离散时间随机场HJM型利率模型参数的联合ML估计
Joint ML estimation of all parameters in a discrete time random field HJM type interest rate model
摘要:
考虑离散时间Heath-Jarrow-Morton型利率模型,其中利率曲线由一个几何空间自回归场驱动.对于含有一般随机折现因子的稳定无套利模型,证明了参数的极大似然估计的强相合性和渐近正态性,其中在非独立同分布情形下,ML估计的显式形式不可用. sample.这些结果形成了进一步的统计问题,在这种模式的基础。
英文摘要:
We consider discrete time Heath-Jarrow-Morton type interest rate models, where the interest rate curves are driven by a geometric spatial autoregression field. Strong consistency and asymptotic normality of the maximum likelihood estimators of the parameters are proved for stable no-arbitrage models containing a general stochastic discounting factor, where explicit form of the ML estimators is not available given a non-i.i.d. sample. The results form the basis of further statistical problems in such models.
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