Browsing MATH Research Publications by Subject "Weak convergence"
Now showing items 15 of 5

Consistent estimation of distributions with type II bias with applications in competing
(Institute of Mathematical Statistics, 200402)A random variable X is symmetric about 0 if X and X have the same distribution. There is a large literature on the estimation of a distribution function (DF) under the symmetry restriction and tests for checking this ... 
Estimation of distributions with the new better than used in expectation property
(Elsevier, 201305)A lifetime X with survival function S, mean residual life function (MRL) M, and finite mean μ is said to be new better than used in expectation (NBUE) if M(t)≤μ for all t≥0. We propose a new estimator for S, based on a ... 
Improved asymptotics of a decreasing mean residual life estimator
(Taylor & Francis Group, 20140917)The mean residual life of a life distribution, X, with a finite mean is defined by M(t) = E[X  tX > t] for t > 0. Kochar etal. (2000) provided an estimator of M when it is assumed to be decreasing. They showed that its ... 
Peakedness and peakedness ordering
(Elsevier, 20120510)The peakedness of a random variable (RV) X about a point a is defined by . A RV X is said to be less peaked about a than a RV Y about b, denoted by X≤pkd(a,b)Y, if P(X−a≤x)≤P(Y−b≤x) for all x≥0, i.e., X−a is ... 
Restricted estimation of the cumulative incidence functions corresponding to competing risks
(Institute of Mathematical Statistics, 2006)In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time t is the probability of failure by time t from a particular type of failure in the presence of ...