ∞to a normal random variable for all t in (0, t 0), where t 0 is an identifiable number.

scholarly journals Zones of normal convergence in the multi-dimensional case

1961 ◽  
Vol 1 (1-2) ◽  
pp. 27-42
Author(s):  
L. Vilkauskas
Keyword(s):  
Dimensional Case ◽  
Normal Convergence

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Л. Вилкаускас. Зоны нормальной сходимости в многомерном случае L. Vilkauskas. Normalinio konvergavimo zonos daugiamačiu atveju

Normal convergence of multidimensional shot noise and rates of this convergence

1985 ◽  
Vol 17 (4) ◽  
pp. 709-730 ◽  
Author(s):  
Lothar Heinrich ◽  
Volker Schmidt
Keyword(s):  
Large Deviations ◽  
Point Process ◽  
Shot Noise ◽  
Stationary Point ◽  
Sufficient Conditions ◽  
Random Variables ◽  
Representation Formula ◽  
General Lemma ◽  
Stationary Point Process ◽  
Normal Convergence

Using a representation formula expressing the mixed cumulants of realvalued random variables by corresponding moments, sufficient conditions are given for the normal convergence of suitably standardized shot noise assuming that the generating stationary point process is independently marked and Brillinger mixing and that its intensity tends to ∞. Furthermore, estimates for the rate of this normal convergence are obtained by exploiting a general lemma on probabilities of large deviations and on the rate of normal convergence.

Seismotectonics of central and NW Himalaya: plate boundary–wedge thrust earthquakes in thin- and thick-skinned tectonic framework

2018 ◽  
Vol 481 (1) ◽  
pp. 41-63 ◽  
Author(s):  
V. C. Thakur ◽  
R. Jayangondaperumal ◽  
V. Joevivek
Keyword(s):  
Hanging Wall ◽  
Plate Boundary ◽  
Central Himalaya ◽  
Main Central Thrust ◽  
Nw Himalaya ◽  
Oblique Convergence ◽  
Normal Convergence ◽  
Tectonic Framework ◽  
Historical Accounts ◽  
Large Earthquakes

AbstractThe tectonic framework of NW Himalaya is different from that of the central Himalaya with respect to the position of the Main Central Thrust and Higher Himalayan Crystalline and the Lesser and Sub Himalayan structures. The former is characterized by thick-skinned tectonics, whereas the thin-skinned model explains the tectonic evolution of the central Himalaya. The boundary between the two segments of Himalaya is recognized along the Ropar–Manali lineament fault zone. The normal convergence rate within the Himalaya decreases from c. 18 mm a−1 in the central to c. 15 mm a−1 in the NW segments. In the last 800 years of historical accounts of large earthquakes of magnitude Mw ≥ 7, there are seven earthquakes clustered in the central Himalaya, whereas three reported earthquakes are widely separated in the NW Himalaya. The earthquakes in central Himalaya are inferred as occurring over the plate boundary fault, the Main Himalayan Thrust. The wedge thrust earthquakes in NW Himalaya originate over the faults on the hanging wall of the Main Himalayan Thrust. Palaeoseismic evidence recorded on the Himalayan front suggests the occurrence of giant earthquakes in the central Himalaya. The lack of such an event reported in the NW Himalaya may be due to oblique convergence.

scholarly journals Sequence selection principles for quasi-normal convergence

2012 ◽  
Vol 159 (1) ◽  
pp. 283-289 ◽  
Author(s):  
Lev Bukovský ◽  
Jaroslav Šupina
Keyword(s):  
Sequence Selection ◽  
Selection Principles ◽  
Normal Convergence
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