p. (x) l. 5, “Chapter 4” should read “Chapter 6”. p. 24–25: As it stands, the proof of Lemma 2.2.3 is wrong, because ψ is not necessarily surjective. However, if P is a finitely generated projective module, then the proof works. So at the beginning of the section, one should make the further observation that P = F ′(ΓΓ) is a finitely generated projective module. This is because among all projec...

BACKGROUND Recent studies have suggested that statins possess diverse immune modulatory and anti-inflammatory properties. As statins might attenuate inflammation, statin therapy has been hypothesized to reduce mortality in HIV-infected individuals. We therefore used a Danish nationwide cohort of HIV-infected individuals to estimate the impact of statin use on mortality before and after a diagno...

We show how to combine censoring technique for Markov chain and strong stochastic comparison to obtain bounds on rewards and the first passage time. We present the main ideas of the method, the algorithms and their proofs. We obtain a substantial reduction of the state space due to the censoring technique. We also present some numerical results to illustrate the effectiveness of the method.

We consider the problem of estimation of the parameters of the Marshall-Olkin Bivariate Weibull distribution in the presence of random censoring. Since the maximum likelihood estimators of the parameters can not be expressed in a closed form, we suggest an EM algorithm to compute the same. Extensive simulations are done to conclude that the estimators perform efficiently under random censoring.

The aim of this article is two fold. First we discuss the maximum likelihood estimators of the unknown parameters of a two-parameter Birnbaum-Saunders distribution when the data are progressively Type-II censored. The maximum likelihood estimators are obtained using the EM algorithm by exploiting the property that the BirnbaumSaunders distribution can be expressed as an equal mixture of an inve...

Prediction on the basis of censored data is very important topic in many fields including medical and engineering sciences. In this paper, based on progressive Type-II right censoring scheme, we will discuss Bayesian two-sample prediction. A general form for lifetime model including some well known and useful models such asWeibull and Pareto is considered for obtaining prediction bounds ...

In Reply: The comments of Dr Wiwanitkit are well taken. In our article (1), our main concern was to emphasize the big difference between plagiarism of ideas and plagiarism of text, especially in scientific writing, where we believe text is just a transfer medium for ideas, which are the essence of scientific work (2-5). Paraphrasing of a scientific text is not always easy, if possible at all (6...

Consider critical percolation on a rhombus in the hexagonal lattice, and let A the event of a left to right crossing (by 1’s). Suppose we sample configurations from A by starting from some fixed configuration in A, and then at each step a uniformly random hexagon is resampled as long as the resulting configuration is in A. It is easy to see that this sampling procedure converges to the uniform ...