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

Multivariate statistical methods, As one of the oldest multivariate stati...

As one of the oldest multivariate statistical methods of data reduction, Principal Component Analysis (PCA)simplifies a dataset by producing a small number of derived

Determine the effects of stopping smoking on weight gain, Determine the Eff...

Determine the Effects of Stopping Smoking On Weight Gain As part of a study to determine the effects of stopping smoking on weight gain, nine females were weighed on the day t

Managerial report, A. Compute descriptive statistics for each stock and the...

A. Compute descriptive statistics for each stock and the S&P 500. Comment on your results. Which stocks are most volatile?

Accident proneness, Accident proneness  A personal psychological issue w...

Accident proneness  A personal psychological issue which affects the individual's probability of suffering the accident. The concept has been studied statistically under the num

Standard erro, practical application of standard error

practical application of standard error

Applied, Question 1 Suppose that you have 150 observations on production (...

Question 1 Suppose that you have 150 observations on production (yt) and investment (it), and you have estimated the following ADL(3,2) model: (1 – 0.5L – 0.1L2 – 0.05L3)yt = 0.7

Create the venn diagram, Create the Venn diagram: A   - you work for a...

Create the Venn diagram: A   - you work for an insurance company.  80% of your company's staff is sales force and 70% of your company's sales is force is male. in your company

Main effects and interactions, what is the independent variable in how ener...

what is the independent variable in how energetic do people feel after drinking different types of soft drints?

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