Interval-censored data consist of n pairs of observations (k,ri), i =1, ...,n, where h < r{. We either observe the exact survival time X if Zj = r* or only knowX G (k,ri) otherwise. We established the asymptotic normality of the nonparametric MLEof a survival function S(t) (= Pr(X > t) with such interval-censored data and presentan estimate of the asymptotic variance of the MLE....

We propose a new robust hypothesis test for (possibly nonlinear) constraints on Mestimators with possibly non-differentiable estimating functions. The proposed test employs a random normalizing matrix computed from recursive M-estimators to eliminate the nuisance parameters arising from the asymptotic covariance matrix. It does not require consistent estimation of any nuisance parameters, in co...

In this article, a new censoring scheme is considered, namely, a middle part of a random sample is censored. A treatment for reconstructing the missing order statistics is investigated. The proposed procedure is studied in detail under exponential distribution which is widely used as a constant failure model in reliability. Different approaches are used to obtain point and interval reconstructo...

A crucial challenge in predictive modeling for survival analysis applications such as medical prognosis is the accounting of censored observations in the data. While these time-to-event predictions inherently represent a regression problem, traditional regression approaches are challenged by the censored characteristics of the data. In such problems the true target times of a majority of instan...

In order to identify patients likely to be infected with resistant bacterial pathogens, analytic methods such as standard regression (SR) may be applied to surveillance data to determine patient- and institution-specific factors predictive of an increased MIC. However, the censored nature of MIC data (e.g., MIC < or = 0.5 mg/liter or MIC > 8 mg/liter) imposes certain limitations on the use of S...

The β-Birnbaum–Saunders (Cordeiro and Lemonte, 2011) and Birnbaum–Saunders (Birnbaum and Saunders, 1969a) distributions have been used quite effectively to model failure times for materials subject to fatigue and lifetime data. We define the log-β-Birnbaum–Saunders distribution by the logarithm of the β-Birnbaum–Saunders distribution. Explicit expressions for its generating function and moments...

Binomial trees are widely used for both financial and real option pricing due to their ease of use, versatility and precision. However, the classic approach developed by Cox, Ross, and Rubinstein (1979) applies only to a Geometric Brownian Motion diffusion processes, limiting the modeling choices. Nelson and Ramaswamy (1990) provided a general method to construct recombining binomial lattices w...