@book{466dab4bb802497884e99b437e30e156,

title = "Sampling with probabilities proportional to the variable of interest",

abstract = "To estimate the mean sojourn time, a sample of Tilburg fair visitors was asked for the duration of their stay on the fair grounds. The longer a visitor's sojourn, the larger his/her probability of being interviewed will be; therefore, longer sojourn times will be overrepresented in the sample. As a consequence, the arithmetic sample mean is not a suitable estimator. The paper places this problem against a theoretical background. As a better estimator the harmonic mean of the observed sojourn times is presented. In addition, a variance estimator is given. The properties of these estimators are difficult to derive analytically. Instead, their behaviour is studied in a number of examples.",

keywords = "Probability, Estimation, Sampling, statistics",

author = "J.J.A. Moors and R. Smeets and F.W.M. Boekema",

note = "Pagination: 15",

year = "1996",

language = "English",

volume = "FEW 717",

series = "Research memorandum / Tilburg University, Faculty of Economics and Business Administration",

publisher = "Unknown Publisher",

}