Resumen
The reversed hazard rate is an important measure to study the lifetime random variable in reliability theory, survival analysis and stochastic modeling. In the present paper, we study the decreasing reversed hazard rate (DRHR) property of order statistics and record values. Some properties of order statistics related to the increasing uncertainty in past life (IUPL) class have also been studied. We show that if Xk:n is DRHR (IUPL), so are Xk-1:n,Xk:n+1, and Xk-1:n-1 where Xk:n denotes the k-th order statistic of a random sample of size n. It is shown that if the n-th upper k-record Rn(k) is DRHR then so is Rn-1(k). Further, we show that DRHR property passes from n-th upper record Rn to Rn(k).

Resumen
Let X1:n?X2:n???Xn:n denote the order statistics from a sample of n independent random variables X1,…,Xn, all identically distributed as some X with support (0,8). For a given positive integer m, m?n, let Dk,n(m)=Xm+k-1:n-Xk-1:n, k=1,…,n-m+1, denote the m-spacings of the X-sample, here X0:n=0. It is shown that if X has a logconvex [logconcave] density, then for k=1,…,n-m+1, Dk,n(m) is smaller [larger] than Dk+1,n+1(m) in the likelihood ratio order. It is also shown that if X has a logconcave density then, for k=2,…,n-m+1, Dk,n(m) is smaller than Dk-1,n(m+1) in the likelihood ratio order. If, instead, X is assumed to have an increasing failure rate and a decreasing reversed hazard rate, then this result can be weakened from the likelihood ratio order to the hazard rate order. We thus strengthen and complement some results in Misra and van der Meulen (J. Statist. Plann. Inference 115 (2003) 683.) and Hu and Wei (Statist. Probab. Lett. 53 (2001) 91.).