Bounds for the mean residual life function of a <Emphasis Type="Italic">k</Emphasis>-out-of-<Emphasis Type="Italic">n</Emphasis> system

In the reliability studies, k-out-of-n systems play an important role. In this paper, we consider sharp bounds for the mean residual life function of a k-out-of-n system consisting of n identical components with independent lifetimes having a common distribution function F, measured in location and scale units of the residual life random variable X _t  = (X−t|X > t). We characterize the probability distributions for which the bounds are attained. We also evaluate the so obtained bounds numerically for various choices of k and n.     

Inference for the two-parameter bathtub-shaped distribution based on record data

Here we consider the record data from the two-parameter of bathtub-shaped distribution. First, we develop simplified forms for the single moments, variances and covariance of records. These distributional properties are quite useful in obtaining the best linear unbiased estimators of the location and scale parameters which can be included in the model. The estimation of the unknown shape parameters and prediction of the future unobserved records based on some observed ones are discussed. Frequentist and Bayesian analyses are adopted for conducting the estimation and prediction problems. The likelihood method, moment based method, bootstrap methods as well as the Bayesian sampling techniques are applied for the inference problems. The point predictors and credible intervals of future record values based on an informative set of records can be developed. Monte Carlo simulations are performed to compare the so developed methods and one real data set is analyzed for illustrative purposes.     

Merger waves,entry-timing,and cross-border acquisition completion: A frictional lens perspective

We study the impact of deal announcement and entry-timing within a cross-border acquisition (CBA) wave on the likelihood of acquisition completion. Drawing upon the frictional lens perspective, we identify two types of frictional forces- wave-friction and partner-friction within merger waves. We follow a simulation-based methodology and identify three CBA waves for Indian acquirers between 1995 and 2015. Our findings suggest that acquisition announcement within a merger wave as compared to outside of a wave is negatively related to the likelihood of deal completion. Further, within a merger wave, we find an inverted U-shaped relationship between entry-timing and the likelihood of deal completion.