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The question is excellent. If two independent random variable with different pdf's are multiplied together, the mathematics of calculating the resultant distribution can be complex. So, I would prefer to use Monte-Carlo simulation to calculate the resultant distribution. Generally, I use the Matlab program. If this is not a satisfactory answer, it would be good to repost your question.

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โˆ™ 2009-02-12 09:15:17
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Q: What is the formula for finding the standard deviation of two independent random variables multiplied together?
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Related questions

What is the standardizing variables?

There doesn't exist such a thing. What does exist are standardized variables, which are variables with mean = 0 and standard deviation = 1


How to add standard deviations?

Square each standard deviation individually to get each variance. Add the variances, divide by the number of variances and then take the square root of that sum. ---------------------------- No, independent linear variables work like this: If X and Y are any two random variables, then mX+Y = mX + mY If X and Y are independent random variables, then s2X+Y = s2X + s2Y


What does it call if you multiplied deviation standard by 2 or by 3?

It is not called anything special, just 2 standard deviations or 3 sd.


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


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3


What are the standard deviation of Barclays bank?

The Bank, itself does not have a standard deviation. The number of branches, the number of customers, lending, profits, CEO's pay are all variables which will have standard deviations but none of them are mentioned. It is not possible to guess which one you are interested in!


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


What is standard deviation of 155.45?

The standard deviation is 0.


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.


Are all variables that are approximentaly normally distributed be transformed to standard normal variables?

Yes, to approximately standard normal.If the random variable X is approximately normal with mean m and standard deviation s, then(X - m)/sis approximately standard normal.


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Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.


Relationship between rayleigh distribution and gaussian distribution?

If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.

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