Quants 2 Flashcards
1
Q
Mode if even
A
(N/2 + (n+2/2))/2
2
Q
Scales
A
Nominal - small vs large
Order - ranking
Interval - equal distr
Ratio - interval + order
3
Q
Harmonic mean
A
N/ Ę(1/xi)
4
Q
How to find a quantile
A
Ly = (n+1) * y/100
Y- quantile
Then interpolation = Xn1 + (Ly-n_) x (xn2 - xn1)
5
Q
Coefficient Variation
A
S/mean
6
Q
Skewness
A
Symmetrical - mean=median=mode Sk = 0
Positive - mean
7
Q
Kurtosis
A
Leptokurtic K>3
Meso k=3
Plato k<3
8
Q
K - #st div away from the mean
A
K = (limit- X)/st div
9
Q
Chebishev inequality
A
Percentage of data lies inside the given interval
At least [1-(1/k^2)] x 100%
10
Q
Shortfall rate
A
(E(R) -required R)/ st div
11
Q
How many observations lies in 1,2,3 st deviation away from mean on norm dist?
A
1 sr diviation away contains 68% of observations
2 st dev away 95%
3st dev 99%
