Find the optimal adaptive meshes for a skewed beta density, Applied Statistics

Show that the ISB in a bin containing the origin of the double exponen-tial density, f(x) = exp(-|x|)/2, is O(h3); hence, the discontinuity in the derivative of f does not have any asymptotic e ect on consistency. Compare when 0 and h/2 are bin edges. Formally, if f is the ordinary negative exponential density, R(f') is in nite because of the jump at zero (integral of the square of the Dirac delta function at 0), but R(f') is well-de ned for the double exponential.

Consider the exact MISE of a histogram when f = U(0; 1).

(a) If the mesh tk = kh is chosen where h = 1/m, show that MISE(m, n) = (m - 1)/n.

(b) If tk = (k + 1/2 )h with h = 1/m, show that

1012_Find the optimal adaptive meshes for a skewed Beta density.png

(c) Conclude that 2495_Find the optimal adaptive meshes for a skewed Beta density1.png

Verify the inequalities for the adaptive MISE.

Find the optimal adaptive meshes for a skewed Beta density using a numerical optimization program.

Posted Date: 2/16/2013 1:56:45 AM | Location : United States







Related Discussions:- Find the optimal adaptive meshes for a skewed beta density, Assignment Help, Ask Question on Find the optimal adaptive meshes for a skewed beta density, Get Answer, Expert's Help, Find the optimal adaptive meshes for a skewed beta density Discussions

Write discussion on Find the optimal adaptive meshes for a skewed beta density
Your posts are moderated
Related Questions
find the expected value of the mean square error and of the mean square reggression

Estimate a linear probability model: Consider the multiple regression model: y = β 0 +β 1 x 1 +.....+β k x k +u Suppose that assumptions MLR.1-MLR4 hold, but not assump

how to analyzePractice-Based Evidence Back to the Future

Multi stage or Cluster Random sampling  Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat

The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to

The Null Hypothesis - H0: β0 = 0, H0: β 1 = 0, H0: β 2 = 0, Β i = 0 The Alternative Hypothesis - H1: β0 ≠ 0, H0: β 1 ≠ 0, H0: β 2 ≠ 0, Β i ≠ 0      i =0, 1, 2, 3

Two students are sitting in a lecture and considering whether to ask a question from the professor (both of them are considering the same question). If they both ask, the questi

Read the following data on the economy of Angoia and answer/respond to the questions/instructions that follow. Unless otherwise stated, the monetary figures are in real billions o

If the economy does well, the investor's wealth is 2 and if the economy does poorly the investor's wealth is 1. Both outcomes are equally likely. The investor is offered to invest

Define sampling unit and population for selecting a random sample in every case. a) 100 voters from a constituency b) 20 stocks of National Stock Exchange c) 50 account ho