When the probability of selecting an individual in a population is proportional to its magnitude, it is called length biased sampling. Length-biased sampling (LBS) situations may occur in biologicalstudies, clinical trials, reliability, queuing models, survival analysis and population studies where a proper sampling frame is absent. In such situations items are sampled at rate proportional to their length so that larger values of the quantity being measured are sampled with higher probabilities. In this note, we present a test to detect the presence of length-biasedness.

exponential, inverse Gaussian, lognormal, gamma, Monte-Carlo simulation.