Residual Probability Function for Dependent Lifetimes

Confidence bands for percentile residual lifetimes

Evolution of the Dependence of Residual Lifetimes

We investigate the dependence properties of a vector of residual lifetimes by means of the copula associated with the conditional distribution function. In particular, the evolution of positive dependence properties (like quadrant dependence and total positivity) are analyzed and expressions for the evolution of measures of association are given.

Probability Theory and Multiple Conscious Lifetimes

Having a conscious, first-person awareness carries information. I use simple probability arguments to show that the chances are large that I have experienced more than one conscious lifetime. An elementary lottery model is worked out in the context of conditional probability methods and the Copernican principle. I argue that the methods of physics are in principle not able to deal with a first-...

Estimation of the Survival Function for Negatively Dependent Random Variables

Let be a stationary sequence of pair wise negative quadrant dependent random variables with survival function {,1}nXn?F(x)=P[X>x]. The empirical survival function ()nFx based on 12,,...,nXXX is proposed as an estimator for ()nFx. Strong consistency and point wise as well as uniform of ()nFx are discussed

MEAN RESIDUAL LIFETIMES OF CONSECUTIVE-k-OUT-OF-n SYSTEMS

In this paper we study reliability properties of consecutive-k-out-of-n systems with exchangeable components. For 2k ≥ n, we show that the reliability functions of these systems can be written as negative mixtures (i.e. mixtures with some negative weights) of two series (or parallel) systems. Some monotonicity and asymptotic properties for the mean residual lifetime function are obtained and so...