Learning objectives: Use sample data to estimate quantiles, including the median. Estimate the mean of two variables and apply the CLT. Estimate the covariance and correlation between two random variables. Explain how coskewness and cokurtosis are related to skewness and kurtosis.
Learning objectives: Explain what is meant by the statement that the mean estimator is BLUE. Describe the consistency of an estimator and explain the usefulness of this concept. Explain how the Law of Large Numbers (LLN) and Central Limit Theorem (CLT) apply to the sample mean. Estimate and...
I was going through Miller Chapter 3 - Basic Statistics. In Skewness Topic, Miller mentioned that Skewness is important because investors might have different take on investment with same mean, same Standard Deviations but different skewness. He further states that investment with...
In the 2011 quant part a video you define the numerator of skewness as E[(Y-mu)^3] and then as mu^3 (slide 14). The same goes for kurtosis. Is there an error or am I interpreting something incorrectly?
Any explanation would be gretly appreciated.
I was recently going over chapter four of the FRM handbook when I came across the statement, "Relative to a symmetric distribution, a short option position has negative skewness, or a long left tail," on page 100. Example 4.9 also states matter of fact, that "short option positions have long...
Could you please provide some guidance on the following:
1) Sample Skewness and Kurtosis Formulas
I have seen 2 differnt versions,can you please clarify which is correct:
Version#1: Sample Skewness
Sum of Third moment about the mean / cube of Std Deviation * 1/ N...
I have a question regarding kurtosis and skewness.
In investment terms skewness is supposed to mean “bias toward positive or negative return”.
Kurtosis captures the tendency of the price of this investment to jump either direction. In FRM, I’ve encountered EVT, and its objective...