We consider the least square estimator for the parameters of Ornstein-Uhlenbeck processes dY_(s)=(∑_(j=1)^(k)μ_(j)φ_(j)(s)-βY_(s))ds+dZ_(s)^(q,H),driven by the Hermite process Z_(s)^(q,H)with order q≥1 and a Hurs...We consider the least square estimator for the parameters of Ornstein-Uhlenbeck processes dY_(s)=(∑_(j=1)^(k)μ_(j)φ_(j)(s)-βY_(s))ds+dZ_(s)^(q,H),driven by the Hermite process Z_(s)^(q,H)with order q≥1 and a Hurst index H∈(1/2,1),where the periodic functionsφ_(j)(s),,j=1,...,κare bounded,and the real numbersμ_(j),,j=1,...,κtogether withβ>0 are unknown parameters.We establish the consistency of a least squares estimation and obtain the asymptotic behavior for the estimator.We also introduce alternative estimators,which can be looked upon as an application of the least squares estimator.In terms of the fractional Ornstein-Uhlenbeck processes with periodic mean,our work can be regarded as its non-Gaussian extension.展开更多
In this paper,we aim to derive an averaging principle for stochastic differential equations driven by time-changed Lévy noise with variable delays.Under certain assumptions,we show that the solutions of stochasti...In this paper,we aim to derive an averaging principle for stochastic differential equations driven by time-changed Lévy noise with variable delays.Under certain assumptions,we show that the solutions of stochastic differential equations with time-changed Lévy noise can be approximated by solutions of the associated averaged stochastic differential equations in mean square convergence and in convergence in probability,respectively.The convergence order is also estimated in terms of noise intensity.Finally,an example with numerical simulation is given to illustrate the theoretical result.展开更多
In this paper,we study asymptotic behavior of small perturbation for path-distribution dependent stochastic differential equations driven simultaneously by a fractional Brownian motion with Hurst parameter H∈(1/2,1)a...In this paper,we study asymptotic behavior of small perturbation for path-distribution dependent stochastic differential equations driven simultaneously by a fractional Brownian motion with Hurst parameter H∈(1/2,1)and a standard Brownian motion.We establish large and moderate deviation principles by utilising the weak convergence approach.展开更多
In this paper,we derive an averaging principle for a fast–slow system of stochastic differential equations(SDEs)involving distribution-dependent coefficients driven by both fractional Brownian motion(fBm)and standard...In this paper,we derive an averaging principle for a fast–slow system of stochastic differential equations(SDEs)involving distribution-dependent coefficients driven by both fractional Brownian motion(fBm)and standard Brownian motion(Bm).We first establish the existence and uniqueness of solutions of the fast–slow system and the corresponding averaging equation.Then,we show that the slow component strongly converges to the solution of the associated averaged equation.展开更多
Migrants often face challenges in social integration.Using a nationally representative sample of migrant workers and employing the epidemiological approach,this paper examines the determinants of social integration.It...Migrants often face challenges in social integration.Using a nationally representative sample of migrant workers and employing the epidemiological approach,this paper examines the determinants of social integration.It finds that,conditional on a set of individual features,the migrants from less-developed provinces have greater difficulty in integrating into local communities.These results still demonstrate robustness across alternative variables,samples,and various specifications.Mechanism analysis shows that educational and employment factors account for over 40 percent of the variance in social integration levels,suggesting their significant influence.Additionally,the analysis suggests that native bias against migrants,along with misunderstandings between them,may account for part of the remaining variation in social integration levels.Importantly,the ability to speak local dialects has been identified as a crucial factor that can significantly improve migrants'subjective experience of integrating into a new city.By identifying one specific cause of social integration,this paper provides information to individuals and governments and assists them to improve social integration.展开更多
VVc deal with the least squares estimator for the drift parameters of an Ornstein-Uhlenbeck process with periodic mean function driven by fractional Levy process.For this estimator,we obtain consistency and the asympt...VVc deal with the least squares estimator for the drift parameters of an Ornstein-Uhlenbeck process with periodic mean function driven by fractional Levy process.For this estimator,we obtain consistency and the asymptotic distribution.Compared with fractional Ornstein-Uhlenbeck and Ornstein-Uhlenbeck driven by Levy process,they can be regarded both as a Levy generalization of fractional Brownian motion and a fractional generalization of Levy process.展开更多
Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors. Under some conditions, we determine...Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors. Under some conditions, we determine that the limit of partial sums of functionals of a stationary Gaussian sequence of random vectors is an operator self-similar process.展开更多
This paper improves the estimation of firm-level total factor productivity(TFP)by considering energy use and including small-and medium-sized enterprises using data from the Chinese National Tax Survey Database(2008-2...This paper improves the estimation of firm-level total factor productivity(TFP)by considering energy use and including small-and medium-sized enterprises using data from the Chinese National Tax Survey Database(2008-2011).It analyzes the production efficiency of Chinese manufacturing firms using the improved TFP data and finds that(i)the TFP data frequently used in previous studies overestimated firms'real production efficiency;(i)the TFP of manufacturing firms decreased from 2008 to 2011 due to declines in both technical efficiency and allocation efficiency,(ii)the lower capacity utilization of production factors led to lower technical efficiency;and(iv)allocation efficiency decreased more in provinces and industries with higher shares of state-owned enterprises.The findings have policy implications for enhancing growth potential in the long run.展开更多
Let B^H1,K1 and BH2,K2 be two independent bi-fractional Brownian motions. In this paper, as a natural extension to the fractional regression model, we consider the asymptotic behavior of the sequence Sn：=∑i=0^n-1K...Let B^H1,K1 and BH2,K2 be two independent bi-fractional Brownian motions. In this paper, as a natural extension to the fractional regression model, we consider the asymptotic behavior of the sequence Sn：=∑i=0^n-1K（n^αBi^H,K1）（Bi＋1^H2,K2-Bi^H2,K2）where K is a standard Gaussian kernel function and the bandwidth parameter α satisfies certain hypotheses. We show that its limiting distribution is a mixed normal law involving the local time of the bi-fractional Brownian motion B^H1,K1. We also give the stable convergence of the sequence Sn by using the techniques of the Malliavin calculus.展开更多
基金supported by National Natural Science Foundation of China(12071003).
文摘We consider the least square estimator for the parameters of Ornstein-Uhlenbeck processes dY_(s)=(∑_(j=1)^(k)μ_(j)φ_(j)(s)-βY_(s))ds+dZ_(s)^(q,H),driven by the Hermite process Z_(s)^(q,H)with order q≥1 and a Hurst index H∈(1/2,1),where the periodic functionsφ_(j)(s),,j=1,...,κare bounded,and the real numbersμ_(j),,j=1,...,κtogether withβ>0 are unknown parameters.We establish the consistency of a least squares estimation and obtain the asymptotic behavior for the estimator.We also introduce alternative estimators,which can be looked upon as an application of the least squares estimator.In terms of the fractional Ornstein-Uhlenbeck processes with periodic mean,our work can be regarded as its non-Gaussian extension.
基金supported by the National NaturalScience Foundation of China(12071003,11901005)the Natural Science Foundation of Anhui Province(2008085QA20)。
文摘In this paper,we aim to derive an averaging principle for stochastic differential equations driven by time-changed Lévy noise with variable delays.Under certain assumptions,we show that the solutions of stochastic differential equations with time-changed Lévy noise can be approximated by solutions of the associated averaged stochastic differential equations in mean square convergence and in convergence in probability,respectively.The convergence order is also estimated in terms of noise intensity.Finally,an example with numerical simulation is given to illustrate the theoretical result.
基金supported by the National Natural Science Foundation of China(Grant No.12571160)supported in part by the UIC Start-up Research Fund(Grant No.UICR0700072-24)。
文摘In this paper,we study asymptotic behavior of small perturbation for path-distribution dependent stochastic differential equations driven simultaneously by a fractional Brownian motion with Hurst parameter H∈(1/2,1)and a standard Brownian motion.We establish large and moderate deviation principles by utilising the weak convergence approach.
基金supported by the National Natural Science Foundation of China(Grant no.12071003).
文摘In this paper,we derive an averaging principle for a fast–slow system of stochastic differential equations(SDEs)involving distribution-dependent coefficients driven by both fractional Brownian motion(fBm)and standard Brownian motion(Bm).We first establish the existence and uniqueness of solutions of the fast–slow system and the corresponding averaging equation.Then,we show that the slow component strongly converges to the solution of the associated averaged equation.
基金the Research Program of Humanities and Social Sciences of the Ministry of Education of China(No.22YJA790083).
文摘Migrants often face challenges in social integration.Using a nationally representative sample of migrant workers and employing the epidemiological approach,this paper examines the determinants of social integration.It finds that,conditional on a set of individual features,the migrants from less-developed provinces have greater difficulty in integrating into local communities.These results still demonstrate robustness across alternative variables,samples,and various specifications.Mechanism analysis shows that educational and employment factors account for over 40 percent of the variance in social integration levels,suggesting their significant influence.Additionally,the analysis suggests that native bias against migrants,along with misunderstandings between them,may account for part of the remaining variation in social integration levels.Importantly,the ability to speak local dialects has been identified as a crucial factor that can significantly improve migrants'subjective experience of integrating into a new city.By identifying one specific cause of social integration,this paper provides information to individuals and governments and assists them to improve social integration.
基金Guangjun Shen was supported by the Distinguished Young Scholars Foundation of Anhui Province(1608085J06)the Top Talent Project of University Discipline(speciality)(Grant No.gxbjZD03)+2 种基金the National Natural Science Foundation of China(Grant No.11901005)Qian Yu was supported by the ECNU Academic Innovation Promotion Program for Excellent Doctoral Students(YBNLTS2019-010)the Scientific Research Innovation Program for Doctoral Students in Faculty of Economics and Management(2018FEM-BCKYB014).
文摘VVc deal with the least squares estimator for the drift parameters of an Ornstein-Uhlenbeck process with periodic mean function driven by fractional Levy process.For this estimator,we obtain consistency and the asymptotic distribution.Compared with fractional Ornstein-Uhlenbeck and Ornstein-Uhlenbeck driven by Levy process,they can be regarded both as a Levy generalization of fractional Brownian motion and a fractional generalization of Levy process.
文摘Operator self-similar processes, as an extension of self-similar processes, have been studied extensively. In this work, we study limit theorems for functionals of Gaussian vectors. Under some conditions, we determine that the limit of partial sums of functionals of a stationary Gaussian sequence of random vectors is an operator self-similar process.
基金the financial support of the National Natural Science Foundation of China(No.72273157)Research Program of Humanities and Social Sciences of the Ministry of Education of China(No.22YJA790096)Special Program of Philosophy and Social Science Research of the Ministry of Education.
文摘This paper improves the estimation of firm-level total factor productivity(TFP)by considering energy use and including small-and medium-sized enterprises using data from the Chinese National Tax Survey Database(2008-2011).It analyzes the production efficiency of Chinese manufacturing firms using the improved TFP data and finds that(i)the TFP data frequently used in previous studies overestimated firms'real production efficiency;(i)the TFP of manufacturing firms decreased from 2008 to 2011 due to declines in both technical efficiency and allocation efficiency,(ii)the lower capacity utilization of production factors led to lower technical efficiency;and(iv)allocation efficiency decreased more in provinces and industries with higher shares of state-owned enterprises.The findings have policy implications for enhancing growth potential in the long run.
基金Acknowledgements The authors would like to thank the anonymous referees whose remarks and suggestions greatly improved the presentation of the paper. Guangjun Shen was supported in part by the National Natural Science Foundation of China （Grant No. 11271020） and the Natural Science Foundation of Anhui Province （1208085MA11）. Litan YAN was partially supported by the National Natural Science Foundation of China （Grant No. 11171062） and the Innovation Program of Shanghai Municipal Education Commission （12ZZ063）.
文摘Let B^H1,K1 and BH2,K2 be two independent bi-fractional Brownian motions. In this paper, as a natural extension to the fractional regression model, we consider the asymptotic behavior of the sequence Sn：=∑i=0^n-1K（n^αBi^H,K1）（Bi＋1^H2,K2-Bi^H2,K2）where K is a standard Gaussian kernel function and the bandwidth parameter α satisfies certain hypotheses. We show that its limiting distribution is a mixed normal law involving the local time of the bi-fractional Brownian motion B^H1,K1. We also give the stable convergence of the sequence Sn by using the techniques of the Malliavin calculus.
