scholarly journals A note on positive distributions in Gaussian analysis

1995 ◽  
Vol 47 (5) ◽  
pp. 749-759 ◽  
Author(s):  
Yu. G. Kondrat'ev ◽  
L. Streit ◽  
W. Westerkamp
Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 908
Author(s):  
Perla Celis ◽  
Rolando de la Cruz ◽  
Claudio Fuentes ◽  
Héctor W. Gómez

We introduce a new class of distributions called the epsilon–positive family, which can be viewed as generalization of the distributions with positive support. The construction of the epsilon–positive family is motivated by the ideas behind the generation of skew distributions using symmetric kernels. This new class of distributions has as special cases the exponential, Weibull, log–normal, log–logistic and gamma distributions, and it provides an alternative for analyzing reliability and survival data. An interesting feature of the epsilon–positive family is that it can viewed as a finite scale mixture of positive distributions, facilitating the derivation and implementation of EM–type algorithms to obtain maximum likelihood estimates (MLE) with (un)censored data. We illustrate the flexibility of this family to analyze censored and uncensored data using two real examples. One of them was previously discussed in the literature; the second one consists of a new application to model recidivism data of a group of inmates released from the Chilean prisons during 2007. The results show that this new family of distributions has a better performance fitting the data than some common alternatives such as the exponential distribution.


2012 ◽  
Vol E95.D (12) ◽  
pp. 3010-3016 ◽  
Author(s):  
Kam Swee NG ◽  
Hyung-Jeong YANG ◽  
Soo-Hyung KIM ◽  
Sun-Hee KIM

PLoS ONE ◽  
2014 ◽  
Vol 9 (1) ◽  
pp. e87024 ◽  
Author(s):  
Jing Yuan ◽  
David Ka Wai Yeung ◽  
Greta S. P. Mok ◽  
Kunwar S. Bhatia ◽  
Yi-Xiang J. Wang ◽  
...  

New Astronomy ◽  
2005 ◽  
Vol 10 (6) ◽  
pp. 491-515 ◽  
Author(s):  
Kevin M. Huffenberger ◽  
Uroš Seljak

2002 ◽  
Vol 31 (7) ◽  
pp. 413-420 ◽  
Author(s):  
ZhiyuanHuang Huang ◽  
Xiaoshan Hu ◽  
Xiangjun Wang

This paper is devoted to construction and investigation of explicit forms of Wick tensor powers in general white noise spaces. We give an extension of some objects and structure of Gaussian analysis to the case of more general white noise measures onE*(the dual of a nuclear spaceE), such that the random variable〈ω,ξ〉is infinitely divisible distributed for anyξ∈Eandω∈E*.


2014 ◽  
Vol 16 (41) ◽  
pp. 22458-22461 ◽  
Author(s):  
Jianping Wu

Gaussian analysis of Raman spectroscopy reveals three hydrogen bonding structures in the liquid acetic acid (AA): linear chains, cyclic dimers and dissociated monomers that effectively cooperate with hydrogen bonded stacks of linear AA or polymer chains.


2016 ◽  
Vol 23 (5) ◽  
pp. 1576-1581 ◽  
Author(s):  
Darcy White ◽  
Evan F. Risko ◽  
Derek Besner

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