SEARCH WITHIN CONTENT
Citation Information : Statistics in Transition New Series. Volume 21, Issue 4, Pages 159-165, DOI: https://doi.org/10.21307/stattrans-2020-036
License : (CC BY-NC-ND 4.0)
Received Date : 31-January-2020 / Accepted: 30-June-2020 / Published Online: 15-September-2020
Fitting parametric models or the use of the empirical cumulative distribution function are problematic when it comes to the estimation of tail probabilities from small samples. A possible remedy is to fuse or combine the small samples with additional data from external sources and base the inference on the so called density ratio model with variable tilt functions, which widens the support of the estimated distribution of interest. This approach is illustrated using residential radon concentration data collected from western Pennsylvania.
FOKIANOS, K., (2007). Density ratio model selection. Journal of Statistical Computation and Simulation, 77(9), pp. 805–819.
FOKIANOS, K., KAIMI, I., (2006). On the effect of misspecifying the density ratio model. AISM, 58, pp. 475–497.
KEDEM, B., DE OLIVEIRA, V., SVERCHKOV, M., (2017). Statistical Data Fusion, World Scientific, Singapore.
OWEN, A., (2001). Empirical Likelihood, Chapman & Hall/CRC, Boca Raton, Fl.
PA DEPARTMENT OF ENVIRONMENTAL PROTECTION. QIN, J., (2017)., Biased Sampling, Over-identified Parameter Problems and Beyond, Springer, Singapore.
RACK-AMBER, T., (2013)., American Lung Association in Pennsylvania to provide free radon testing kits.
VOULGARAKI, A., KEDEM, B., and GRAUBARD, B. I., (2012). Semiparametric regression in testicular germ cell data. Annals of Applied Statistics, 6, pp. 1185– 1208.
WIKIPEDIA CONTRIBUTORS, (2019). Geology of Pennsylvania - Wikipedia, The Free Encyclopedia. [Online; accessed 20-December-2019].
ZHANG, X., PYNE, S., KEDEM, B., (2019). Estimation of Radon Concentration in Pennsylvania Counties by Data Fusion. arXiv e-prints, arXiv:1912.08149.