In the expected mean return, standard deviation portfolio selection problem, the first step is usually to derive the set of efficient portfolios, which in the space of objective function values is represented by the efficient frontier. With modern methods and software, it is an easy task even ...
In this paper, we propose the risk measure Mean-CVaR that builds on Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). The Mean-CVaR model can also be interpreted as a mean-deviation model. The objective function of the Mean-CVaR model is characterized by a tolerance level and a...
The first model has six fitted parameters, whereas the second model has six (because it contains the t distribution degrees of freedom). Despite this difference, both information criteria favor the model with the Student's t innovation distribution because it yields smaller AIC and BIC value...
This MATLAB function with no output arguments, this mode displays the convergence of the ECM algorithm in a plot by estimating objective function values for each iteration of the ECM algorithm until termination.
In the set of data 7, 9, 11, 25, the geometric mean = (7 × 9 × 11 × 25)14 = 11.47. The geometric mean has an advantage over the arithmetic mean in that it is less affected by extreme values in a skewed distribution; in the above example, the arithmetic mean of the four nu...
meanW is the mean value of the predicted coefficients given by msepred. Compare the simulated and predicted mean values of LMS filter coefficients 12,13,14, and 15. plot(nn,meanWsim(:,12),'b',nn,meanW(:,12),'r',nn,... meanWsim(:,13:15),'b',nn,meanW(:,13:15),'r') ...
Similar to the LSTM, the GRU uses a sigmoid function to activate its gates, resulting in values ranging between 0 and 1. Reset gates are designed to determine the extent to which the previous state should be retained. Additionally, a gate that regulates the proportion of the new state ...
while values below 1.00 will progressively converge to an equal-weight portfolio. The parameter θ thus controls the regularization of the optimization weights, with values less than 1.00 indicating a preference for reduced portfolio concentration. We can see this method in action inTable 3, where ...
Step 10: Verify the values of cBoth c=1 and c=13 lie within the interval (0,1). Thus, the Mean Value Theorem is verified for the function f(x) on the interval (0,1). SummaryWe have verified that the Mean Value Theorem holds for the function f(x)=x3−2x2−x+3 in the in...
numRAValues = 10; Objective-function definition used bygaandpatternsearch: util = -(expRetExt*(Wts') - A*Wts*expCovExt*(Wts')/2) objfun = @(Wts) util(Wts); Objective function is the negative of utility, sincegaandpatternsearchare minimizers. Refer to the Financ...