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## 2012/47 A Stochastic Independence Approach for Different Measures of Concentration and Specialization (2012)

Citations: | 3 - 1 self |

### Citations

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Citation Context ...uivalent to the distance of total variation and has been widely used in particular for the analysis of robustness in mathematical statistics. It has also been used in economic geography (see for e.g. =-=Krugman 1991-=-a, Hallet 2000, Midelfart-Knarvik, Overman, Redding and Venables 2000, Mulligan and Schmidt 2005, et al. ). Moreover, dL1 (N) shows the same representations, in terms of local quotients, and the same ... |

1706 |
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Citation Context ...uivalent to the distance of total variation and has been widely used in particular for the analysis of robustness in mathematical statistics. It has also been used in economic geography (see for e.g. =-=Krugman 1991-=-a, Hallet 2000, Midelfart-Knarvik, Overman, Redding and Venables 2000, Mulligan and Schmidt 2005, et al. ). Moreover, dL1 (N) shows the same representations, in terms of local quotients, and the same ... |

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Citation Context ...ems acting in different geographical scales. This problem is known as the “Modifiable Areal 24Unit Problem” (MAUP), and refers to the role of the geographical partition in use (for more details, see =-=Yule and Kendall 1950-=-; Openshaw 1984; Arbia 1989; Amrhein 1995 and Unwin 1996). The arbitrariness of geographical boundaries gives rise to two different manifestations, namely aggregation and scale, and any statistical me... |

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Citation Context ...stribution. Moreover, a divergence does not satisfied the triangular inequality and its geometric properties are derived from the properties of convex functions (for more details on f-divergence: see =-=Csiszár 1967-=-). Many distance functions are available in the literature of probability theory. For our purposes, the most useful are: dH(q i | r i ) = 1 2 i ( √ qi − √ ri) 2 Hellinger-distance (9) d p Lp (qi | ri ... |

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Citation Context ...rogeneous” and “homogenous” space as in Marcon and Puech (2003). 113.2 On the family of Gini and Krugman coefficients A large class of the proposals in the NEG literature are based on Lorenz curves (=-=Lorenz 1905-=-) and Gini indices (see for e.g. Krugman 1991a, Kim 1995, Amiti 1999, Duranton and Puga 2000, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding a... |

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Citation Context ... geographical scales. This problem is known as the “Modifiable Areal 24Unit Problem” (MAUP), and refers to the role of the geographical partition in use (for more details, see Yule and Kendall 1950; =-=Openshaw 1984-=-; Arbia 1989; Amrhein 1995 and Unwin 1996). The arbitrariness of geographical boundaries gives rise to two different manifestations, namely aggregation and scale, and any statistical measure based on ... |

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Citation Context ...003). 113.2 On the family of Gini and Krugman coefficients A large class of the proposals in the NEG literature are based on Lorenz curves (Lorenz 1905) and Gini indices (see for e.g. Krugman 1991a, =-=Kim 1995-=-, Amiti 1999, Duranton and Puga 2000, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, Lafourcade and Mion 2003, Rossi-Hansbe... |

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Citation Context ...cales. This problem is known as the “Modifiable Areal 24Unit Problem” (MAUP), and refers to the role of the geographical partition in use (for more details, see Yule and Kendall 1950; Openshaw 1984; =-=Arbia 1989-=-; Amrhein 1995 and Unwin 1996). The arbitrariness of geographical boundaries gives rise to two different manifestations, namely aggregation and scale, and any statistical measure based on spatial aggr... |

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Citation Context ...1a, Kim 1995, Amiti 1999, Duranton and Puga 2000, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, Lafourcade and Mion 2003, =-=Rossi-Hansberg 2005-=-, Aiginger and RossiHansberg 2006, and many others). In Appendix C, details are given on a Gini index of relative regional specialization GIi and of relative industrial concentration GIj . Appendix C ... |

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Citation Context ...as the “Modifiable Areal 24Unit Problem” (MAUP), and refers to the role of the geographical partition in use (for more details, see Yule and Kendall 1950; Openshaw 1984; Arbia 1989; Amrhein 1995 and =-=Unwin 1996-=-). The arbitrariness of geographical boundaries gives rise to two different manifestations, namely aggregation and scale, and any statistical measure based on spatial aggregates is sensitive to the sc... |

26 |
2000), “Diversity and specialization in cities: why, where and when does it matter
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Citation Context ...mily of Gini and Krugman coefficients A large class of the proposals in the NEG literature are based on Lorenz curves (Lorenz 1905) and Gini indices (see for e.g. Krugman 1991a, Kim 1995, Amiti 1999, =-=Duranton and Puga 2000-=-, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, Lafourcade and Mion 2003, Rossi-Hansberg 2005, Aiginger and RossiHansberg ... |

25 |
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Citation Context ...problem is known as the “Modifiable Areal 24Unit Problem” (MAUP), and refers to the role of the geographical partition in use (for more details, see Yule and Kendall 1950; Openshaw 1984; Arbia 1989; =-=Amrhein 1995-=- and Unwin 1996). The arbitrariness of geographical boundaries gives rise to two different manifestations, namely aggregation and scale, and any statistical measure based on spatial aggregates is sens... |

20 | Lectures on Contingency Tables
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Citation Context ...ense) does not depend on the selected measure of global specialization nor on the number of cells. There is extensive literature on the comparison of contingency tables with different sizes (see e.g. =-=Lauritzen 1989-=-, van der Heijden, Mooijaart and Takane 1994, and Agresti 172002), while present results are found to be relatively stable among these measures. Moreover, a similar stability is revealed in different... |

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9 |
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Citation Context ....2 On the family of Gini and Krugman coefficients A large class of the proposals in the NEG literature are based on Lorenz curves (Lorenz 1905) and Gini indices (see for e.g. Krugman 1991a, Kim 1995, =-=Amiti 1999-=-, Duranton and Puga 2000, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, Lafourcade and Mion 2003, Rossi-Hansberg 2005, Aig... |

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(Show Context)
Citation Context ... Schmidt (2005) also find that absolute concepts may produce diverging evolution of industrial concentration and regional specialization. “Polarization”, used by Perroux (1950) among others (see e.g. =-=Bickenbach and Bode 2006-=- and 2008), instead of our global specialization, has also been used for the analysis of agglomeration. Starting from a location model, Ellison and Glaeser (1997) define a concept of agglomeration not... |

8 |
Regional specialization and concentration
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(Show Context)
Citation Context ... distance of total variation and has been widely used in particular for the analysis of robustness in mathematical statistics. It has also been used in economic geography (see for e.g. Krugman 1991a, =-=Hallet 2000-=-, Midelfart-Knarvik, Overman, Redding and Venables 2000, Mulligan and Schmidt 2005, et al. ). Moreover, dL1 (N) shows the same representations, in terms of local quotients, and the same decompositions... |

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6 |
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(Show Context)
Citation Context ... with dH, NdKL and GI, and of Ndχ2 with GI is noteworthy. One last aspect should also be checked, namely the stability of the ranking. This aspect may be viewed as a non-parametric approach (see also =-=Slottje 1990-=-). This is examined in Table ?? by means of the Spearman’s rank coefficient and in Figure ?? by means of scatter diagrams among ranks. Here, the rows and columns relative to log(1 + dχ2) are redundant... |

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3 | 2002. EMU and regional labor market disparities in Euroland - Dohse, Krieger-Boden, et al. |

3 |
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(Show Context)
Citation Context ... clustering and correspondence analysis (HCCA), aimed at obtaining a “Best Collapsed Table” with low level of information loss vis-à-vis the degree of specialization in the original data (see more in =-=Haedo 2009-=-). 4.3 Findings Tables ?? and ?? show the 35 × 17 contingency table N of the data along with the row and column totals Ni·, N·j with their proportions. We complete the table by providing region and se... |

3 |
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(Show Context)
Citation Context ... (see for e.g. Krugman 1991a, Kim 1995, Amiti 1999, Duranton and Puga 2000, Hallet 2000, Brülhart 2001, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, =-=Lafourcade and Mion 2003-=-, Rossi-Hansberg 2005, Aiginger and RossiHansberg 2006, and many others). In Appendix C, details are given on a Gini index of relative regional specialization GIi and of relative industrial concentrat... |

3 |
A note on localization and specialization
- Mulligan, Schmidt
- 2005
(Show Context)
Citation Context ...for the analysis of robustness in mathematical statistics. It has also been used in economic geography (see for e.g. Krugman 1991a, Hallet 2000, Midelfart-Knarvik, Overman, Redding and Venables 2000, =-=Mulligan and Schmidt 2005-=-, et al. ). Moreover, dL1 (N) shows the same representations, in terms of local quotients, and the same decompositions as in (??). It is interesting to notice that dL1 has been attributed as a variant... |

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1 |
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(Show Context)
Citation Context ... A large class of the proposals in the NEG literature are based on Lorenz curves (Lorenz 1905) and Gini indices (see for e.g. Krugman 1991a, Kim 1995, Amiti 1999, Duranton and Puga 2000, Hallet 2000, =-=Brülhart 2001-=-, Dohse, Krieger-Boden and Soltwedel 2002, Midelfart-Knarvik, Overman, Redding and Venables 2002, Lafourcade and Mion 2003, Rossi-Hansberg 2005, Aiginger and RossiHansberg 2006, and many others). In A... |

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