scholarly journals The generalized and modified Halton sequences in Cantor bases

2018 ◽  
Vol 188 (1) ◽  
pp. 1-29
Author(s):  
Dušan Bednařík ◽  
Poj Lertchoosakul ◽  
Diego Marques ◽  
Pavel Trojovský
Keyword(s):  
Author(s):  
Zhendong Lin ◽  
Guangjun Xie ◽  
Wenbing Xu ◽  
Jie Han ◽  
Yongqiang Zhang

2010 ◽  
Vol 141 (4) ◽  
pp. 369-394 ◽  
Author(s):  
Roswitha Hofer ◽  
Gerhard Larcher
Keyword(s):  

Author(s):  
Marcela A. Munizaga ◽  
Ricardo Alvarez-Daziano

Discrete choice models with error structures that are not independent and identically distributed have received enormous attention in the recent literature. A detailed synthetic study tests this type of model in a controlled case. With mixed logit and probit models as the study objects, calibration was implemented with the use of software available on the Internet. The controlled situation was built as a simulation laboratory, which generated databases with known parameters. The effects of various elements were analyzed: number of repetitions of the simulation, number of observations in the database, and how the use of Halton sequences improves the mixed logit calibration. The scale effects on the different models are also discussed. The results obtained in this specific context lead to some recommendations for future users of these powerful modeling tools. In particular, flexible structures require large sample sizes to calibrate the elements of the covariance matrix.


SIAM Review ◽  
2006 ◽  
Vol 48 (3) ◽  
pp. 487-503 ◽  
Author(s):  
Art B. Owen
Keyword(s):  

2011 ◽  
Vol 84 (2) ◽  
pp. 238-254 ◽  
Author(s):  
ROSWITHA HOFER ◽  
PETER KRITZER

AbstractWe discuss the distribution properties of hybrid sequences whose components stem from Niederreiter–Halton sequences on the one hand, and Kronecker sequences on the other. In this paper, we give necessary and sufficient conditions on the uniform distribution of such sequences, and derive a result regarding their discrepancy. We conclude with a short summary and a discussion of topics for future research.


2012 ◽  
Vol 155 (1) ◽  
pp. 71-84 ◽  
Author(s):  
Harald Niederreiter
Keyword(s):  

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