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On the asymptotic distribution of the Moran I test statistic withapplications
Moran I test Spatial autocorrelation Asymptotic distribution Central limit theorem
2015/9/24
By far, the most popular test for spatial correlation is the one based on Moran’s (1950) I test statistic. Despite this, the available results in the literature concerning the large sample distributio...
On spatial processes and asymptotic inference under near-epoch dependence
Random fields Near-epoch dependent processes Central limit theorem Law of large numbers GMM estimator
2015/9/24
The development of a general inferential theory for nonlinear models with cross-sectionally or spatially dependent data has been hampered by a lack of appropriate limit theorems. To facilitate a gener...
Asymptotic Properties of Multiperiod Control Rules in the Linear Regression Model
Asymptotic Properties Multiperiod Control Rules
2015/8/5
This is the value of the control rule which would be used if one treated ,d as
known with certainty and equal to the least squares estimate. We call this rule
the least squares certainty equivalence...
A note on asymptotic exponential arbitrage with exponentially decaying failure probability
Asymptotic exponential arbitrage large deviations continuous semimartingale model.
2012/9/14
The goal of this paper is to prove a result conjectured in F¨ollmer and Schachermayer [FS07], even in slightly more general form. Suppose that Sis a continuous semimartingale and satisfies a large dev...
Robust Maximization of Asymptotic Growth under Covariance Uncertainty
Maximization Covariance Uncertainty
2011/7/19
This paper resolves a question proposed in Kardaras and Robertson (2011): how to invest in a robust growth-optimal way in a market where precise knowledge of the covariance structure of the underlying...
A sharp analysis on the asymptotic behavior of the Durbin-Watson statistic for the first-order autoregressive process
Durbin-Watson statistic first-order autoregressive process Statistical test for serial correlation
2011/7/25
Abstract: The purpose of this paper is to provide a sharp analysis on the asymptotic behavior of the Durbin-Watson statistic. We focus our attention on the first-order autoregressive process where the...
Asymptotic analysis for stochastic volatility: Edgeworth expansion
Asymptotic analysis stochastic volatility Edgeworth expansion
2010/10/19
The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic...
Asymptotic equivalence in Lee's moment formulas for the implied volatility and Piterbarg's conjecture
Call and put pricing functions Implied volatility Lee’s moment formula
2010/10/21
The asymptotic behavior of the implied volatility associated with a general call pricing function has been extensively studied in the last decade. The main topics discussed in this paper are Lee's mom...
This paper addresses the question of how to invest in an extremely robust growth-optimal way in a market where the instantaneous expected return of the underlying process is unknown. The optimal inves...
Asymptotic analysis for stochastic volatility: Edgeworth expansion
stochastic volatility Edgeworth expansion European option prices
2010/4/28
The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise
Asymptotic equivalence volatility estimation microstructure noise
2010/10/18
The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam's sens...
Asymptotic behavior of prices of path dependent options
path dependent option Markov property Levy process Asian option partial barrier option asymptotic behavior
2010/11/3
In this paper, we give a numerical method for pricing long maturity,path dependent options by using the Markov property for each underlying asset. This enables us to approximate a path dependent optio...
Asymptotic formulae for implied volatility in the Heston model
Asymptotic formulae implied volatility Heston model
2010/11/2
In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in t...
Asymptotic Implied Volatility at the Second Order with Application to the SABR Model
Stochastic volatility Asymptotic expansion Heat kernel
2010/11/1
We provide a general method to compute a Taylor expansion in time of implied volatility for
stochastic volatility models, using a heat kernel expansion. Beyond the order 0 implied volatility which is...