The trend-renewal-process (TRP)is defined to be a time-transformed renewal process, where the time transformation is given by a trend function λ(·) which is similar to the intensity of a nonhomogeneous Poisson process (NHPP). A nonparametric maximum likelihood estimator of the trend function of a TRP is obtained under the often natural condition that λ(·) is monotone. An algorithm for computing...

In the wake of decreasing urban development space in China, regeneration has gradually changed from incremental renewal to stock renewal. Looking back on past process renewal, we can find that “Transit-oriented Development” (TOD) plays an essential role modern Therefore, this study, explain concept and principles TOD discuss logic addition, summarize basic features strategy based through analys...

We consider the renewal counting number process N = N(t) as a forward march over the non-negative integers with independent identically distributed waiting times. We embed the values of the counting numbers N in a “pseudo-spatial” non-negative half-line x ≥ 0 and observe that for physical time likewise we have t ≥ 0. Thus we apply the Laplace transform with respect to both variables x and t. Ap...

Regulated mechanisms of stem cell maintenance are key to preventing stem cell depletion and aging. While mitochondrial morphology plays a fundamental role in tissue development and homeostasis, its role in stem cells remains unknown. Here, we uncover that mitochondrial dynamics regulates stem cell identity, self-renewal, and fate decisions by orchestrating a transcriptional program. Manipulatio...

Strategic renewal, although critical for the sustained success of organizations, has received relatively little attention as distinct from the more general phenomenon of strategic change. Like all strategic issues, strategic renewal presents both opportunities and challenges for organizations. In this article, we first define the term “strategic renewal” and elaborate on important characteristi...

The objective of this paper is to examine the organization renewal process in forest owners’ associations and the role of members in this process. Based on 15 qualitative interviews with district council members in a forest owners’ association, we describe the characteristics of today’s elected member representatives in terms of their motives for volunteering, their relationship with the organi...

The superposition process of independent counting renewal processes associated with a heavy-tailed interarrival time distribution is shown to converge weakly after rescaling in time and space to fractional Brownian motion, as the number of renewal processes tends to innnity. Corresponding results for continuous arrival uid processes are discussed.

In this paper, we extend the compound binomial model to the case where the premium income process, based on a binomial process, is no longer a linear function. First, a mathematically recursive formula is derived for non ruin probability, and then, we examine the expected discounted penalty function, satisfy a defect renewal equation. Third, the asymptotic estimate for the expected discounted p...