Explain or explore something, (e. g, process of make a machine, the causes of a natural or ocial phenomenon, the planning of a project, or a solution of a problem) Description mainly deal with appearance and feelings, and narration with events and experiences, unlike the two, the exposition mainly deals with relationships as well as processes

命题正交矩阵的特征多项式的根的绝对值等于1 证明设入∈C是正交矩阵A的特征多项式的根,则≠0.齐次线性方程组(e-a)X=0 在C内有非零解向量

Discount model is in terms of conditional moments The first order condition is,u'( BE, [u'(c )x 1] The expectation is conditional expectation on investor's time t information; The basic pricing equation is P, =E, (m +1X1+)

CRepresentation of graphics E Breadth-first search EDepth-first search Strongly connected components

Crofton's Method Let X1 and X2 be independent random variables that are uniformly distributed over the interval [o, a]. We are interested in computing E[ -X2l]. For instance, in an urban setting, X1 and X2 may denote the location of an accident and the location where an emergency vehicle is currently parked in a road segment of length a, respectively In this case, we want to know the distance

Lecture Outline M/M/1: finite system capacity, K M/M/m: finite system capacity, K M/M/m: finite system capacity, K=m Related observations and extensions M/E,/1 example M/G/1: epochs and transition probabilities M/G/1: derivation of L Why M/G/m, G/G/1, etc. are difficult

Complaint: Menstrual pain for 3 years Present history e Three years ago, she started to feel pain in lower abdomen and lumbosacral (# BLE )area during menstruation. The a pain has been worsening progressively. In addition,she has heavy men

极大似然估计的求法 —选择参数的估计量,使实验结果具有最大概率 估计量的几个评选标准 ·样本原点矩是总体原点矩的无偏估计量; 无偏性——E()=·样本方差是总体方差的无偏估计量; ·无偏估计量的函数未必是无偏估计量

General GMM formula Let y, be an h-vector of variables that are observed at date t, let denote an unknown vector of coefficients, h(e, y,) Be an r-vector real function. Let denote true value of 0, and suppose this true value is

Our task How to estimate and test discount factor model. Ep,=E(m (data 1, parameter)) 1. Bring an asset pricing model to data to estimate free parameters. For example, parameter,yinm=B(c+1/c)-y Or the b in m=b f 2. Evaluate the model, is it a good model or not? Is another model better?