Let {Tn } be a renewal process in R＋ representing the successive arrival times of some natural events. We studied this process by using a record process approach under the assumption that the interarrival times T,, =...Let {Tn } be a renewal process in R＋ representing the successive arrival times of some natural events. We studied this process by using a record process approach under the assumption that the interarrival times T,, = Tn, - Ta-1, n = 1, 2...are exponentially i.i.d （independent and identically distributed）. The goal is to test that the first observed events are sporadic events. For testing the hypothesis ＂sporadic＂ we used the non-parametric test based on the probability distribution of the statistic of the number of records N, among{Xx }k-1= where Xk = （ΔTk）-1. We showed that it is independent of the cumulative distribution of the observations and that it is exactly calculated for each n. We illustrated this statistic on a simulated trajectory and we compared it with descriptive smoothing methods. We studied an application to a data set as storms in France and US.展开更多
The existing δ 13C data in the Cambrian from different regions of the world are analyzed here. There are four well-documented carbon isotope excursions with global significance. In ascending order, they are： （1） a...The existing δ 13C data in the Cambrian from different regions of the world are analyzed here. There are four well-documented carbon isotope excursions with global significance. In ascending order, they are： （1） a large negative excursion, comparable to ＂BACE＂ （BAsal Cambrian Carbon isotope Excursion） event, which occurs near the Precambrian-Cambrian boundary with a magnitude of 4‰-10‰ （PDB）; （2） the ＂ZHUCE＂ （ZHUjiaqing Carbon isotope Excursion） event, a distinct positive excursion （over 5%0） that can be recognized at the Fortunian Stage to Stage 2 transition; （3） another strong negative one, so-called ＂ROECE＂ （Redlichiid-Olenellid Extinction Carbon isotope Excursion） event, shifting at the interval between Series 2 and Series 3, peaking at -3‰--5‰ （PDB）; （4） the famous Steptoean positive carbon isotope excursion （SPICE）, which has been widely identified at the base of Furongian Series, Paibian Stage, with an amplitude about 4‰ （PDB）. The four sharp σ13C shifts correlate well with coeval paleoceanographic changes and bioevents. Besides, there are some σ13C excursions from a few sections in previous studies, and more data are required to identify whether they are global or regional ones.展开更多
The paper investigates the consensus problem of multiple nonholonomic systems. Two event-triggered control strategies, one centralized and the other distributed, are developed, which can reduce the frequency of contro...The paper investigates the consensus problem of multiple nonholonomic systems. Two event-triggered control strategies, one centralized and the other distributed, are developed, which can reduce the frequency of control updating. Under the proposed protocols, the multiple nonholonomic systems can achieve consensus, and the bound of inter-event time intervals is provided to illustrate that no Zeno behavior exists. Finally, numerical simulations are also provided to demonstrate the effectiveness of the proposed control strategies.展开更多
文摘Let {Tn } be a renewal process in R＋ representing the successive arrival times of some natural events. We studied this process by using a record process approach under the assumption that the interarrival times T,, = Tn, - Ta-1, n = 1, 2...are exponentially i.i.d （independent and identically distributed）. The goal is to test that the first observed events are sporadic events. For testing the hypothesis ＂sporadic＂ we used the non-parametric test based on the probability distribution of the statistic of the number of records N, among{Xx }k-1= where Xk = （ΔTk）-1. We showed that it is independent of the cumulative distribution of the observations and that it is exactly calculated for each n. We illustrated this statistic on a simulated trajectory and we compared it with descriptive smoothing methods. We studied an application to a data set as storms in France and US.
基金supported by National Science and Technology Major Project (Grant No. 2008ZX05004)Major Project of China National Petroleum Corporation (Grant No. 2008E-0702)
文摘The existing δ 13C data in the Cambrian from different regions of the world are analyzed here. There are four well-documented carbon isotope excursions with global significance. In ascending order, they are： （1） a large negative excursion, comparable to ＂BACE＂ （BAsal Cambrian Carbon isotope Excursion） event, which occurs near the Precambrian-Cambrian boundary with a magnitude of 4‰-10‰ （PDB）; （2） the ＂ZHUCE＂ （ZHUjiaqing Carbon isotope Excursion） event, a distinct positive excursion （over 5%0） that can be recognized at the Fortunian Stage to Stage 2 transition; （3） another strong negative one, so-called ＂ROECE＂ （Redlichiid-Olenellid Extinction Carbon isotope Excursion） event, shifting at the interval between Series 2 and Series 3, peaking at -3‰--5‰ （PDB）; （4） the famous Steptoean positive carbon isotope excursion （SPICE）, which has been widely identified at the base of Furongian Series, Paibian Stage, with an amplitude about 4‰ （PDB）. The four sharp σ13C shifts correlate well with coeval paleoceanographic changes and bioevents. Besides, there are some σ13C excursions from a few sections in previous studies, and more data are required to identify whether they are global or regional ones.
基金supported by the National Natural Science Foundation of China under Grant Nos.61573200and 61573199
文摘The paper investigates the consensus problem of multiple nonholonomic systems. Two event-triggered control strategies, one centralized and the other distributed, are developed, which can reduce the frequency of control updating. Under the proposed protocols, the multiple nonholonomic systems can achieve consensus, and the bound of inter-event time intervals is provided to illustrate that no Zeno behavior exists. Finally, numerical simulations are also provided to demonstrate the effectiveness of the proposed control strategies.
