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FRM - Schweser - Topic 15
Continuous probability distributions
6
Finance
Post-Graduate
04/14/2010

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Term
Describe location-scale invariance:
Definition

property of the normal curve: states that random variables dervied from other normally distributed random variables will also be randomly distributed

 

 

Term
Describe summation stability:
Definition
Property of a normal curve: For a collection of normally distributed random variables that are all independent from each other, summing the means from these random variables will produce a value which is also normally distributed. The sum of the varaiances from these normally distributed random variables will produce a normally distributed variance.
Term
Define domain of attraction:
Definition
Property of normal curve: results in the central limit theorem - this states
Term
Describe the shape of the lognormal distribution:
Definition

- skewed to the right

- bounded on the left by 0 (so it's useful for modeling asset prices which never take negative values).

Term
Describe the hazard rate of an exponentially distributed random variable?
Definition
The rate it will take for an event to occur (often used to indicate the rate at which default will arrive)
Term
When would chi-square distribution be used?
Definition
when evaluating the variance of a normally distributed random variable
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