Question

For the Lognormal Distribution a. Is the mean a parameter of position, scale, shape or a...

For the Lognormal Distribution

a. Is the mean a parameter of position, scale, shape or a combination? Explain.

b. Is the standard deviation a parameter of position, scale, shape or a combination? Explain.

c. How can you convert standard deviation into variance?

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Answer #1

A shape parameter, as the name suggests, affects the general shape of a distribution.
The larger the scale parameter, the more spread out the distribution.
a.
Mean is a position parameter.

b.
Standard deviation is a scale parameter, the larger it is , the more spread out will be the distribution.

c.
Standard deviation is the square root of Variance.

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