Regenerative Compositions in the Case of Slow Variation
نویسندگان
چکیده
For S a subordinator and Πn an independent Poisson process of intensity ne−x, x > 0, we are interested in the number Kn of gaps in the range of S that are hit by at least one point of Πn. Extending previous studies in [7, 10, 11] we focus on the case when the tail of the Lévy measure of S is slowly varying. We view Kn as the terminal value of a random process Kn, and provide an asymptotic analysis of the fluctuations of Kn, as n →∞, for a wide spectrum of situations.
منابع مشابه
Regenerative compositions in the case of slow variation: A renewal theory approach
A regenerative composition structure is a sequence of ordered partitions derived from the range of a subordinator by a natural sampling procedure. In this paper, we extend previous studies [1, 8, 12] on the asymptotics of the number of blocks Kn in the composition of integer n, in the case when the Lévy measure of the subordinator has a property of slow variation at 0. Using tools from the rene...
متن کاملExperimental Passive Suppression of the Regenerative Chatter Phenomenon by Variation of the Frequency and Amplitude of the Spindle Motor Excitation in Turning
The suppression of the regenerative chatter phenomenon in turning process via the variation of the frequency and amplitude of the spindle motor excitation is carried out in this research. A programmable inverter is employed for variable periodic excitation of the spindle motor. A set of turning experiments is designed and performed on a number of conical work pieces both in constant spindle spe...
متن کاملExperimental Passive Suppression of the Regenerative Chatter Phenomenon by Variation of the Frequency and Amplitude of the Spindle Motor Excitation in Turning
The suppression of the regenerative chatter phenomenon in turning process via the variation of the frequency and amplitude of the spindle motor excitation is carried out in this research. A programmable inverter is employed for variable periodic excitation of the spindle motor. A set of turning experiments is designed and performed on a number of conical work pieces both in constant spindle spe...
متن کامل0 M ay 2 00 5 Regenerative Compositions in the Case of Slow Variation
For S a subordinator and Π n an independent Poisson process of intensity ne −x , x > 0, we are interested in the number K n of gaps in the range of S that are hit by at least one point of Π n. Extending previous studies in [7, 10, 11] we focus on the case when the tail of the Lévy measure of S is slowly varying. We view K n as the terminal value of a random process K n , and provide an asymptot...
متن کاملInvestigation of metamorphic conditions and mineralogical changes at green-schist to amphibolite facies transition zone using phase diagrams and compositions of the mineral: a case study from the Kordestan province metabasites
In this paper, metamorphic conditions (T, P and fluid composition) in greenschist to amphibolite facies transition zone are investigated using textural evidence, compositions of the minerals and phase diagrams. Metabasits from the south of Kordestan province were metamorphosed from sub-greenschist to upper amphibolite facies. Field observations and petrography studies show that there are some r...
متن کامل