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Dickey and Fuller proposed tests for the unit root hypotheses in a uni-variate time series. Perron (1989) extended the t-ratio type unit-root tests so that they allow for a break in the deterministic...
In mathematical nance and other applications of stochastic processes, it is frequently the case that the characteristic function may be known but explicit forms for density functions are not availabl...
The covariance matrix is formulated in the framework of a linear multivariate ARCH process with long memory, where the natural cross product structure of the covariance is generalized by adding two ...
通过鞅定价方法并借助于极值的概率分布研究了单点水平重置期权的定价问题,并且得到了单点水平重置看涨期权与看跌期权的定价公式.
In this paper we consider a class of BSDEs with drivers of quadratic growth, on a stochastic basis generated by continuous local martingales. We first derive the Markov property of a forward-backwar...
Volatility modelling has become a significant area of research within Financial Mathematics. Wiener process driven stochastic volatility models have become popular due their consistency with theoretic...
We introduce two numerical conjugacy invariants for dynamical systems – the complexity and weak complexity indices – which are well-suited for the study of “completely integrable” Hamiltonian systems....
Based on the Multifractal Detrended Fluctuation Analysis (MFDFA) and on the Wavelet Transform Modulus Maxima (WTMM) methods we investigate the origin of multifractality in the time series.
In this paper we attempt to introduce an econophysics approach to evaluate some aspects of the risks in financial markets. For this purpose, the thermodynamical methods and statistical physics resul...
We introduce a general framework for models of cascade and contagion processes on networks, to identify their commonalities and differences. In particular, models of social and financial cascades, as ...
We study the performance of the adaptive construction scheme for a Bayesian inference on the Quadratic GARCH model which introduces the asymmetry in time series dynamics.In the adaptive construction s...
This paper presents an axiomatic scheme for interest rate models in discrete time. We take a pricing kernel approach, which builds in the arbitrage-free property and pro- vides a link to equilibrium...
This paper formed part of a preliminary research report for a risk consultancy and academic research. Stochastic Programming models provide a powerful paradigm for decision making under uncertainty. I...
Consider an agent taking two successive decisions to maximize his expected utility under uncertainty. After his first decision, a signal is revealed that provides information about the state of nature...
We present a comprehensive study of utility function of the minority game in its efficient regime. We develop an effective description of state of the game. For the payoff function g(x) = sgn(x) we ...

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