A Simple Root-N-Consistent Semiparametric Estimator for Discrete Duration Models

2013 ◽  
Author(s):  
Sadat Reza
Keyword(s):  
Simple Root ◽  
Duration Models ◽  
Semiparametric Estimator

scholarly journals Facets of the Generalized Cluster Complex and Regions in the Extended Catalan Arrangement of Type $A$

10.37236/3169 ◽  
2013 ◽  
Vol 20 (4) ◽  
Author(s):  
Susanna Fishel ◽  
Myrto Kallipoliti ◽  
Eleni Tzanaki
Keyword(s):  
Simple Root ◽  
Type A ◽  
Cluster Complex ◽  
Integer Partitions ◽  
Positive Part

In this paper we present a bijection between two well known families of Catalan objects: the set of facets of the $m$-generalized cluster complex $\Delta^m(A_n)$ and that of dominant regions in the $m$-Catalan arrangement ${\rm Cat}^m(A_n)$, where $m\in\mathbb{N}_{>0}$. In particular, the map which we define bijects facets containing the negative simple root $-\alpha$ to dominant regions having the hyperplane $\{v\in V\mid\left\langle v,\alpha \right\rangle=m\}$ as separating wall. As a result, it restricts to a bijection between the set of facets of the positive part of $\Delta^m(A_n)$ and the set of bounded dominant regions in ${\rm Cat}^m(A_n)$. Our map is a composition of two bijections in which integer partitions in an $m$-dilated $n$-staircase shape come into play.

scholarly journals Nonparametric specification tests for conditional duration models

2005 ◽  
Vol 127 (1) ◽  
pp. 35-68 ◽  
Author(s):  
Marcelo Fernandes ◽  
Joachim Grammig
Keyword(s):  
Duration Models ◽  
Specification Tests
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