|Table of Contents|

Existence of Endogenous Sampling High Frequency Data(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2015年04期
Page:
36-
Research Field:
数学
Publishing date:

Info

Title:
Existence of Endogenous Sampling High Frequency Data
Author(s):
Xiao HongminYe Li
College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China
Keywords:
endogenoushigh frequency datarealized volatility
PACS:
O212.2
DOI:
-
Abstract:
In view of the high frequency data,especially the ultra-high frequency data,when handling with integral volatility,simplifying assumptions are usually imposed on the relationship between the observation times and the price process. They are generally considered to be independent,but this assumption does not conform to the actual situation. With market microstructure noise,this paper establishes a central limit theorem for the realized volatility in a general endogenous time setting,and documents that this endogeneity can be presented in real stock data.

References:

[1]GRIFFIN J E,RCO O. Coveriance measurement in the presence of non-synchrous trading and market microstructure noise[J]. Journal of econometrics,2013,160(1):58-68.
[2]ADIMYA M,BOUZAHIRB H. Existence for a class of partial functional differential equations with infinite delay[J]. Nonlinear analysis,2011,46(2):91-112.
[3]AIT S,MYKLAND P A,ZHANG L. Ultra high frequency volatility estimation with dependent microstructure noise[J]. Journal of econometrics,2011,80(1):160-175.
[4]ZHANG L,MYKLAND P A. Edgeworth expansions for realized volatility and related estimators[J]. Annals of statistics,2013,64(1):190-203.
[5]韦来生. 数理统计[M]. 北京:科学出版社,2010:65-77.
[6]戴国强,吴林祥. 金融市场微观结构理论[M]. 上海:上海财经大学出版社,1999:88-92.
[7]唐勇,刘峰涛. 金融市场波动测量方法新进展[J]. 华南农业大学学报(自然科学版),2005,44(3):68-72.
[8]张尧庭. 金融市场的统计分析[M]. 桂林:广西师范大学出版社,2008:57-69.
[9]EAN B. Levy processes[M]. Cambridge:Cambridge University Press,2011:61-65.
[10]AASEK K. Contingent claims valuation when the securrity price is a combination of an ito process and a random point process[J]. Stochastic and appliacations,2008,28(2):185-200.

Memo

Memo:
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Last Update: 2015-12-30