scholarly journals Partial positive scaling transform: a separability criterion

2005 ◽  
Vol 339 (3-5) ◽  
pp. 194-206 ◽  
Author(s):  
Olga V. Man'ko ◽  
V.I. Man'ko ◽  
G. Marmo ◽  
Anil Shaji ◽  
E.C.G. Sudarshan ◽  
...  
2017 ◽  
Vol 22 (6) ◽  
pp. 1510-1534
Author(s):  
Ryan S. Mattson ◽  
Philippe de Peretti

In this paper, we use the weak separability criterion to check for the existence of six different monetary aggregates reported by the Center of Financial Stability (CFS). We implement an extended version of the semi-nonparametric tests introduced by Barnett and de Peretti on US monthly data from January 1967 to December 2012. The test, first, checks for the necessary existence conditions of an overall utility function and a monetary subutility function, and then tests for the separability of the latter. On different subsamples, our results suggest that only the DM1 aggregate meets the separability criterion. Implemented on macroeconomic data, we have tested a joint assumption about separability and the existence of a representative agent. Thus, the rejection of the null could also be due to the rejection of stringent Gorman's conditions. More advanced tests for weak separability are clearly required to confirm the results found in this paper.


2015 ◽  
Vol 54 (8) ◽  
pp. 2632-2643
Author(s):  
N. Ananth ◽  
V. K. Chandrasekar ◽  
M. Senthilvelan

2019 ◽  
Vol 55 (6) ◽  
pp. 3640-3650 ◽  
Author(s):  
Yang-Yang Dong ◽  
Chun-Xi Dong ◽  
Wei Liu ◽  
Ming-Ming Liu ◽  
Zheng-Zhao Tang

2013 ◽  
Vol 22 (1) ◽  
pp. 013207
Author(s):  
Hui-Liang Ye ◽  
Yan Wu ◽  
Jing-Tao Zhang ◽  
Chu-Yin Shao

2012 ◽  
Vol 26 (27n28) ◽  
pp. 1243006 ◽  
Author(s):  
KAZUO FUJIKAWA

A very explicit analytic formula of the separability criterion of two-party Gaussian systems is given. This formula is compared to the past formulation of the separability criterion of continuous variables two-party Gaussian systems.


2016 ◽  
Vol 37 (5) ◽  
pp. 434-439 ◽  
Author(s):  
Vladimir A. Andreev ◽  
Dragomir M. Davidović ◽  
Ljubica D. Davidović ◽  
Milena D. Davidović ◽  
Miloš D. Davidović ◽  
...  

2003 ◽  
Vol 67 (5) ◽  
Author(s):  
M. G. Raymer ◽  
A. C. Funk ◽  
B. C. Sanders ◽  
H. de Guise

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