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

Assignment Help:

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.


Related Discussions:- Find the optimal adaptive meshes for a skewed beta density

Compute the sample mean and sample standard deviation, We want to investiga...

We want to investigate the income data.  In the Excel file Midterm  Data.xls there is a tab labeled "Income Data 2006".  The data in the tab is the income reported by 400 people in

Estimate the standard deviation of the process, Estimate the standard devia...

Estimate the standard deviation of the process: Draw the X (bar) and R charts for the data given and give your comments about the process under study. Estimate the standard de

Cluster analysis, These techniques are applied when the rows and the column...

These techniques are applied when the rows and the columns of the data table represent the same units and when the measure is a disiance or a similarity. The goal of the analysis i

Changes in a particular plant , Scenario : Mrs dick's year 1s and 2s carrie...

Scenario : Mrs dick's year 1s and 2s carried out a level-one science investigation to explain the changes in a particular plant over a period of time.  As part of the investigation

Find the inverse laplace transform, Q. Find the inverse Laplace transform o...

Q. Find the inverse Laplace transform of Y (s) = s-4/s 2 + 4s + 13 +3s+5/s 2 - 2s -3. Q. Use the Laplace transform to solve the initial value problem y''+ y = cos(3t), y(0) =

Large-sample and small-sample simulations, Show that when h = h* for the h...

Show that when h = h* for the histogram, the contribution to AMISE of the IV and ISB terms is asymptotically in the ratio 2:1. Compare the sensitivity of the AMISE(ch) in Equa

business forecasting, Explain the characteristics of business forecasting

Explain the characteristics of business forecasting.

Interpolation and extrapolation, Meaning of Interpolation and Extrapolation...

Meaning of Interpolation and Extrapolation Interpolation is a method of estimating the most probable  missing figure on  the basis of given data under certain assumptions. On t

Methods of forecasting, Methods of Forecasting  Various techniques whic...

Methods of Forecasting  Various techniques which are generally used in business forecasting are as under: 1.      Forecasting  through the opinion of heads  of department

Show the hypothesis test, The file Midterm Data.xls has a tab labeled "Inc...

The file Midterm Data.xls has a tab labeled "Income Data 2009". This data is collected income data from a sample of 400 people in 2009. Use a hypothesis test to see whether the av

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd