In this paper, we review some recent results on the stochastic comparison of order statistics
and related statistics from independent and heterogeneous proportional hazard rates …

The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

We review some of the recent developments in the area of stochastic comparisons of order
statistics and sample spacings. We consider the cases when the parent observations are …

In summer of 2010, the first author (HL) visited the second author (XL) at Lanzhou University,
China, and chaired the dissertation defense for XL's two graduating doctoral students …

Let X1,…, Xn be independent exponential random variables with Xi having hazard rate λi, i=
1,…, n. Let λ=(λ1,…, λn). Let Y1,…, Yn be a random sample of size n from an exponential …

Let X1,…, Xn be independent random variables with Xi having survival function λi, i= 1,…, n,
and let Y1,…, Yn be a random sample with common population survival distribution …

For x=(x1, x2,…, xn)∈ R+ n, the second dual form of the Hamy symmetric function is defined
by where r∈{1, 2,…, n} and i1, i2,…, in are positive integers. In this paper, we prove that …

For heterogeneous Weibull samples with a common shape parameter and weakly majorized
scale parameters, we study the likelihood ratio order and the stochastic order between …

Let X be a nonnegative and continuous random variable having the probability density
function (pdf) f (.). Let X k: n (k= 1, 2,…, n) denote the kth order statistic based on n …

This paper discusses ordering properties of lifetimes of parallel systems with two
independent heterogeneous gamma components in terms of dispersive and star orders. It is …