Now showing items 1-5 of 5

  • Consistent estimation of distributions with type II bias with applications in competing 

    El Barmi, Hammou; Mukerjee, Hari (Institute of Mathematical Statistics, 2004-02)
    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 

    Lorenzo, Edgardo; Malla, Ganesh; Mukerjee, Hari (Elsevier, 2013-05)
    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 

    Lorenzo, Edgardo; Mukerjee, Hari (Taylor & Francis Group, 2014-09-17)
    The mean residual life of a life distribution, X, with a finite mean is defined by M(t) = E[X - t|X > 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 

    El Barmi, Hammou; Mukerjee, Hari (Elsevier, 2012-05-10)
    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 

    El Barmi, Hammou; Mukerjee, Hari (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 ...