How special is a 'special' interval: modeling departure from length-biased sampling in renewal processes

Some Asymptotic Results of Kernel Density Estimator in Length-Biased Sampling

In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horváth [10]. All simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...

How special is the Solar System?

Most mechanisms proposed for the formation of planets are modified versions of the mechanism proposed for the solar system. Here we argue that, in terms of those planetary systems which have been observed, the case for the solar system being a typical planetary system has yet to be established. We consider the possibility that most observed planetary systems have been formed in some quite diffe...

Order estimation for a special class of hidden Markov sources and binary renewal processes

We consider the estimation of the order, i.e., the number of hidden states, of a special class of discrete-time finite-alphabet hidden Markov sources. This class can be characterized in terms of equivalent renewal processes. No a priori bound is assumed on the maximum permissible order. An order estimator based on renewal types is constructed, and is shown to be strongly consistent by computing...

Special topic introduction: Minerva at the departure gate.

Stability of International Production Networks: Is East Asia Special?

Trade relationships built through production chains appear to be lasting due to relation-specific nature of the transactions, compared with the usual transactions of goods sold on the open market. This paper aims to verify such stability of international production networks at the global level, with special emphasis on intra-East Asian trade. A series of survival analyses provide an evidence su...