AboutJason Eisele Expertise I am qualified to answer probability questions through the undergraduate level. I can also assist with the first actuarial exam in probability and explain the roles of probability in applications such as economics and game theory.
I hope to address any topics that I am currently unfamiliar with during my studies as an actuary.
Experience I am beginning employment as an Actuarial Assistant with a major auto insurer. On the side, I have experience applying probability to poker at a highly competitive level.
Organizations Mensa
Education/Credentials University of Rochester Class of 2008:
Bachelor of Arts, Mathematics and Economics
Certificate in Actuarial Studies
Certificate in Mathematical Modeling in Political Science and Economics
Certificate in Management Studies with track in Accounting and Finance
Question What is generally meant by Skewness and kurtosis and what's the statistical meaning of it?If you have got any further link for me to read pls send me that as well.Thanks..
Answer Hi Roshan,
While these are not areas of my expertise, they will be touched on in many statistics courses and examined more deeply at the higher levels.
Skewness is a measure of a distribution's asymmetry. If skewness is positive, we say that it is skewed right because most of the variance from the mean is in the positive direction. Income in most societies has positive skewness, because the gap between the wealthy and the middle class has the room to be much greater than the gap between the poor and the middle class. If the opposite is the case, the distribution is negatively skewed, or skewed left. Lastly, if the distribution is symmetrical (like a normal distribution) it has zero skewness.
Kurtosis is a measure of a distribution's vertical stretch. If the increase to the mode is sharper than that of a normal distribution, it has positive kurtosis and is thus leptokurtic. This would happen the distribution is tightly packed for the most part, with a few extreme data points contributing to the bulk of the variance. If the opposite is the case, the distribution has negative kurtosis and is therefore platykurtic (think plateau). A distribution with zero kurtosis (like a normal distribution) is mesokurtic (think middle).
Here are some links for pictures, explanations, and mathematical properties:
