Anh Nguyen Duc

13 Questions 25 Answers 0 Followers

Questions related from Anh Nguyen Duc

Review paper or intro books on Real World Data (Evidence) Analysis?

I would appreciate if anyone can give me titles of review paper or introductory level books on Real World Data/Evidence analysis, particularly for life sicence.

08 August 2015 4,183 0 View

Can I get a text book reference for the proof that g(x) = inf_{y\in Y} f(x,y) is continuous in x given compactness of Y and continuity of f in x ,y?

I would really appreciate if anyone can give me a formal citation for this. I know this is a standard problem for which I also have a proof. However this is requried as a part of a more...

07 July 2015 1,126 4 View

How can I prove the continuity of the optimal value function in convex quadratic programming?

Consider the following setting: g(y,V) = minw\in C(y-w)TV(y-w), C is a closed convex cone, V is positive definite and y is in Rn. Assume an appropriate norm for (y,V), would g(y,V) be continuous...

12 December 2014 2,625 8 View

Existence of minimum of the difference between two quadratic objective function?

For g(y,V,w)=(y−w)TV(y−w), for y in Rn, V is positive definite (e.g. variance matrix) and w is in a closed convex cone C in Rn. Obviously for every fixed y and V minw\in C g(y,V,w) exists But my...

12 December 2014 1,745 6 View

Existence of conic projection - Can anyone help?

Does the projection of a vector $X$ in $\mathbb{R}^k$ onto a closed convex cone (positively homogenous set) $C$ in $\mathbb{R}^k$ with respect to a positve definite projection matrix $V$ always...

08 August 2014 6,731 12 View

Are 200 replicates per scenario enough for a simulation study?

I know it would be difficult to answer concretely but I would like to here from everyone's opinions and experience (I know this depends on the setting, but again a relative answer is also...

06 June 2014 2,320 9 View

Any recommendations for a textbook on convex optimization (incl. sections on conic optimization)?

I would like to know which textbooks would be best for giving an introduction to convex/conic optimization that provide the intuition for the following: - Lagrange multiplier - Dual/Primal...

03 March 2014 2,279 20 View

Could anyone tell me what the mathematical definition/expression for a polyhedral convex set and polyhedral cone in general Euclidean space is?

I have searched through the internet and found "Convex Polyhedron", "Convex Polytope". Are they the same thing? Plus it would be great if there is some elaboration on the properties of such object.

02 February 2014 8,723 6 View

Real life competing risk data sets with left truncation in R?

Is there such a data set freely available, specifically in R? I tried to search in several packages and could find ones with interval censoring even current status data but not yet found any with...

01 January 2014 491 3 View

Is there a universal cook book on sample size calculation?

Does anyone know of a universal cookbook on sample size calculation for as many as possible scenarios (particularly in clinical research) ? Any help is greatly appreciated!

10 October 2013 6,339 21 View

In Latex, what does X_n \asymp Y_n mean ?

I've tried to find the answer from various places: https://groups.google.com/forum/#!topic/sci.math/2DIwkFqATXE http://mathoverflow.net/questions/51761/does-fxgx-imply-fx-asymp-gx But I somehow...

10 October 2013 1,237 8 View

Non-parametric competing risks models for interval censoring in R?

Does anyone know if there is any package in R that can offer non-parametric method for competing risks data sets with interval censoring? I have searched through the survival task view, but there...

10 October 2013 3,379 3 View

Is there a "machinery" to verify the (Borel) measurability of the point-wise supremum of a family of function f(x, \theta)?

I know the supremum is measurable if \Theta is countable. So maybe this is what we should start with ? Any comments and answers are appreciated

09 September 2013 9,677 4 View