- #1
tuanle007
- 36
- 0
can someone help me with this problem?
E[(x^3 + 7x^2)^3]
what is the central moments?
mij=E[(x-xbar)^i * (y-ybar)^j]
E[(x^3 + 7x^2)^3]
what is the central moments?
mij=E[(x-xbar)^i * (y-ybar)^j]
Central moments are a set of statistical measures that describe the shape, location, and variability of a probability distribution. They are calculated by taking the moments of a random variable relative to its mean.
To calculate central moments, you first need to find the mean of the distribution. Then, you raise each value in the distribution to a power and multiply it by the corresponding probability. Finally, you sum all of these values together to get the central moment.
To calculate central moments of a polynomial distribution, you can use the formula E[(x - μ)^k] where x is the random variable, μ is the mean, and k is the desired moment. For the example given, k would be 3.
Central moments are calculated relative to the mean of a distribution, while raw moments are calculated relative to the origin (usually 0). This means that central moments are more useful for describing the shape and variability of a distribution, while raw moments are more useful for calculating other statistical measures like skewness and kurtosis.
Central moments provide information about the shape, location, and variability of a distribution. They can help you determine if a distribution is symmetric or skewed, if it has a central tendency, and how spread out the data is. This information can be useful for making inferences and drawing conclusions about a population based on a sample.