If the Pareto distribution is shifted so that its support starts at scale parameter 2m, then...
A Pareto distribution is often used in economics to explain a
distribution of wealth. Let a random variable X have a Pareto
distribution with parameter θ so that its probability distribution
function is
for
and 0 otherwise. The parameters and
are
known and fixed; is a constant to
be determined.
a) Assuming that
find the expected value and variance of ?
b) Show that for 3 ≥ θ > 2 the Pareto distribution has a
finite mean but infinite variance,...
12. Suppose XIX, iid X, P(θ, l), where P(0,1) is the one-parameter Pareto distribution with density f(x)-0/10+1 for l < x < 00, Assume that θ >2, so that the model θ/(0-1)(8-2)2 (a) obtain the MME θι from the first moment equation and the MIE θ2 (b) Obtain the asymptotic distributions of these two estimators. (c) Show that the ML is asymptotically superior to the MME P(0,1) has finite mean θ/(9 -1 ) and variance
the first three images are for
the same thing so please don't be daunted by them i just thought to
make the question clear. Could you provide a detailed solution for
your answers. like and comment rewarded, thank you.
Question 1 The triangle function with a parameter a > 0 is Not complete A(x/a) = 1- a, Jæ <a Marked out of 10.00 A(r/a) = 0, 2| > a P Flag and its plot is question -a х The triangle...
Part A The cantilever footing is used to support a wall near its edge A so that it causes a uniform soil pressure under the footing. The wall forces are F1 19,000 lb and F-9000 lb (Figure 1) Determine the uniform distribution load twA. measured in lb/ft at pad A, necessary to support the wall forces. Express your answer using three significant figures. A10.18 lb/ft Submit X Incorrect; Try Again; 5 attempts remaining Figure 1 of 1 PartB Determine the...